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仿真机器人操作 · 第 1 次尝试 · 任务成功

解方程(选数字补全等式)任务成功第二档

185 步 · 7.4 秒 · 40 条 reasoning summary · 38 次动作判断

模型:gpt-6-astra(配置别名 model-test-ldk)
185步数(帧)
7.4 秒轨迹时长
40条 reasoning summary
38次动作判断
0.04 秒控制步长
任务指令

通过选择正确的缺失数字或运算符并将其放到答案板上来完成等式,然后重置机械臂。

英文原文126 字
Complete the equation by selecting the correct missing number or operator and placing it on the pad, then reset the robot arm.
这条轨迹在记录什么:视频是三路相机按时间对齐后的合成画面,左侧为第三人称主视角,右侧上下分别是左、右腕部相机。 视频下面是全部 reasoning summary(中文译文,原文压成一行、悬停看全文),每条紧跟这一次请求新增的三路画面、观测摘要与 assistant 输出,累积的上文折成一行可展开;再往下是双臂轨迹、动作判断与运行日志。
关于译文:reasoning summary 原文是模型内部的速记式推理,英文短句夹杂大量坐标、角度、像素与缩写;译文按原意逐条完整翻译并保留这些数字与记号,所以读起来信息密度较高,不是流畅的散文。
01

观察回放

三路相机合成 · 960×480
步 —
主视角 左腕相机 右腕相机

播放或拖动视频,下面的对话会高亮到对应的那一条并自动滚到视野里;内容全部摊开,不用点。点任意一条的标题行,视频会跳到该时刻并停住。

请求分块时间条
02

对话

71 个请求块 · 全部摊开
随视频高亮

共 71 个请求块:每个请求一个块,编号与上方时间条一一对应,没有输出思考的请求也保留(显示一行灰字说明)。按时间从上到下排开,滚到哪看到哪,不用点开任何东西。时刻 = 步号 × 0.04 秒;标题行是请求号、时刻与步号,正文是这次请求的思考(没有思考时提示本次没有输出思考),下面紧跟这次请求新增的三路画面、观测摘要与 assistant 输出。累积的上文折成一行「上文 N 条已省略」,点了就地展开中文摘要。

