Base Geometry Stack V4 Floating

5 complex sparse stacks. Units still follow the source image base geometry, but each scene now includes nonphysical floating solids, wider irregular footprints, gaps, four-level ground columns, and rule-based seeds for suspended-unit counting.
base_stack_v4_cube screenshot
base_stack_v4_cube source=mc_1750 · unit=cube · total=28 · max vertical=4 · floating=5
viewer spec
taskquestionanswer
GE3D_BASE_STACK_TOTAL_COUNTHow many cubes are in the stack?28
GE3D_BASE_STACK_MAX_HEIGHTWhat is the maximum number of base solids in one vertical position?4
GE3D_BASE_STACK_TOP_COLUMN_COUNTHow many vertical positions reach the highest occupied layer?2
GE3D_BASE_STACK_HIGHEST_LAYERWhat is the highest occupied layer number if the ground layer is layer 1?5
GE3D_BASE_STACK_OCCUPIED_POSITIONSHow many ground positions are occupied by at least one base solid?13
GE3D_BASE_STACK_MARKED_COLUMN_HEIGHTHow many base solids are in the marked vertical position P?4
GE3D_BASE_STACK_TALL_COLUMN_COUNTHow many occupied vertical positions contain at least two base solids?7
GE3D_BASE_STACK_EMPTY_POSITIONSHow many ground positions are empty?7
GE3D_BASE_STACK_ABOVE_GROUND_COUNTHow many base solids are above the first layer?15
GE3D_BASE_STACK_THIRD_LEVEL_COLUMN_COUNTHow many vertical positions have a solid on the third layer or higher?7
GE3D_BASE_STACK_FLOATING_COUNTHow many base solids are floating above a gap or empty cell?5
GE3D_BASE_STACK_FLOATING_POSITION_COUNTHow many grid positions contain at least one floating solid?5
GE3D_BASE_STACK_HIGHEST_FLOATING_LAYERWhat is the highest layer number occupied by a floating solid?5
base_stack_v4_cuboid screenshot
base_stack_v4_cuboid source=mc_1753 · unit=cuboid · total=29 · max vertical=4 · floating=5
viewer spec
taskquestionanswer
GE3D_BASE_STACK_TOTAL_COUNTHow many cuboids are in the stack?29
GE3D_BASE_STACK_MAX_HEIGHTWhat is the maximum number of base solids in one vertical position?4
GE3D_BASE_STACK_TOP_COLUMN_COUNTHow many vertical positions reach the highest occupied layer?2
GE3D_BASE_STACK_HIGHEST_LAYERWhat is the highest occupied layer number if the ground layer is layer 1?5
GE3D_BASE_STACK_OCCUPIED_POSITIONSHow many ground positions are occupied by at least one base solid?13
GE3D_BASE_STACK_MARKED_COLUMN_HEIGHTHow many base solids are in the marked vertical position P?4
GE3D_BASE_STACK_TALL_COLUMN_COUNTHow many occupied vertical positions contain at least two base solids?9
GE3D_BASE_STACK_EMPTY_POSITIONSHow many ground positions are empty?7
GE3D_BASE_STACK_ABOVE_GROUND_COUNTHow many base solids are above the first layer?16
GE3D_BASE_STACK_THIRD_LEVEL_COLUMN_COUNTHow many vertical positions have a solid on the third layer or higher?6
GE3D_BASE_STACK_FLOATING_COUNTHow many base solids are floating above a gap or empty cell?5
GE3D_BASE_STACK_FLOATING_POSITION_COUNTHow many grid positions contain at least one floating solid?4
GE3D_BASE_STACK_HIGHEST_FLOATING_LAYERWhat is the highest layer number occupied by a floating solid?5
base_stack_v4_cylinder screenshot
base_stack_v4_cylinder source=mc_1752 · unit=cylinder · total=26 · max vertical=4 · floating=5
viewer spec
taskquestionanswer
GE3D_BASE_STACK_TOTAL_COUNTHow many cylinders are in the stack?26
GE3D_BASE_STACK_MAX_HEIGHTWhat is the maximum number of base solids in one vertical position?4
GE3D_BASE_STACK_TOP_COLUMN_COUNTHow many vertical positions reach the highest occupied layer?1
GE3D_BASE_STACK_HIGHEST_LAYERWhat is the highest occupied layer number if the ground layer is layer 1?6