reasoning summary(非 CoT) 模型自己写的推理摘要,不是逐字思维链;原始隐式推理 API 不返回。

#00:00.0步 0当前播放
reasoning summary我们需要将运算符乘法操作到空白3 [ ]2=6。需要技能读取和记录。
原文89 字
We need manipulate operator multiplication onto blank 3 [ ]2=6. Need skill read and json.
#10:00.0步 0当前播放
本次没有输出思考
#20:00.0步 0当前播放
reasoning summary需要定位桌面z可能.75或.74。运算符圆盘在像素347,320。需要抓取扁平圆盘可能z .75厚度.01直径.06。需要自上而下夹爪从x两侧跨过圆盘。选择右臂。第六连杆自上而下q以X向下,Y横跨X?初始X全局+y,Y -x,Z+z。旋转局部Y +90 -> X=-z,Y=-x,Z=+y。q初始乘以 => [0.5,-0.5,0.5,0.5]。需要逐渐旋转.4弧度姿态并从右初始向, z .99平移,使指尖在旋转完成前保持间隙。需要通过相机假设平面和三角测量几何位置,可能桌面匹配腕部。可以从同一物体可见高机位和腕部计算桌面高度;×在腕部初始不可见(靠近底部)。答案板立体可见,需要像素中心左腕空答案板部分靠近右边缘?更好使用数字3高机位246201腕部477290。数值三角测量获得z .77。
原文852 字
Need locate tabletop z likely .75 or .74. Operator disk at pixel347,320. Need grasp flat disk maybe z .75 thickness .01 dia .06. Need top down gripper straddle disk from x sides. Choose right arm. Link6 top down q with X down, Y across X? initial X global +y, Y -x, Z+z. Rotate local Y +90 -> X=-z, Y=-x, Z=+y. q initial z90 times y90 => [0.5,-0.5,0.5,0.5]. Need gradually rotate .4 rad poses and translate from right initial towards x.05,y-.24 z .99 so tip clear until rotation completed. Need geometric locations via camera assumed plane and triangulate maybe table matches wrist. Can compute table height from same object visible high & wrist; × not visible wrist initial (near bottom). pad stereo visible, need pixel center left wrist empty pad partly near right edge? better use number3 high246201 wrist477290. Numeric triangulation obtains z .77.
#30:00.0步 0当前播放
reasoning summary需要自上而下抓取圆盘半径.032厚度.006?桌面z .75可能瓷砖在.76。估计运算符位置x .05 z .756。答案板y .01。需要右臂到达x .05 第六连杆在z .90目标向下手指底部.745围绕薄圆盘两侧。需要小心夹爪垫稳定在远端附近x .14,抓取局部中心.135 => 第六连杆 .90圆盘.761。要对齐自上而下四元数[0.5,-.5,.5,.5],局部Y=-闭合x;圆盘邻居在(减)和.15(除)所以之间间隙足够约.04。手指打开间隙约.09。右臂从前方上方接近运算符同时定向向下并足够高。当前第六连杆 .30,-.352,.922局部X+,手指范围.158无危险。旋转向下需要第六连杆 .99以间隙(最小.83)。以.4弧度增量使用。可以移动.3->.23 x和z .972,然后到.15等。每5步实际小增量可能由于关节0.03。300预算足够约120。让我们先右移.23,-.352,.975旋转.4。
原文961 字
Need top down grasp disk radius .032 thickness .006? Table z .75 likely tiles at .76. Estimate operators positions x .05 y-.27 z .756. Pad y .01 x-.087. Need right arm reach x .05 y-.27 link6 at z .90 target downward fingers bottom .745 around sides of thin disk. Need carefully gripper pads stable near far end at x .14, grip local center .135 => link6 .90 disk .761. To align topdown quaternion [0.5,-.5,.5,.5], localY=-envX closing x; disk neighbors at x-.05 (minus) and .15(div) so enough gap ~.04 between. Fingers opening gap ~.09. Approach right arm across front above operators while orient down and high enough. Current link6 .30,-.352,.922 localX+envY, finger extent .158 no hazard (z.922). Rotating down need link6 .99 to clearance (min .83). Use in .4rad increments. Could shift .3->.23 x and z .972, then to .15 etc. Each 5 steps actual small increments maybe 0.03 due joints. 300 budget enough ~120. Let's first right move .23,-.352,.975 rotate .4.
#40:00.2步 5当前播放
reasoning summary我们动作非常部分0.025 0.18弧度。需要预算约300足够约100移动。需要控制目标更慢。右俯仰增加.4相对测量.188 => .58目标。移动x .21 z .98。
原文186 字
We have action very partial 0.025 0.18rad. Need budgets ~300 enough ~100 move. Need control target slower. Right pitch increase .4 relative measured .188 => .58 target. Move x .21 z .98.
#50:00.4步 10当前播放
本次没有输出思考
#60:00.6步 15当前播放
reasoning summary慢约.03每5。60步到目标可以。需要更好的自适应轨迹。继续。
原文85 字
Slow ~.03 per5. 60 steps to target okay. Need better trajectories adaptive. Continue.
#70:00.8步 20当前播放
reasoning summary需要70步旋转?进展.18弧度5。充足300。桌面.75?瓷砖中心可能z .754?随着视图接近三角测量时间。当前腕部除法部分在(163,472)已知相机高机位(401,320)。可以三角测量瓷砖边缘顶部椭圆当前中心在外。需要稍后视图。
原文283 字
Need 70 steps rotate? progressing .18 rad5. plenty300. Table .75? tile center maybe z .754? Triangulate times as view approaching. Current wrist divide partially at (163,472) known cam high (401,320). Could triangulate tile edge top ellipse currently center outside. Need later view.
#80:01.0步 25当前播放
reasoning summary慢但剩275充足约50接近30抓取60运输40重置。需要跨圆盘直径.06对齐?行距.1;圆盘半径.03是开口.09可能手指跨过。需要桌面z .74?从3中心顶部.775答案板厚度.012数字.024;桌面.74。圆盘顶部.752可能。需要现在三角测量除法高机位(401,319)腕部(239,417)在图像观测25。
原文366 字
Slow but 275 left ample ~50 approach 30 grasp 60 transit 40 reset. Need alignment across disc diameter .06? Row dist .1; disk radius .03 yes opening .09 maybe fingers straddle. Need tabletop z .74? From 3 center top .775 with pad thickness .012 number .024; table .74. Disks top .752 maybe. Need triangulate division now high(401,319) wrist (239,417) at image obs25.
#90:01.0步 25当前播放
reasoning summary顶部瓦片 z 为 .77,底座 .76,桌面 .75,很可能如此。需要右侧俯仰收尾,且 x=.05、y=-.27。在分隔符上方时不能下降。手指当前范围 z 为 .858,高于 .77 的最小值为 .088。很好。在俯视抓取连杆 z .915 时,指尖可能为 .758。张开宽度约 .16?相邻距离 .10,因此夹爪张开手指 x 为 +/- .08 时,下降过程中可能碰到相邻物体!需要选择沿 y 方向闭合而不是沿 x 方向,以避开相邻行。在当前接近姿态下,局部 Y=-世界X,闭合方向跨 x;初始图像中夹爪张开宽度 0.17?可能在负 .-05 与分隔符 .15 之间碰到相邻物体,半径为 .032,因此从中心到相邻边缘的间隙为 .07。张开垫片 +/- .055?需要通过图像真实几何测量。右腕部指尖 117 和 520 640 表明张开约 .18?根据标定可能为 .17,宽度 .17。在高机位图像中,起始时右侧位于 573 等之间,为 .20。可以将偏航旋转到局部夹爪垂直,使 Y 为全局 y,俯视 q=[.707,0,.707,0],闭合方向为全局Y,而当前 q[.5,-.5,.5,.5] 闭合方向为全局-X。需要绕世界Z旋转 -90 作为垂直。现在可以用 4 次移动完成,每次 .4 弧度。任务预算充足,为 275。希望俯视姿态 q .707 0 .707 0 可能更容易到达,或受腕部关节限制。我们可以选择俯视且 Y=-x,但可能因相邻物体产生障碍。必须安全选择沿 y 方向。路径居中,夹爪张开宽度 y 为 ±.06,桌面朝向答案板方向为空,除了 , 处的 0,不是直接路径。需要从当前绕向下轴逐步组合旋转。使用从测量值计算目标到最终 .45 长度,位置安全地以 .10 增量移动。
原文1,528 字
Tile top z .77 base .76 table .75 likely. Need right pitch finishing and x=.05 y=-.27. Need not lower while over divide. fingers now extent z .858 min above .77 .088. Good. At topdown grasp link z .915 maybe tips .758. Open width ~.16? Neighbor dist .10 so gripper open finger x +/- .08 could contact neighbors while descending! Need choose closing along y rather than x avoids neighbors row. At current approach orientation local Y=-worldX, closure across x; open gripper width initial images 0.17? Could collide neighbor times between minus .-05 and divide .15 with radius .032 so gap from center times to neighbor edge .07. Open pads +/- .055? Need measure via image real geometry. Fingertips at right wrist x0 117 and 520 640 suggests open ~.18? From calibration zcam maybe .17, width .17. In high image right at start between x473 573 etc .20. Could rotate yaw local gripper vertical where Y global y, topdown q=[.707,0,.707,0] closure globalY vs now q[.5,-.5,.5,.5] closure global-X. Need rotate about worldZ -90 as vertical. Can do now in 4 movements with .4 radians. Task budget plenty 275. Want orientation topdown q .707 0 .707 0 may reach easier or wrist joint limits. We can choose topdown with Y=-x but could obstacle due neighbor. Must safety choose along y. Path central with gripper open width y ±.06 table toward pad empty except 0 at x-.09,y-.15, not direct. Need rotate from current around down axis combined gradually. Use slerp compute target from measured to final .45 length, position safe .10 increments.
#100:01.0步 25当前播放
reasoning summary考虑当前姿态闭合方向为世界X,答案板圆盘间距 .1,直径 .064,夹爪总宽度可能为 .16,在下降位置手指 x 为 +/- .08 会碰到相邻圆盘吗?需要将闭合方向改为世界 y,使宽度位于没有物体的行之间。原始夹爪张开间隙约 .13?在观测25 中手指出现在 ÷ 的两侧。在预期时刻需要将偏航旋转到 0,使局部 Y 为世界 y。当前偏航为 90。可以在悬停时完成旋转偏航以避免碰撞。需要选择旋转到目标 q [.707,0,.707,0],俯视局部 Y 为 y。旋转距离 1.675 需要 4 次以上调用。我们有充足预算 275。我们可以旋转并移动到 × 上方,足够垂直指尖 .847。然后下降 .09 到连杆6 .912,指尖 .754,桌面 .75,圆盘顶部 .771。在局部 .147 指尖 .158 处接触抓取,因此目标 .911 以在 .14 处抓取边缘顶部 .771。桌面 .75,因此指尖 .753。
原文865 字
Considering orientation currently closing X world, pad disks spaced .1 with diameter .064 and gripper total width maybe .16, at down position fingers x +/- .08 would hit adjacent disks? Need change closing direction to y world so width between row with no objects. Original gripper open gap around .13? At obs25 fingers appear sides of ÷. At intended times need rotate yaw to 0 making local Y world y. Current yaw 90. Could complete rotated yaw while hovering to avoid clipping. Need choose rotate to target q [.707,0,.707,0] top down local Y y. Rotation distance 1.675 requires 4+ calls. We have plenty budget 275. We can do rotate and move to × overhead z1.005 enough vertical tips .847. Then lower .09 to link6 .912 with tips .754 table .75, disc top .771. Contact grasp at local .147 tips .158 so target .911 to grip rim top .771 at .14. Table .75 so tips .753.
#110:01.2步 30当前播放
reasoning summary步骤很多,但 270 足够。姿态插值实际较慢,每5步 0.16。可能需要总共 40 次对齐。每次计算或近似。当前到 b。下一个目标 [0.716,-.220,.493,.439]。
原文188 字
Lots steps but 270 ample. Orientation interpolation slow actual 0.16 per5. Need perhaps 40 total alignment. Compute each or approximates. Current to b. Next target [0.716,-.220,.493,.439].
#120:01.2步 30当前播放
本次没有输出思考
#130:01.4步 35当前播放
reasoning summary由于关节速度,我们花费了许多决策,但预算265充足,到目标有100。除了工具原因外不需要额外评论。我们可以使用 q 增量选择在 .48 内偏航为零的端点。可能需要提交固定的中间 q [.734,-.179,.554,.356],距离为 .48。让我们每次调用重复精确迭代计算?不需要恒定轨迹 q,起始目标最终已知;采样约束。
原文396 字
We spending many decisions due joint speeds but budget265 plenty 100 to target. Need no extra commentary except tool reasons. We can use q incremental choose endpoint yaw zero within .48. Need perhaps commit fixed intermediate q [.734,-.179,.554,.356] yields .48 from. Let's calc repeated exact iterative every calls? no need constant trajectory q starting target final known; sample constraints.
#140:01.4步 35当前播放
本次没有输出思考
#150:01.4步 35当前播放
本次没有输出思考
#160:01.6步 40当前播放
本次没有输出思考
#170:01.6步 40当前播放
本次没有输出思考
#180:01.8步 45当前播放
本次没有输出思考
#190:01.8步 45当前播放
本次没有输出思考
#200:02.0步 50当前播放
reasoning summary我们有 250 充足,但姿态太慢,每5步约 .17弧度,还需约 25 步。让我们计算下一个 q。
原文99 字
We have 250 plenty but orientation so slow .17rad per5 approx 25 more steps. Let's q computed next.
#210:02.0步 50当前播放
本次没有输出思考
#220:02.2步 55当前播放
本次没有输出思考
#230:02.2步 55当前播放
本次没有输出思考
#240:02.4步 60当前播放
本次没有输出思考
#250:02.6步 65当前播放
reasoning summary我们消耗了 65,主要是旋转,但仍有充足 235。需要精确。连杆 z .963,指尖 .806,高于顶部 .771 为 .035。需要下降 .041 到 .922,得到 .764 指尖。要抓取瓦片顶部 .772 底部 .760?桌面 .75?根据数据顶部 .771。瓦片厚度可能为 .006,z 中心 .765,底部 .76,桌面 .76?需要三角测量边缘和桌面。腕部垂直眼位置。在 .963 时投影尺寸 200 像素,直径 .064,得到距离 .127;是的。需要抓取指尖 .759?如果桌面 .755?让我们使用图像 65 瓦片表观像素坐标加上已知顶部匹配高机位相机计算。世界顶部 .771,底部 .76 可能。初始高机位瓦片顶部中心。桌面平面可能为 .75?机器人世界任务标准桌面 z .75。操作符令牌圆柱半径 .03,半长 .007;顶部 .764?我们对除号白色三角测量精确为 .771,是凸起的?需要查看更高分辨率裁剪?同样的原始图像。我们可以用高机位/腕部对同一表面边缘进行三角测量,以独立估计。高机位中心 347,320(白色符号)顶部 z .77。除号完整圆外半径 16 像素,世界 .03,顶部 .765?好吧,实际瓦片主体顶部 .765,符号 .772?很可能操作符 "3d" 十字凸起 .005,黑色圆柱厚度 .008。捏取两侧必须指尖刚好在桌面 .752 上方。连杆6 x 手指长度 .1576,设置 z .9116,指尖 .754。接触手指垫沿侧面末端 2 厘米,z .754-.78 覆盖物体。典型操作任务要求末端执行器 z .918。我们应该接近 .925 然后检查。需要先向下姿态 .707。
原文1,439 字
We consumed 65 mostly rotation but plenty 235. Need be precise. Link z .963 fingertip .806 above top .771 by .035. Need descend .041 to .922 gives .764 tip. To grasp tile top .772 bottom .760? table .75? From data top .771. Tile thickness maybe .006 z center .765 bottom .76 table .76? Need triangulate rim and table. Wrist vertical eye loc. At .963 projected size 200 pixels diameter .064 gives dist .127; yep. Need grasp tip .759? If table .755? Let's calculate using image 65 tile apparent pixel coords plus known top match camera high. World at top .771, bottom .76 maybe. Initial high tile top center. Table plane likely .75? Robot worlds tasks standard table z .75. Operator tokens cylindrical radius .03 half length .007; top .764? Our triangulation exact .771 for division symbol white is raised? Need check. Could view higher res crop? same raw. We can triangulate rim same surface high/wrist to estimate independent. high center 347,320 (white symbol) top z .77. Division full circle outer 16 px radius world .03, top .765? Fine actual tile body top .765 symbol .772? Likely operator "3d" cross protrudes .005 black cylinder thickness .008. Pinch sides must tip just above table .752. With link6 x finger length .1576, set z .9116 tip .754. Contact finger pads along side terminal 2cm z .754-.78 covers object. Typical manipulation task requires eef z .918. We should approach .925 then inspect. Need orientation first down .707.
#260:02.7步 67当前播放
reasoning summary需要 z 接触在 .92 左右?桌面表面 .75?瓦片顶部 .771,厚度 .005?之前高机位三角测量 .771,也许黑色圆盘 z .755?现在使用匹配中心清晰三角测量。需要腕部中心 (328,229) 和高机位 (347,320)。
原文231 字
Need z contact around .92? Table surface .75? Tile top .771, thickness .005? High earlier triangulation .771 perhaps black disc z .755? Triangulate now using matching center clearly . Need wrist center (328,229) and high (347,320).
#270:02.7步 67当前播放
reasoning summary现在需要下降 0.02 到指尖 .768,也许 .764。可能圆盘底部 .76,顶部 .767。目标连杆 .9185?.1576+.7615=.9191。手指垫 x .13-.15,需要在 x .153 处到达 .765 => 连杆 .918。桌面 .75?标定顶部 .766。之前假设桌面 .75。可以三角测量阴影圆盘底部也许 .757?让我们看高机位形状瓦片边缘底部同一 x。右视图边缘。顶部为 .766。圆柱厚度可能为 .008,桌面 .75?所以 .757?需要下降到 .92,指尖 .762。足够抓取。使用 .926 然后 .918。
原文482 字
Now need lower 0.02 to tip .768 and maybe .764. Likely disc bottom .76 top .767. Goal link .9185? .1576+.7615=.9191. finger pads x .13-.15, need reach .765 at x .153 => link .918. Table .75? Calibration top .766. Table earlier assumed .75. Could triangulate shadow disc bottom maybe .757? Let's see high shape tile edge bottom v338 same x. Right view edges. Top is .766. Cylinder thickness maybe .008, table .75? So .757? Need lower to .92 tip .762. enough grip. Use .926 then .918.
#280:02.8步 69当前播放
reasoning summary现在尖端 .7714,顶部 .766,差 5 毫米。需要到 .9175,尖端 .7599,几乎到底部 .76。瓷砖顶部 .766,厚度 .008?需要抓取垫片 x .14?最大 .1576,尖端最终 .7599,重叠良好 .006。需要桌面 .75?让我们用新数据三角测量顶部:高瓷砖 (347,320) 右侧 (320,260) 得出 .768?之前是 .766。根据几何已知桌面是 .75?视觉上所有桌面一致。我们可以用准确对应中心 .50 -270 计算平面顶部。镜头在俯视 q。推断尺寸:圆盘半径。高圆盘直径 32 @ 深度 .56 => .062。厚度也许 .006。桌面 .75?减去顶部 .765 也许 .005,桌面 .76?早期 6 顶部 .774。很可能桌面 .75,垫片顶部 .76,数字顶部 .785。× 圆盘 .768,底部 .76?让我们用圆像素物理估计和高处顶部边缘匹配。需要避免盲接触。下降到 .9195,尖端 .7619。到底部安全余量 2 毫米也许。
原文845 字
Now tip .7714 top .766 difference5mm. Need go .9175 tip .7599 almost bottom .76. Tile top .766, thickness .008? Need grasp pads x .14? max .1576 tip final .7599 good overlap .006. Need table .75? Let's triangulate top with new: high tile (347,320) right (320,260) yields .768? earlier .766. Table from geometric known is .75? visually all table consistent. We can calculate plane top with accurate corresponding center .50 -270. Lens at top-down q. infer dimensions: disk radius. high disk diameter32 px @ depth .56 => .062. thickness maybe .006. table .75? Subtract top .765 maybe .005 table .76? Early 6 top .774. likely table .75, pad top .76 and number top .785. × disk ztop .768, bottom .76? Let's use circle pixel physical estimate and high top edges match. Need no blind contact. Descend to .9195 tip.7619. Safe margin2mm to bottom maybe.
#290:02.8步 71当前播放
reasoning summary潜在底部 z .7654 正好瓷砖顶部 .766,垫片接触最小。需要再下降 .006 以连接 .9175 -> 底部 .7599,桌面 .76?桌面实际 .75 也许顶部 .766 黑色厚度 .016?需要通过三角测量估计桌面 z,中心 0 未知。从圆盘顶部 .766 和可能的桌面 .75。底部 .752?可以标定瓷砖边缘像素较低中心 335?半径边界高 303..336。半径 .03,顶部侧面厚度可见几个像素。桌面 .75?使用相机前方操作员顶部 .766,圆盘很可能在 .76?让我们三角测量边缘顶部中心一致。当前腕部瓷砖边缘来自 .921 相机;侧面前方阴影等。桌面 z 可以通过相机之间的木节视觉对应也许选择。已经从已知半径约 .03,灰色中心 .766;侧面低于 .76 -> 桌面 .75。可以降低连接 .9165 得到尖端 .7589 足够。典型夹爪垫片在 x=.13-.155 => 如果连接 .9165 偏移 .1505 是,接近垫片,接触瓷砖顶部 .766。需要到达 .9195 测量 .923 由于物理?现在命令 .9165,2 然后检查。
原文978 字
Potential bottom z .7654 exactly tile top .766 pad contact minimal. Need descend .006 more to link .9175 -> bottom .7599 table .76? Table actual .75 maybe top .766 black thickness .016? Need estimate table z by triangular 0 center unknown. From disk top .766 and likely table .75. bottom .752? Could calibrate tile edge pixel lower center 335? radius boundary high 303..336. radius .03 top side thickness seen few px. Table .75? Using camera front operator top .766, likely disks at .76? Let's triangulate edge top center consistent. Current wrist tile edge from .921 camera; sides front shadow etc. Table z can visual correspond wood knots between cams maybe select. Already from radius known approx .03, gray center .766; side below .76 -> table .75. Could lower link .9165 gives tip .7589 enough. Typical gripper pad at x=.13-.155 => contact tile top .766 if link .9165 offset .1505 yes near pad. Need reach .9195 measured .923 due physics? Command now .9165, 2 then inspect.
#300:02.9步 73当前播放
reasoning summary我们可能在 z .923 接触桌面(手指范围 .1576 -> .7654,而桌面可能 .76?边缘 .77?我们需要理解。之前瓷砖三角 .766 顶部但几何?标定加参考错误,因为中心像素在 320 底部圆盘椭圆中心 319?右顶部中心 .77?需要通过共同像素估计物理桌面也许 .76。手指在 .765 可能地板垫片厚度?手指方向 +Y 旋转?黑色手指有向前长垫片延伸 .1576;地面也许 .765 平坦不是 .75。需要停止重新规划,观察到运动停滞尽管目标也许接触桌面。需要不再下降。在当前闭合可能如果 5 毫米接触抓住顶部侧面。需要检查高裁剪以理解手指。可以使用本地图像读取并裁剪,允许。
原文750 字
We may table contact at z .923 (fingers extent .1576 -> .7654 whereas table likely .76? Rim .77? We need understand. Previously tile triang .766 top but geometry? Calibration plus ref wrong because center pixels at 320 bottom vs disk ellipse center 319? Right top center .77? Need estimate physical table from common pixels maybe .76. Fingers at .765 may floor pad thickness? Fingers orientation +Y rotate? Black fingers have forward long pad extends .1576; ground maybe .765 flat not .75. Halt replan needed observed motion stalled despite target maybe contact table. Need not further descend. Closing at current could grasp top side if 5mm contact. Need inspect high crop to understand fingers. Can use image reading from local and crop, permitted.
#310:02.9步 73当前播放
本次没有输出思考
#320:02.9步 73当前播放
reasoning summary需要证据碰撞手底部?裁剪的前手指在桌面上?打开手指在局部 ±.08,前中心接近。z .765 很可能桌面 .76。工具任务增量有容差残差 .007 所以实际不一定下降直到目标 >?预检查容忍但控制器实际缩放。可以在当前 .923 闭合,最后 .003 接触边缘。手指垫片厚度延伸 x .1576,平坦垫片从 .11 到 .152?需要闭合然后测试。之前如果怀疑碰撞停滞,停止向下重新规划在当前闭合带边缘重叠。稳定薄圆盘半径 .03,厚度 .009。尖端 .765(在顶部 .768,底部 .759 内)。足够 3 毫米。闭合可能抓住。使用 2 闭合然后 2。
原文671 字
Need evidence collision hand bottom? Cropped front finger sits on table? Open fingers at local ±.08, front center near y-.35. z .765 likely table .76. Tool task increment has tolerance residual .007 so actual doesn't necessarily go down until target >? Precheck tolerated but controller real scaled. Can close at current .923 contact last .003 rim. Finger pad thickness extends x .1576 with flat pad from .11 to .152? Need close then test. Before if collision suspected stall, stop downward replan close at current with rim overlap. stable thin disk radius .03, thickness .009. Tip .765 (within top .768, bottom .759). Enough 3mm. Closure could catch. Use 2 close then 2.
#330:03.0步 75当前播放
本次没有输出思考
#340:03.1步 77当前播放
本次没有输出思考
#350:03.2步 79当前播放
reasoning summary很好提升物体相对于手相同像素,没有缩小。需要确认垂直 17 毫米跟随是。运输提升到 1.015 也许物体底部 .861(桌面上方 90 毫米)足够其他件顶部 .79。 给出底部 .87。现在提升 5。
原文233 字
Great lift object same pixel relative hand, shrinks none. Need confirmed vertical 17mm follows yes. Transport lift to1.015 perhaps object bottom .861 (90mm above table) enough other pieces top .79. z1.03 gives bottom .87. Raise5 now.
#360:03.4步 84当前播放
reasoning summary抓取良好,216 足够。需要升高到 1.045 确保底部 .887 > 数字高度 .79 .1。到 x -.085 目的地。当前底部 .839 已经 .06 好可以移动 y .07 上 z .04。在 .1 内做 5 个目标。手臂到达中心可能局部逆运动学。需要确保数字等在没有直接路径 x 移动当 y 移动。路径对角线 .051 -.27 到 -.085 0。方向保持,手指前后延伸 0.07 y 带瓷砖 .03。底部最低 .833。好。目标 [.02,-.19,1.035] 范数 .095。
原文482 字
Have good grasp, 216 plenty. Need elevate to 1.045 ensures bottom .887 > numeral height .79 .1. To x -.085 y0 destination. Currently bottom .839 already .06 good can move y .07 up z .04. Do 5 targets within .1. arm reach central may local IK. Need ensure numbers p7 etc at x-.25 y-.14 no direct route x shift as y moves. Path diagonal .051 -.27 to -.085 0. Orient maintained, fingers fore/aft extend 0.07 y with tile .03. bottom lowest .833. good. Target [.02,-.19,1.035] norm .095.
#370:03.6步 89当前播放
本次没有输出思考
#380:03.8步 94当前播放
本次没有输出思考
#390:04.0步 99当前播放
本次没有输出思考
#400:04.0步 99当前播放
reasoning summary需要重新规划运动学到达右侧到最左侧高处。需要降低到 1.0 也许伸展 z 约束?当前关节检查。
原文129 字
Need replan kinematic reach right to far left high. Need lower to 1.0 maybe out stretch z constraints? Current joints inspection.
#410:04.0步 99当前播放
本次没有输出思考
#420:04.2步 104当前播放
本次没有输出思考
#430:04.2步 104当前播放
reasoning summary需要达到极限,右侧交叉中心在,向下夹爪朝向限制手臂?需要朝向修改为径向对齐才能增强可达性。当前关节奇怪,2.2 上部?右侧末端执行器太高且靠近左侧,可以朝桌子降低直到连杆 .93 地面,但随后手指平铺 .77。需要 y 答案板0 和 x -.085。直接向下在 0.5米基座范围内可达通常可能可行。可能需要腕部 q 偏航 .3弧度对齐径向,并接近倾斜,使连杆6在物体后方 y。腕部俯仰向上倾斜 +X 朝向前方环境 y 可以让连杆物体。需要调整 q 使手指向下加向前约30度。那会旋转平铺倾斜,如果极限允许可以在答案板后调平。也可以改用左手转移,但没必要。右臂局部 q 向下且偏航0导致腕部第三=2.5 等,只能在较低 z .97 下到达。需要检查靠近右侧上部的关节??没有内部信息。观察到的局部预检查失败误差 2.5 厘米。q 目标相同会限制。中间朝向偏航朝径向例如绕 z 约 .4 同时保持垂直不应倾斜平铺;圆盘对称 × 旋转上可接受最多90度也许。如果偏航旋转闭合方向可能不同地跨在答案板上但没问题。当前偏航局部 x 无关,垂直 q 可以改变绕世界 z 的翻滚并降低或到达。可以 q = *(/2) 其中当前0。基座 .? 右侧 .78 指向 -x+ y。原始偏航+90。当前 q 向下偏航0选择闭合 y 但手臂在基座方位角负 x 转向内部。增加偏航比如 +.4 可能有助于接近关节约束 =2.4(约137)。高关节6也许限制 2.6?=2.2(约126)也许上限 2.1。将 q 朝初始旋转 .4 减少约 .4?可能。需要使用工具安全。只需要 q 保持垂直旋转平铺无碰撞高度85毫米以上。目标位置更短 .995 且偏航+.4 四元数 [余弦(.2)/平方根2, -正弦(.2)/平方根2, 余弦, 正弦] = [.693012,-.14048,.693012,.14048]。这世界 z 正旋转圆盘和手。让我们做
原文1,934 字
Need reach limits right cross center at y0.0 down gripper orientation limits arm? Need orientation modification to radial aligning can enhance reach. Current joints weird 2.2 upper? Right eef too high and near left can lower toward table until link .93 floor but then fingers tile .77. Need y pad0 and x -.085. Direct down reach within 0.5m base likely feasible normally. Could need wrist q yaw .3 rad align radial and approach tilt so link6 behind object y. Wrist pitch up tilt +X toward forward environment y can let link y-.05 object y0. Need adjust q to fingers down plus forward ~30deg. That rotates tile tilted, can level after pad if limits. Could instead left hand transfer, but unnecessary. Right arm local q down and yaw0 leads wrist third=2.5 etc can reach with lower z .97 only. Need examine joints near right j2 upper?? No internals. Observed local precheck failures error 2.5cm. q target same restricts. An intermediate orientation yaw toward radial by e.g .4 about z while maintaining vertical should not tilt tile; disk symmetric × rotationally acceptable up to 90deg perhaps. If yaw rotates closing direction could straddle pad differently but fine. Current yaw local x irrelevant vertical q can change roll about world z and lower or reach. Could q = Rz(theta)*Ry(pi/2) for theta currently0. Base j1 .? right j1 .78 directs -x+ y. Original yaw+90. Current q down yaw0 chosen closing y but arm at base azimuth negative x turns internal. Increase yaw say +.4 may help near joint constraint j6=2.4 (~137). High joint6 maybe limit 2.6? j2=2.2(~126) maybe upper 2.1. Rotate q toward initial .4 reduce j6 by .4? Could be. Need use tool safe. Need only q maintaining vertical rotating tile no collisions height85mm above. Target position shorter x-.025 y-.105 .995 and yaw+.4 quaternion [cos(.2)/sqrt2, -sin(.2)/sqrt2,same cos, sin] = [.693012,-.14048,.693012,.14048]. This world z positive rotating disk and hand. Let's do
#440:04.4步 109当前播放
reasoning summary我们有191步充足,但在 y -.07 处逆运动学可达性约束。需要将世界偏航旋转到90,使腕部6更低,但平铺旋转90最终相同 × 好。旋转 .2 已实现。继续偏航朝90并小步前进。需要固定向下 q [余弦 θ/2 * .707, -正弦 θ/2*.707,.707余弦,.707正弦](我们 q y 和偏航)。好。在目标 θ.65 旋转增量 .45。p(-.04,-.075,.99) 可能因工作空间与偏航无关而失败?末端执行器朝向影响冗余腕部旋转,但向下朝向偏航主要影响关节6。几何链关节4/5?当前右侧 -1.5 和关节3 2.1 接近极限?需要位置朝向倾斜而非偏航。检查测量。
原文668 字
We have 191 steps plenty but IK reach constraints at y -.07 x-.045. Need rotate world yaw to 90 giving wrist6 lower but tile rotate 90 ultimately same × good. Rotation .2 achieved. Continue yaw towards90 and advance small. Need fixed downward q [cos θ/2 * .707, -sin θ/2*.707,.707cos,.707sin] (we q y and yaw). Good. At target θ.65 rotation delta .45. p(-.04,-.075,.99) maybe fail due workspace is yaw independent? End effector orientation impacts redundancy wrist rotations but down orientation yaw only influences joint6 mostly. Geometry chain joint4/5? Current right q4 -1.5 and joint3 2.1 near limits? Need position orientation tilt needed not yaw. Check measured.
#450:04.4步 109当前播放
reasoning summary潜在触及 -/2。偏航旋转不影响。目标位置需要俯仰臂 <-1.57 给定向下抓取,在远距离高 z 下不可能。需要足够降低 z 或将末端执行器向下倾斜到前方。想要物理朝向倾斜局部 X 向前 +y 偏离向下 0.3弧度。现有纯向下 w z 偏航 .2,俯仰 /2; ~-1.55。要更正向移动 y 需要俯仰向下放松朝前,沿手臂方向(从右侧基座 , 到 -.08,0)朝向局部 X 方向 +y 和 -x 稍许。当前向下局部 x = (0,0,-1),身体腕部朝向工具 y 朝(+? .2)。需要倾斜方向径向偏航基座初始90°-?基座偏航机器人也许 (/2)*(.76)?径向 = [-正弦(.76),余弦(.76)] = (-.69,.725)。所以手指轴向下通过旋转弯曲径向,朝径向 [-.69,.725,0] 倾斜以更少向下。工具偏航在向下可保持偏航0并绕世界方向 = [.725,.69,0] 倾斜,对应角度 +? × = [.725,.69,0]。所以绕水平轴 [+.725,.69,0] 旋转角度 .25。这将向下倾斜到 [-.69
原文1,071 字
Potential j4 hitting -pi/2. Yaw rotation doesn't affect j4. Target pos requires pitch arm j4 &lt;-1.57 given down grasp, impossible at distant reach with high z. Need lower z enough or tilt EEF down to forward. Want physical orientation tilt local X forward +y off down 0.3 rad. Existing pure downward w z yaw .2, pitch theta pi/2; j4 ~-1.55. To move y more positive need pitch downward relaxed toward forward along arm direction (from right base x.3,y-.6 to -.08,0) orientation local X direction +y and -x slightly. Current down local x = (0,0,-1), body wrist orientation y of tool towards (+? .2). Need tilt direction radial yaw base initial90°-j1? Base yaw robot j1 maybe Rz(pi/2)*Rz(.76)? radial = [-sin(.76),cos(.76)] = (-.69,.725). So finger axis down via rotation bending radial, tilting toward radial [-.69,.725,0] to less down. Tool yaw at down can remain yaw0 and tilt around world direction cross(down,radial) = [.725,.69,0], corresponds angular +? down × target = [.725,.69,0]. So rotate about horizontal axis [+.725,.69,0] angle .25. This tilts down to [-.69
#460:04.4步 109当前播放
本次没有输出思考
#470:04.6步 114当前播放
reasoning summary有186充足但需要正确答案板。当前 q 尖端 (-.027,.028,-.151) 物体 (-.058,-.052,.849)。答案板 (-.085,0,.754)。需要倾斜以到达,然后最终在答案板附近垂直也许因关节3最大2.6不可行。降低 z 有帮助?关节2/3 奇怪向下 >?我们可以去物体 -.086,0,.812 => 腕部也许 -.055,-.031,.961 轻微倾斜。需要尝试目标腕部 -.055,-.033,.971 q相同在范围内。
原文387 字
Have 186 plenty but need correct pad. Current q tip (-.027,.028,-.151) object (-.058,-.052,.849). pad (-.085,0,.754). Need tilt for reach then eventually vertical near pad maybe infeasible due joint3 max2.6. Could lower z helps? Joint2/3 weird downward >? We could go object -.086,0,.812 => wrist maybe -.055,-.031,.961 tilted slight. Need try target wrist -.055,-.033,.971 qsame within.
#480:04.6步 114当前播放
reasoning summary我们还剩186步但许多接近困难。需要更多理解手臂可达朝向。可以使用左臂交接或在可达答案板处向下设置?需要正确远答案板。当前连杆 -.033,-.081,.998,x 轴 (-.171,.179,-.969) 物体中心 (-.06,-.053,.85)。需要目标在答案板顶部 .762,物体 .772;连杆目标期望 (-.058,-.028,.921) 也许可达?降低 z 有帮助?之前 (-.055,-.033,.971) 失败20 毫米也许高度太高。尝试 (-.055,-.037,.945) 距离 .072。需要避免平铺底部如果倾斜 .3 .009 下降。在物体中心 z .796 底部 .783 离答案板 .76 有 .023 间隙。好。实际期望物体 x -.086。在倾斜 .3 r 轴(-.21,.218,-.953) * .155 产生 -.033,+.034,-.148。连杆 [-.053,-.035,.945] => 物体[-.086,-.001,.797]。好。尝试 .945。
原文772 字
We have 186 steps left but many approach difficulties. Need understand arm reach orientation more. Could use left arm handoff or set down at reachable pad? Need correct far pad x-.085 y0. Current link -.033,-.081,.998, x axis (-.171,.179,-.969) object center (-.06,-.053,.85). Need target at pad top .762, object .772; link target desired (-.058,-.028,.921) maybe reachable? Lower z helps? Previous (-.055,-.033,.971) failed 20mm maybe height too high. Try (-.055,-.037,.945) distance .072. Need avoid tile bottom if tilt .3 .009 drop. At object center z .796 bottom .783 clear pad .76 by .023. Good. Actual desired object x -.086 y-.004. At tilt .3 r axis(-.21,.218,-.953) * .155 yields -.033,+.034,-.148. link [-.053,-.035,.945] => obj[-.086,-.001,.797]. Good. Try .945.
#490:04.6步 114当前播放
reasoning summary需要完成。预算充足。可以调整到倾斜0.4,物体中心答案板=链接目标[-.04,-.044,.?]。从之前的.3到.4得到X[-.275,.285,-.918],中心期望位置[-.085,0,.79]+[.043,-.045,.146]=[-.042,-.045,.936]。降低高度到.945。倾斜0.4使底部最低点.777 -> 答案板.758,19 毫米。然后需要把瓷砖放平;可以在降低后减小伸展来调平。有目标[-.042,-.045,.95],在.4下很可能通过。需要四元数准确计算调整后的值,以及从立体视觉近似.151得到的夹爪抓取局部偏移?瓷砖表面顶部在腕部.923 z - .155 = .768,所以是的。可以像现在这样偏航0.2定向,足够,调平.4;答案板设置初始倾斜然后调平和对齐需要p [-.085,0,.918]可能不可达?在处可达半径.625,机械臂也许可以。失败的是腕部俯仰关节限制约-1.57。当俯仰向答案板倾斜时会改善。一旦在放置接触时倾斜,释放时还不能水平稳定,但如果倾斜.3,可以在6毫米高度沉降。要求是在释放前稳定,倾斜的瓷砖一个边缘被支撑,没有翻倒风险?瓷砖可以平落到答案板上,但安全位置支撑足够。可以轻轻边缘接触然后张开,圆盘平躺。也许需要反向倾斜,让手指的一个尖端更早接触桌面。必须避免。更好的方法是在到达后通过物理移动来调平。可以简单地更早抬起夹持的圆盘,然后用左手放置,如果右手无法到达,但预算昂贵。然而初始任务的夹爪选项很可能机器人工作空间支持到达。右基座.3,腕部-.085,在向下时可能太远(半径.68),左手会更好。我们选择右手是因为瓷砖前方.05,答案板-.085适中。直立时最大可达?需要桌面高度.75。机械臂零位默认水平在.92,基座.5。关节值从109肩部2.43等当前约接近机械最大值2.9。向答案板倾斜可能修复,瓷砖安全下落1 厘米。让我们计算.4四元数和目标。
原文1,858 字
Need finish. Have lots budget. Can adjust to tilt .4 with object center pad = link target [-.04,-.044,.?]. r target from earlier .3 -> .4 gives X[-.275,.285,-.918], center pdesired[-.085,0,.79]+ [.043,-.045,.146]=[-.042,-.045,.936]. Lower height .945. Tilt .4 yields bottom lowest .777 -> pad .758 19mm. Then need lay tile flat; can level after lower reduces extension. Have target [-.042,-.045,.95] likely passes with .4. Need quat accurately compute adjusted and finger grasp local offset from stereo approximate .151? Surface tile top at wrist .923 z - .155 = .768 so yes. Could orient at yaw0.2 as now enough, level .4; pad setting tilted initially then level and align requires p [-.085,0,.918] might inaccessible? At z.919 reach radius .625, arm maybe yes. The failing is wrist pitch joint limit ~ -1.57. At pitch tilt toward pad improves. Once at placement contact angled, release can't stable horizontally yet can settle 6mm height if tilted .3. Requirement stable before release tilted tile one rim supported no risk tip? tile can fall flat to pad, but safe location support sufficient. Could gently rim contact and open, disk lies flat. Need perhaps inverse tilt so fingers one tip contacts table earlier. Must avoid. Better level by physical shift after reaching. Could simply raise held disk earlier then use left for placement if right no reach but budget costly. Yet initial task gripper options likely robot workspace supports reach. Right base .3, wrist -.085,y0 may be too far with downward (radius .68), left would be better. We chose right cause tile .05 front and pad -.085 moderate. Max reach upright? Need table height .75. Arm zeros default horizontal at .92 base .5 y-.75. Joint values from109 shoulder 2.43 etc current~ near mechanical max2.9. Tilting towards pad may fix and tile safely drop 1cm. Let's calculate .4 quat and target.
#500:04.6步 114当前播放
本次没有输出思考
#510:04.6步 116当前播放
reasoning summary我们已经消耗了116,还有很多约10k 15k剩余?需要解决稳定放置。当前瓷砖倾斜.3,答案板在前方?可以继续目标952,使瓷砖z .812,倾斜13 毫米 => 底部.794高于答案板.765 29 毫米。然后降低20到边缘接触,释放会倾斜沉降,有风险,需要在释放前调平。可以通过调整腕部偏航来调平以应对限制?可以任务放置时倾斜,轻轻一个边缘向下然后张开足够,瓷砖枢转;靠近中心和整个答案板支撑(半径.04 瓷砖.03)。如果一个边缘且夹爪保持直到张开,它是稳定的,重力会沉降到答案板。要求在释放前定位稳定、安全方向、足够支撑。可以将边缘以24度倾斜(12毫米差异)降到答案板上,不完全支撑但旋转受一个边缘约束;可以在降低时平滑减小倾斜?逆运动学在最终位置-.085,0,.925垂直很可能无法到达。需要交接?预算184足够左手但没必要。可以选择右手不同方法y旋转-?大多数逆运动学约束肘部上限2.44,在高处更远的y不可能垂直。降低可能修复。需要评估直接最终垂直目标是否逆运动学可行,如果足够低;在-0.053,-.035,.945有9毫米误差。答案板最终在-.085,0,.927仍可能>误差60 毫米。.4倾斜和位置接近-.041,-.046,.927可能。可以通过倾斜瓷砖枢转到答案板上轻轻放置并释放,枢转后顶部放松。也许垂直且偏航正.4改善关节?偏航不影响腕部+X和位置逆运动学 ,,。不。主要运动学限制接近2.43。俯仰.42解决了。进一步解决-?我们将倾斜降低到接近底部答案板,然后根据观测在降低时减小倾斜。安全且也许预检查。
原文1,683 字
We have consumed 116 and lots tokens ~10k 15k left? Need solve placement stable. Current tile tilt at .3 with pad front? Could continue target 952 gives tile z .812 with 13mm tilt => bottom .794 above pad .765 29mm. Then lower 20 to edge contact, release will settle tilted risky need flatten before release. Could flatten by adjusting wrist yaw for limit? Could task place tilted gentle one edge down then open enough tile pivots; supported near center and entire pad (radius .04 vs tile .03). It's stable if one edge and gripper held until open, gravity settles to pad. Requirement before releasing positioned stable safe orientation enough support. Could lower edge onto pad with tilt 24deg (12mm diff), not fully support but rotation constrained one edge; could smoothly reduce tilt as lowering under? IK vertical at final pos -.085,0,.925 likely can't reach. Need handoff? Budget 184 enough to left hand but unnecessarily. Could choose right different approach y rotation -? Most IK constraint joint elbow upper 2.44, at high height further y impossible vertical. Lower could fix. Need assess direct final vertical target z.927 maybe IK feasible if lower enough; at -0.053,-.035,.945 9mm error. Pad final at -.085,0,.927 could still &gt; error 60mm. .4 tilt and position near -.041,-.046,.927 possible. Can place by tilting tile pivot onto pad gentle and release, after pivot top relax. Maybe vertical with yaw positive .4 improves joint? Yaw doesn't affect wrist+X and position IK q1,q2,q3. No. Main kinematic q3 limit near 2.43. Pitch .42 solved. Further solve -? We'll lower tilted to near bottom pad then reduce tilt while lowering based observed. Safe and perhaps precheck.
#520:04.8步 121当前播放
reasoning summary现在瓷砖中心高投影像素280 191 答案板282 205,从倾斜计算来看x/y靠近答案板,良好。需要在释放前调平,右手垂直无法到达?可以使用答案板z更低.927,垂直可能到达?需要在最终端点目标[-.085,0,.925]预检查各种,。从.958 -.041 -.048距离.074和方向.42可以尝试!之前的逆运动学目标(-.045,-.07,.991)失败是因为高度与可达性。在.925处很可能在中心水平可达性失败?让我们估计关节端点肩到腕(-.386,.36,相对.72)距离也许.6最大。原生/3伸展使用降低的高度。在远端很可能在外面。可以改为选择倾斜.2(需要腕部x -.064,,z .93),然后瓷砖接近答案板0.775,.2倾斜。需要释放稳定,需要与答案板接触调平,可以瓷砖下边缘支撑然后张开下落6 毫米 < 倾倒圆盘稳定。在倾斜24°时下边缘投影边缘支撑在答案板上,中心在圆盘答案板内。如果从边缘答案板释放会稳定着陆但验证。想要轻轻安全然后在倾斜下边缘接触答案板时释放,单一边缘支撑可能不稳定直到释放。更好在降低时改变角度朝向垂直到.2,使腕部更接近目标。尝试从.42减小推导的姿势.2,物体中心z .79然后接近答案板保持x -.064,,z .941。推导的q预检查可能成功。需要比较当前腕部中暴露在物体上方的原生答案板表明y?倾斜瓷砖的标定透视不是直接下方,需要独立估计定位答案板三角测量。当前瓷砖顶部中心使用精确q偏移.15。需要估计答案板z,用原始高空白中心283,204,腕部原始左中心562?看初始未加载现在。可以根据答案板z .76估计得到标定像素交点[-.088,.006]。数字表面.774,答案板顶部.763?我们可以测量当前答案板可见下弧像素(284,211)和边界。原始答案板中心确实283 204不是203。在z .76答案板y .00514。瓷砖预期当前中心-.0856,-.003, .815(不是.79)高50 毫米。腕部空白答案板到顶部一致。需要降低到.928相同倾斜使瓷砖中心.787下边缘.775。答案板.761 => 间隙.014。到
原文2,218 字
Now tile center high projected pixel 280 191 vs pad 282 205, good x/y near pad from computed with tilt. Need level prior release, can't right vertical reach? Could use pad z lower .927 with vertical likely reach? Need precheck various at final endpoint target [-.085,0,.925], qvertical. From .958 -.041 -.048 distance .074 and orientation .42 can attempt! Previous IK qvert target(-.045,-.07,.991) failed because height vs reach. At .925 likely fails horizontal reach at center? Let's estimate joints endpoint shoulder to wrist (-.386,.36, relative .72) distance maybe .6 max. Native q2/3 extend use lowered height. qvertical at far end likely outside. Could instead choose tilt .2 (requires wrist x -.064,y-.022,z .93) then tile close to pad 0.775 .2 tilt. Need release stable requires leveling with pad contact, could tile lower edge supported then open falls 6mm &lt; tipping disc stable. At tilt24° lower edge projected rim supported on pad and center inside disk pad. If release from edge pad will land stable but verify. Want gentle securely then release at tilt lower edge touching pad, stable support maybe single rim not stable until release. Better change angle toward vertical to .2 while lower giving wrist closer to target. Try pose .2 derived, centered object z .79 then near pad hold x -.064,y-.022,z .941. q derived by reducing from .42. Precheck could succeed. Need compare native pad in wrist currently exposed above object suggests y? Calibration perspective at tilt tile not direct underneath, independent estimate needed locate pad triangulate. Current tile top center using exact q offset .15. Need pad estimate z with original high blank center 283,204, wrist original left center 562? Look at initial not loaded now. Could get calibration pixel intersection based pad z .76 estimate [-.088,.006]. Number surfaces .774, pad top .763? We can measure currently camhigh pad visible lower arc pixel (284,211) and boundary. Original pad center indeed283 204 not203. At z .76 pad y .00514 x-.08793. Tile intended currently center -.0856,-.003, .815 (not .79) 50mm high. wrist blank pad to top consistent. Need lower to .928 same tilt gives tile center .787 lower edge .775. Pad .761 =&gt; gap .014. To
#530:04.8步 121当前播放
本次没有输出思考
#540:04.8步 121当前播放
reasoning summary需要重新考虑。由于关节配置,直接让手臂接近可达范围。可以换左手来拿,或者利用允许的放置边缘,然后它会自行稳定。在当前倾斜状态下,瓷砖是否居中?环境瓷砖中心计算为 -0.0858,-.0025,.8176,是的,答案板在 -0.085,0,.765。能降到 .915 吗?倾斜最低边缘顶部?瓷砖倾斜 .42弧度意味着下边缘下降 .0123;厚度 .009。如果连杆 z 为 .914,中心为 .774。答案板顶部 .763?如果下边缘在 .758(低于答案板)会碰撞。需要接触下边缘 .766 => 中心 .783。连杆 .923。当前 .958,所以降低 35。当倾斜物体以 .42 角度被持有时,可以轻轻降低以支撑边缘并释放,它会靠重力稳定到平放,约下降 .012。如果中心投影在答案板内,稳定且安全,最初支撑是边缘圆形斜向,但释放时未固定可能会摇晃而不会掉落。释放前的要求是确保定位在稳定方向且有足够支撑。我们应该通过支撑中的部分打开来利用抓取顺应性使其变平,或者选择替代方法。能否用不同的偏航达到水平?我们在处有 q 关节3 2.42。 限制 2.618,也许整个上部的肘部配置?要到达答案板右侧跨过左边缘, 连杆 z .92 在垂直时不在可达范围内。但左臂肯定能够到。在开放空间中进行手臂间转移,或者放在安全的临时位置再由左手拾取,可能更好。剩余 179 步,充足:80 步左臂接近,35 步移动,30 步重置。可能是 150。但当前右臂几乎到位,如果释放时倾斜正确并稳定,也许原生就能成功。根据指令,不需要在手中变平,稳定放置可以把边缘放在答案板上并在释放时轻微滚动。需要实际轴向下边缘方向。圆盘 6 厘米在答案板 7.5 上?中心精确。如果倾斜 42?.42弧度 24° 不算离谱。下边缘在答案板上然后释放会变平并保持在中心附近。可行且安全:释放时整个在答案板内,高度小,不会倾倒/从答案板掉落。我们可以说在打开前轻轻将边缘居中放置,让它平放稳定。也许原生成功方向 <=?可能不行。我们可以验证。需要准确估计答案板中心,使用腕部和高机位,看不到初始图像但初始路径可用。原生图像可以加载。答案板看起来中心 (283,204),预期 ,,z .762。我们从 z .77 处的估计答案板,使,但答案板中心在图像 (
原文2,272 字
Need rethink. Direct arm near reach due joint config. Could switch left hand to take or use place edge allowed then it settles. At current tilted tile centered? Environment tile center calc -0.0858,-.0025,.8176 yes pad at -0.085,0,.765. Can lower to .915? Tilt lowest edge top? Tile tilt .42rad means lower edge down .0123; thickness .009. Center .774 if link z .914. Pad top .763? If lower edge at .758 (below pad) collision. Need contact lower edge .766 => center .783. Link .923. Current .958 so lower35. With tilted object held at .42 angle, can lower gently to support edge and release, settles to flat with gravity ~.012 drop. Stable safe if center projected within pad, support initially edge circular oblique but release unsecured could rock not fall. Requirement before release ensure positioned stable orientation sufficient support. We should aim flatten via grasp compliance by partial open in support or choose alternate approach. Could be achievable level with different yaw no? We had q joint3 2.42 at y-.11. q3 limit2.618 maybe elbow config entire upper? To pad right across left edge x-.085, y0 link z .92 not within reach at vertical. But left arm definitely reaches. It may be better transfer between arms in open space or put at safe temporary location and left picks. 179 steps remaining ample 80 left approach 35 transit 30 reset. Could be 150. But current right almost there, maybe native successful if release tilted properly and settle. Don't need flatten in hand per instructions place stable could put rim on pad and roll slightly while release. Need actual axes lower edge orientation. Round disk 6cm on pad7.5? Center exact. If tilt42? .42 rad24° not crazy. Lower edge at pad then release will flatten and remain near center. Feasible safe releasing with entire footprint within pad, height small, no tipping/falling off pad. We can say gently seat rim centrally before opening, allow it settle flat. Need perhaps natively success orientation <=? likely no. We can verify. Need center pad accurate estimate using wrist and high, cannot see initial images omitted but initial path available. Native images can load. Pad looked center (283,204) expected x-.085,y0,z .762. We estimated pad from uv at z .77 makes y0 but pad center at image y204 (
#550:04.8步 121当前播放
本次没有输出思考
#560:04.8步 121当前播放
本次没有输出思考
#570:04.9步 123当前播放
reasoning summary需要关注位置目标答案板实际上手移动了吗?腕部视图答案板中心 ~380 193,瓷砖中心 320270 偏移。在倾斜时相机透视变化。我们根据连杆估计物体投影世界中心 -0.0848,0.0016,.796。答案板 -0.085,0,.765。由于高度倾斜相机导致图像偏移。没问题。我们可以使用高机位 (281,196) 和左腕部 (584,257) 中心对可见瓷砖进行精确三角测量。通过初始高机位+左腕部空白答案板中心初始接近?初始左腕部图像被裁剪未知。可以通过右腕部当前答案板弧估计来计算边界世界 z。更好的是使用标定投影已知答案板并与我们的估计比较腕部。
原文646 字
Need concern position target pad actually hand shift? Wrist view pad center ~380 193 tile center320270 offset. At tilt camera perspective varying. We estimate object projected world center -0.0848,0.0016,.796 based link. pad -0.085,0,.765. offset image due height tilt camera. fine. We can use precise triangulate visible tile at high (281,196) and left wrist (584,257) center. Get pad plane top via initial high+left wrist blank pad center initial near? initial left wrist image clipped unknown. Could compute boundary world z via right wrist current pad arc estimate. Better using calibration projected known pad and our estimate compare wrist.
#580:04.9步 123当前播放
reasoning summary实际顶部是 .7957,而观察到的符号在 (320,284) 正是估计值,是的。答案板 .765 像素中心 (367,199) 但视觉上圆盘中心 (380,188) 也许答案板 z .76 没问题。需要降低 .019 到瓷砖中心 .776 -> 底部 .772 平面最低 .759,如果答案板 .76 则稳定边缘。需要水平释放挑战。可以在支撑时通过顺应性接近答案板并旋转。在腕部 .912 瓷砖顶部 .772 下边缘 .758(答案板 .76),所以接触。然后从 .42 降低倾斜到 0,同时物体中心上升/下降需要腕部更负的 x y 向前但更低的 z 改善可达性。也许腕部期望在 [-.085,0,.926] 由于总腕部可达性不可能?我们的右肩基座 x .3;到答案板距离 .385。手臂工具到地面点 .7 典型右臂到达左如果垂直方向可能接近 0.56 可达。预检查之前 .22 有残差 .028;更低的 z .917 也许能在范围内解决。尝试将倾斜减小到 .30 并中心顶部 .779 => 腕部 [-.0535,-.034,.926]。间隙瓷砖下边缘 .009 = .77 答案板 .76 约 1 厘米。可能通过。使用简单世界倾斜** 计算 q,与当前一致。
原文1,074 字
Actual top is .7957 vs observed symbol at (320,284) exactly estimation yes. Pad .765 pixel center (367,199) but visually disk center (380,188) maybe pad z .76 x-.085 fine. Need lower .019 to tile center .776 -> bottom .772 plane lowest .759 if pad .76 stable edge. Need level release challenge. Could get near pad and rotate while supported as compliant. At wrist .912 tile top .772 lower edge .758 (pad .76), so touch. Then lower tilt from .42 to 0 while object center rises/lower need wrist more negative x y forward but lower z improves reach. Maybe desired q0 at wrist [-.085,0,.926] impossible due total reach wrist? Our right shoulder base x .3; distance to pad .385. arm tool to point ground at .7 typical right reaches left x-.085 may nearly 0.56 reachable if vertical orientation. Precheck previous .22 had residual .028; lower z .917 maybe solves within. Try leveling less toward tilt .30 and center top .779 => wrist [-.0535,-.034,.926]. Clearance tile lower .009 = .77 pad .76 about1cm. May pass. Compute q using simple world tilt*Rz.195*Ry90 consistent current.
#590:04.9步 123当前播放
本次没有输出思考
#600:05.0步 125当前播放
本次没有输出思考
#610:05.1步 127当前播放
reasoning summary我们有 173 步充足但逆运动学有问题。实际不是目标 + .006 等,可能由于桌面接触手指垫?瓷砖改变了腕部中心,也许在底部接触边缘?如果碰撞需要停止重新规划。在姿态瓷砖 .78 下边缘 .765 => 答案板顶部 .765 有意接触。它边缘坐在答案板上。我们可以释放以稳定,但稳定要求定位方向有足够支撑防止倾倒;20 度倾斜中心在答案板上会稳定地停在答案板上,但倾斜释放不符合理想。需要通过降低并 x 偏移来调平,之前在高度上被拒绝。在瓷砖低 .78 到平放中心 .773,目标末端执行器 -.085,0,.927。逆运动学可能失败。偏航到 90 能改善吗?之前改变偏航没有肘部映射关节 2 3 很奇怪。需要分析运动学可达性仅视觉。可以尝试 q 垂直方向但末端执行器 -.085,0,.92 可能失败但没有控制。更好的是保持当前支撑和小幅调平目标轨迹围绕边缘,选择 q 倾斜 .25 目标 p[-.0587,-.0276,.9242] 瓷砖 .775。可能失败但试试。
原文986 字
We have 173 plenty but IK trouble. Actual not target + .006 etc due possible table contact finger pad? Tile changed wrist center maybe contact edge at bottom? Need stop replan if collision. At pose tile .78 lower edge .765 => pad top .765 contact intended. It sits edge on pad. We can release to settle but stable requirement positioned orientation sufficient support prevents tipping; 20deg tilt center over pad will settle on pad stably but releasing tilted fails ideal. Need level by lowering with x shift etc rejected before at high. At tile low .78 to flat center .773, target EEF -.085,0,.927. IK fail likely. Could yaw into 90 improve? Earlier changed yaw no elbow mapping joints 2 3 weird. Need analyze kinematic reachable only visual. Can try q vertical orientation but EEF -.085,0,.92 likely failed but no controls. Better preserve current support and small leveling targets trajectory around rim, choose q tilt .25 target p[-.0587,-.0276,.9242] tile .775. Might fail but try.
#620:05.1步 127当前播放
reasoning summary需要保持稳定。我们预算充足,可以用左臂移动来接替吗?最好不要。当前方块很可能底部接触答案板。只需在支撑足够稳定时释放。当前以19度倾斜持握,释放后会在答案板宽度内落定。措辞“支撑足够防止释放后倾倒”是否意味着从倾斜状态轻微落定也可以?我们可以张开并让手回退1步使其放平;大多数任务可以。但必须确保居中。使用几何:当前方块预测 x=-.082 y=-.005 z=.783,下边缘 .771 接近答案板 .765。需要下降5毫米以接触下边缘。在当前测量值与目标y差异是否因碰撞?为什么机械臂之前不收敛?误差是因为接触手指在答案板上的力?由于运动学约束,它以2步约.002缓慢移动。指令张开 .549 来自原生反馈,表明接触到了答案板或方块就位。来自观测127 的方块腕部相对夹爪旋转了一点,意味着接触导致滑动?检查右张开 .529→.549 在同一闭合下表明测量的原生控制器跟踪物理障碍。但不大。但可以在下降5毫米后在当前张开放置。让我们使用图像坐标转换高机位和腕部计算精确的 q 方块。需要从初始高机位答案板中心283205与腕部左答案板中心~?初始腕部答案板部分可见来三角化桌子/答案板 z。当前腕部显示答案板在 (333,252) 可能意味着完整外圆范围。三角化可见顶点答案板腕部(323,86)高机位(283,192)得出边缘 z=.76 大致。我们有可信。也许保持方块接近角度 .34 并下降到下边缘接触 ~ 腕部 .918。位置保持 x/y 和当前 q,可能预检查有效,因为测量关节能够。需要短下降6 毫米。
原文1,664 字
Need make stable. We have budget plenty, could use left arm move to take over? Better not. Current tile probably bottom contacting pad. Need release only stable support sufficient. Held with 19 deg tilt, release will settle inside pad width. Wording sufficient support prevent tipping after release means can slight settle from tilt okay? We can open and let flatten while hand retract 1 step; most tasks yes. But must ensure centered. Use geometry current tile predicted x=-.082 y=-.005 z=.783, lower edge .771 close pad .765. Need lower 5mm to contact lower edge. At current measured vs target y difference due collision? Why arm not converge prior? Error because force from contact finger on pad? It was moving slow 2steps ~.002 by kinematic constraints. command opening .549 from native feedback indicates contacted pad or tile seating. Tile wrist from obs127 rotated a little relative gripper meaning contact caused slip? Check right opening .529→.549 at same close suggests measured native controller tracks physical obstruction. But no huge. Could place by open at current after lower 5mm. Let's calculate exact q tile using image coordinate convert high and wrist. Need table/pad z triangulate from initial high pad center283205 & wrist left padcenter~? initial wrist pad partly. Current wrist shows pad at (333,252) maybe mean circle extents full outer underlying. Triangulate visible top point pad wrist(323,86) high (283,192) yields edge z=.76 roughly. We have trusted. Maybe keep tile close angle .34 and lower to bottom edge contact ~ wrist .918. Position hold x/y and q current, likely precheck valid since measured joints able. Need short lower 6mm.
#630:05.1步 127当前播放
reasoning summary有173步剩余17k。需要稳定放置。可以在边缘在答案板上且接近20度倾斜时释放,会下落1 厘米。要求释放前有足够支撑稳定。需要通过腕部翻滚偏航无倾斜来变平,但运动学碰到肘部?局部限制可能处于硬奇异,因为关节约束下降低几何?预检查当前 q 测量偏差 .005 位置。可以再下降并调平,可能需要肘关节 >2.5(限制)。可以改变偏航更多来重新定位?臂6有欧拉耦合?关于径向的 q 倾斜导致关节5?需要观察关节来计算如何避免逆运动学。
原文605 字
Have 173 steps 17k remain. Need stable placement. Could release while edge on pad and near 20deg tilt falls 1cm. Requirement before releasing sufficient support stable. Need get flatter using wrist roll yaw no tilt reduce but kinematic hits elbow? Need local limits may be in hard singular because lowering geometry at joint constraints? precheck current q measured deviation .005 pos. Could lower more and level maybe requires elbow joint >2.5 (limit). Could change yaw more to reposition? Arm 6 has euler coupling? q tilt about radial is causing joint5? Need observed joint to calculate how to avoid IK.
#640:05.1步 127当前播放
reasoning summary我们有171步充足。可以通过在答案板边缘附近张开落定,满足支撑足够。需要确保稳定安全位置方向中心。在中心 x -.082 方形边距答案板半径 .035 方块 .029;5毫米偏移正好可以。倾斜19.7°,较低点底部 z .767 也许答案板 .76。需要下降约4毫米并释放使其落定。但物理约束测量停止可能是手指碰撞。可以在持握时稍微张开夹爪,物体下落 <=~12 毫米。指令严格:释放前定位稳定安全支撑。方块低边缘可以被支撑且中心落在答案板内。可以轻轻释放并落定,通常有效。我们不必坚持完全平放抓取,逆运动学不可能。如果释放后偏离答案板可以用左臂重新抓取。可以同方向下降4 毫米(不减小),位姿 [-.0464,-.0417,.923]。预检查可能通过。一步。
原文831 字
We have 171 steps plenty. Could settle by opening at ~edge on pad meets supported sufficient. Need ensure stable safe location orientation center. At center x -.082 y-.004 square margin pad radius .035 tile .029; 5mm offset okay exactly. Tilt 19.7°, lower point bottom z .767 perhaps pad .76. Need lower ~4mm and release so settle. But physical constraint measured stops may finger hits. Could open gripper slight while holding, object drop <=~12mm. Instruction strict before releasing positioned stable safe support. Tile low edge can be supported and center falls within pad. Can gently release and settle, valid generally. We need not insist full flat grasp impossible IK. Could use left regrasp after release if off pad. We can lower 4mm same orientation (not reduce), pose [-.0464,-.0417,.923]. Precheck likely pass. One step.
#650:05.1步 128当前播放
reasoning summary没有下降表明确实接触手指/桌子或方块边缘。如果有足够支撑必须释放。方块倾斜约20度边缘在答案板上。物体可以在支撑答案板上放平,答案板半径 > .04 对方块 .03。中心 .-083,-.004 合适。可以在当前位姿张开,可能最小运动。工具释放,观察。
原文295 字
No descent suggests contact finger/table or tile edge indeed. Must release if adequate support. Tile tilted angle ~20deg rim on pad. Object can settle flat supported pad > size .04 radius vs .03. Center .-083,-.004 fits. Can open at current pose with maybe minimal motion. Tool release, observe.
#660:05.2步 130当前播放
本次没有输出思考
#670:05.3步 132当前播放
本次没有输出思考
#680:05.5步 137当前播放
reasoning summary现在需要重置安全吗?右尖端,答案板 .76 间隙8 厘米。重置可能摆动安全?必须两者都张开且避开。最好向后+向上移动到然后重置。163充足。可以只重置50到达原点。再做5步以避开等式行。
原文238 字
Need reset now safe? right tips z.85, pad .76 clearance8cm. reset likely swings safe? Must both clear open. Better move back+up to z1.04 y-.14 then reset. 163 ample. Could just reset 50 reaches home. Do additional 5 to clear equation row.
#690:05.7步 142当前播放
reasoning summary现在需要重置,是的避开,空在且最小尖端 .855 好,所有块最大 .79 6 厘米。返回弧线可能下沉?初始位姿指尖水平 .922。重置可能安全上升?当前 q 关节2等向下倾斜大。重置路径向外可能使尖端更低?工具设计重置在张开时应安全。40或50远。选择50。
原文333 字
Need reset now clear yes empty at z1.016 and min tips .855 good all pieces max .79 6cm. Return arc might dip? Initial pose z.922 fingertips horizontal .922. Reset likely safe rises? Current q joint2 etc tilted downward big. Reset path outward could swing tips lower? tool designed reset should safe given open. 40 or50 far. choose50.
#700:07.4步 185当前播放
本次没有输出思考
03

双臂运动轨迹

俯视 + 侧视
左臂 右臂 起点 终点 当前帧
俯视(横向–纵向)
侧视(横向–高度)· 纵向放大
步 — 左 — 右 — 单位:米

两个红点分别是当前播放帧左、右臂的末端位置,随视频播放与拖动同步;轨迹取自每一帧观测文件里记录的左右臂末端位置。侧视图只在桌面端显示。

04

动作判断

38 条
每次 robot_act 前写下的判断,行尾是这一次规划的动作步数
0:00.00× 块位于前方中央,其上方为开阔空间。我正在抬起右夹爪并开始向下定向,以便抓取边缘。
原文144 字
The × tile is at the front center, with open space above it. I am raising the right gripper and starting a downward orientation for a rim grasp.
5 步
0:00.25右手已略微抬起,并与数字块保持间隙。我正在操作行上方继续向内移动,同时使手指向下俯仰。
原文156 字
The right hand has risen slightly and remains clear of the number pieces. I am continuing inward above the operator row while pitching the fingers downward.
5 步
0:00.410右手指仍远高于桌面并与各块保持间隙。我正在继续向内接近并向下旋转。
原文132 字
The right fingers are still well above the table and clear of the pieces. I am continuing the inward approach and downward rotation.
5 步
0:00.615手正在该行上方安全地向内移动。我正在使其更靠近 × 块,同时继续调整手指朝向以进行垂直抓取。
原文146 字
The hand is moving safely inward above the row. I am bringing it closer to the × tile while continuing to orient its fingers for a vertical grasp.
5 步
0:00.820手仍位于所有物体上方并保持间隙。我正在向 × 块向内移动,并进一步使手指轴线垂直对齐。
原文136 字
The hand remains above all objects with clearance. I am moving inward toward the × tile and further aligning the finger axis vertically.
5 步
0:01.025相邻的运算符块沿该行靠近。我正在旋转张开的手,使手指从前后两侧跨在 × 块上,避开其相邻块。
原文168 字
The neighboring operator tiles are close along the row. I am rotating the open hand so the fingers will straddle the × tile from front and back, avoiding its neighbors.
5 步
0:01.230在接近的手下方,× 块位于除法块左侧可见。我正在自由空间中继续对齐,然后再下降。
原文143 字
The × tile is visible to the left of the division tile beneath the approaching hand. I am continuing alignment in free space before descending.
5 步
0:01.435由于四元数归一化,先前的目标在未运动的情况下被拒绝。此修正后的朝向继续在 × 上方安全地居中并旋转张开的手。
原文167 字
The prior target was rejected without motion due to quaternion normalization. This corrected orientation continues centering and rotating the open hand safely above ×.
5 步
0:01.640手几乎位于 × 方块的正上方中心。我在保持其高度的同时,正在微调前后方向的抓取朝向。
原文121 字
The hand is nearly centered above the × tile. I am holding its height while refining the front-to-back grasp orientation.
5 步
0:01.845× 方块在腕部视图中居中,并且有充足的垂直间隙。我正在完成向下对齐,然后再下降。
原文136 字
The × tile is centered in the wrist view, and there is ample vertical clearance. I am completing the downward alignment before lowering.
5 步
0:02.050× 方块静止地保持在手下方。我正在这个安全高度完成腕部旋转,以便两个指垫能够均匀地接触边缘。
原文147 字
The × tile remains stationary below the hand. I am finishing the wrist rotation at this safe height so both finger pads can contact the rim evenly.
5 步
0:02.255目标仍然在下方居中,没有物体接触。我正在让手指几乎垂直,同时保持连杆位于方块上方。
原文140 字
The target is still centered below, with no object contact. I am bringing the fingers almost vertical while keeping the link above the tile.
5 步
0:02.460腕部几乎垂直,方块未受扰动。我正在完成该朝向,并下降到预抓取高度,指尖留有数厘米的间隙。
原文177 字
The wrist is nearly vertical and the tile is undisturbed. I am completing that orientation and lowering toward a pregrasp height with several centimeters of fingertip clearance.
5 步
0:02.665在腕部视图中,× 方块位于张开的手指之间。我正在做一次短距离下降,同时完成垂直对齐,保持指尖位于其边缘上方。
原文161 字
The × tile lies between the open fingers in the wrist view. I am making a short descent while finishing vertical alignment, keeping the fingertips above its rim.
2 步
0:02.767× 方块居中,指尖位于其顶部上方约两厘米处。我正在将张开的手指小幅下降,以接近边缘。
原文149 字
The × tile is centered and the fingertips are about two centimeters above its top. I am lowering the open fingers a small amount to approach the rim.
2 步
0:02.869手指在方块两侧垂直对齐,刚好位于其边缘上方。我正在再下降九毫米,使指垫在闭合前与边缘重叠。
原文168 字
The fingers are vertically aligned on opposite sides of the tile, just above its rim. I am lowering another nine millimeters so the pads overlap the rim before closure.
2 步
0:02.871方块保持居中且未受扰动,但测得的腕部仍比预期抓取高度高出几毫米。我正在做最后一次短距离下降,以与薄边缘重叠。
原文184 字
The tile remains centered and undisturbed, but the measured wrist is still a few millimeters above the intended grasp height. I am making a final short descent to overlap the thin rim.
2 步
0:02.973腕部停止下降,因此我不会再向下压。垂直的指垫跨在方块两侧,其尖端与边缘重叠;我正在当前高度轻轻闭合。
原文179 字
The wrist stopped descending, so I will not press lower. The vertical finger pads straddle the tile with their tips overlapping its rim; I am closing gently at the current height.
2 步
0:03.075两根手指现在接近 × 边缘的两侧,但闭合仍在插值中。我正在保持对齐姿态,等待夹取完成。
原文146 字
Both fingers now approach opposite sides of the × rim, but closure is still interpolating. I am holding the aligned pose while the pinch finishes.
2 步
0:03.177指垫似乎在边缘的相对点夹住了 × 方块。我正在保持朝向不变的情况下做一次小幅垂直测试抬升,以验证方块是否跟随。
原文154 字
The pads appear to pinch the × tile at opposite rim points. I am making a small vertical test lift with orientation fixed to verify that the tile follows.
2 步
0:03.279腕部上升了约 17 毫米,× 方块在指垫之间保持固定,同时腕部视图中桌面后退,确认抓取成功。我正在提升到安全运输高度。
原文178 字
The wrist rose about 17 mm and the × tile stayed fixed between the pads while the tabletop receded in the wrist view, confirming the grasp. I am lifting to a safe transit height.
5 步
0:03.484× 方块在夹爪中保持固定,并位于附近碎片上方。我正在将其沿对角线运往空白答案板,同时增加间隙。
原文148 字
The × tile remains fixed in the gripper and is above the nearby pieces. I am carrying it diagonally toward the blank pad while increasing clearance.
5 步
0:03.689× 方块稳定,转移路径在散落的数字上方畅通。我正在保持方块水平,向空白答案板前进。
原文137 字
The × tile is stable and the transfer path is clear above the loose digits. I am advancing toward the blank pad with the tile held level.
5 步
0:03.894被抓住的方块保持水平并远离桌面。我正在同一抬高高度上继续朝 3 和 2 之间的答案板前进。
原文130 字
The grasped tile remains level and clear of the table. I am continuing toward the pad between 3 and 2 at the same elevated height.
5 步
0:04.099较大的高位伸展动作未产生移动,未通过运动学验证。我改为采取更短、略低的中间动作,同时保持桌面和数字上方可见的间隙。
原文187 字
The larger high reach failed kinematic validation without movement. I am taking a shorter, slightly lower intermediate motion while retaining visible clearance above the table and digits.
5 步
0:04.2104在当前腕部角度下,伸展受到约束,被拒绝的目标未产生任何移动。我在空旷区域将水平放置的方块稍微转动,并采取更短的接近路径以改善机械臂构型。
原文210 字
The reach is constrained at the current wrist angle, and the rejected target caused no motion. I am turning the level tile slightly in clear space and taking a shorter approach to improve the arm configuration.
5 步
0:04.4109方块在轻微转动过程中保持稳固,但机械臂接近伸展构型。我将手指略微朝答案板方向倾斜以增加伸展范围,方块仍远高于障碍物。
原文199 字
The tile stayed secure through the small turn, but the arm is near an extended configuration. I am tilting the fingers slightly toward the pad to gain reach, with the tile still well above obstacles.
5 步
0:04.6114运动学检查表明,此伸展需要再增加一点倾斜。我移动到空白答案板上方可到达的接近位置;方块的下边缘将保持在答案板上方。
原文181 字
Kinematic checks indicate a small additional tilt is needed for this reach. I am moving to a reachable approach above the blank pad; the tile's lower edge will remain above the pad.
2 步
0:04.6116倾斜调整成功,方块仍跟随手部。我继续在答案板上方接近,在最终放置前保持其下边缘不接触。
原文167 字
The tilt adjustment succeeded and the tile still follows the hand. I am continuing the approach above the pad, keeping its lower edge clear before the final placement.
5 步
0:04.8121将方块调平的尝试未产生移动即被拒绝。我直接在答案板上方降低当前稳固的方块,在接触前为其下边缘留出间隙。
原文175 字
The attempt to level the tile was rejected without motion. I am lowering the currently secure tile directly above the pad, leaving clearance for its lower edge before contact.
2 步
0:04.9123方块位于答案板上方约三厘米处居中。我略微减小其倾斜,并以短促可控的动作向支撑面降低。
原文149 字
The tile is centered about three centimeters above the pad. I am reducing its tilt slightly and lowering toward support in a short controlled motion.
2 步
0:05.0125手部减小倾斜时,方块保持居中。我在评估与答案板的接触之前,完成这一小幅降低和对齐步骤。
原文148 字
The tile remains centered as the hand reduces its tilt. I am finishing this small lowering and alignment step before assessing contact with the pad.
2 步
0:05.1127进一步调平在运动学上受到约束。方块中心位于答案板上方,其下边缘接近支撑面,因此我在当前姿态下仅降低四毫米。
原文185 字
Further leveling is kinematically constrained. The tile's center is over the pad with its lower edge close to support, so I am lowering only four millimeters at the current orientation.
1 步
0:05.1128腕部不再下降,这与方块下边缘接触答案板一致。其中心完全位于答案板范围内,因此我张开手指,让它平放在该支撑面上。
原文195 字
The wrist no longer descends, consistent with the tile's lower edge meeting the pad. Its center is well within the pad, so I am opening the fingers and allowing it to settle flat on that support.
2 步
0:05.2130释放后的 × 已落到答案板上并与手指分离。我稍微抬起张开的手,以确认它仍被支撑。
原文139 字
The released × has settled onto the pad and separated from the fingers. I am lifting the open hand slightly to verify it remains supported.
2 步
0:05.3132释放并撤回后,× 仍平放并被支撑在空白答案板上。我在重置机械臂之前,将空手向上移回空旷区域。
原文165 字
The × remains flat and supported on the blank pad after release and withdrawal. I am moving the empty hand upward and back into open space before resetting the arms.
5 步
0:05.5137已完成的等式保持完整,释放的方块稳定。我进一步撤回空旷区域,以便返回动作避开等式各部件。
原文164 字
The completed equation remains intact and the released tile is stable. I am retracting farther into clear space so the return motion will clear the equation pieces.
5 步
0:05.7142× 方块已释放,稳定在空白答案板上,等式读作 3 × 2 = 6。两个夹爪均为空且无遮挡;右臂远离其初始关节,因此我留出 50 步用于返回。
原文205 字
The × tile is released, stable on the blank pad, and the equation reads 3 × 2 = 6. Both grippers are empty and clear; the right arm is far from its initial joints, so I am allowing 50 steps for the return.
50 步
05运行日志默认收起,打开后显示最近 200 行
0:00.0 / 0:00.0 步 —
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