GE3D_BASE_STACK_OCCUPIED_POSITIONSHow many ground positions are occupied by at least one base solid?11
GE3D_BASE_STACK_MARKED_COLUMN_HEIGHTHow many base solids are in the marked vertical position P?4
GE3D_BASE_STACK_TALL_COLUMN_COUNTHow many occupied vertical positions contain at least two base solids?7
GE3D_BASE_STACK_EMPTY_POSITIONSHow many ground positions are empty?9
GE3D_BASE_STACK_ABOVE_GROUND_COUNTHow many base solids are above the first layer?15
GE3D_BASE_STACK_THIRD_LEVEL_COLUMN_COUNTHow many vertical positions have a solid on the third layer or higher?7
GE3D_BASE_STACK_FLOATING_COUNTHow many base solids are floating above a gap or empty cell?5
GE3D_BASE_STACK_FLOATING_POSITION_COUNTHow many grid positions contain at least one floating solid?5
GE3D_BASE_STACK_HIGHEST_FLOATING_LAYERWhat is the highest layer number occupied by a floating solid?6
base_stack_v4_cone screenshot
base_stack_v4_cone source=mc_1751 · unit=cone · total=25 · max vertical=4 · floating=5
viewer spec
taskquestionanswer
GE3D_BASE_STACK_TOTAL_COUNTHow many cones are in the stack?25
GE3D_BASE_STACK_MAX_HEIGHTWhat is the maximum number of base solids in one vertical position?4
GE3D_BASE_STACK_TOP_COLUMN_COUNTHow many vertical positions reach the highest occupied layer?1
GE3D_BASE_STACK_HIGHEST_LAYERWhat is the highest occupied layer number if the ground layer is layer 1?6
GE3D_BASE_STACK_OCCUPIED_POSITIONSHow many ground positions are occupied by at least one base solid?11
GE3D_BASE_STACK_MARKED_COLUMN_HEIGHTHow many base solids are in the marked vertical position P?4
GE3D_BASE_STACK_TALL_COLUMN_COUNTHow many occupied vertical positions contain at least two base solids?6
GE3D_BASE_STACK_EMPTY_POSITIONSHow many ground positions are empty?9
GE3D_BASE_STACK_ABOVE_GROUND_COUNTHow many base solids are above the first layer?14
GE3D_BASE_STACK_THIRD_LEVEL_COLUMN_COUNTHow many vertical positions have a solid on the third layer or higher?7
GE3D_BASE_STACK_FLOATING_COUNTHow many base solids are floating above a gap or empty cell?5
GE3D_BASE_STACK_FLOATING_POSITION_COUNTHow many grid positions contain at least one floating solid?5
GE3D_BASE_STACK_HIGHEST_FLOATING_LAYERWhat is the highest layer number occupied by a floating solid?6
base_stack_v4_tri_prism screenshot
base_stack_v4_tri_prism source=mc_1765 · unit=triangular_prism · total=28 · max vertical=4 · floating=5
viewer spec
taskquestionanswer
GE3D_BASE_STACK_TOTAL_COUNTHow many triangular prisms are in the stack?28
GE3D_BASE_STACK_MAX_HEIGHTWhat is the maximum number of base solids in one vertical position?4
GE3D_BASE_STACK_TOP_COLUMN_COUNTHow many vertical positions reach the highest occupied layer?1
GE3D_BASE_STACK_HIGHEST_LAYERWhat is the highest occupied layer number if the ground layer is layer 1?6
GE3D_BASE_STACK_OCCUPIED_POSITIONSHow many ground positions are occupied by at least one base solid?13
GE3D_BASE_STACK_MARKED_COLUMN_HEIGHTHow many base solids are in the marked vertical position P?4
GE3D_BASE_STACK_TALL_COLUMN_COUNTHow many occupied vertical positions contain at least two base solids?8
GE3D_BASE_STACK_EMPTY_POSITIONSHow many ground positions are empty?7
GE3D_BASE_STACK_ABOVE_GROUND_COUNTHow many base solids are above the first layer?15
GE3D_BASE_STACK_THIRD_LEVEL_COLUMN_COUNTHow many vertical positions have a solid on the third layer or higher?7
GE3D_BASE_STACK_FLOATING_COUNTHow many base solids are floating above a gap or empty cell?5
GE3D_BASE_STACK_FLOATING_POSITION_COUNTHow many grid positions contain at least one floating solid?5
GE3D_BASE_STACK_HIGHEST_FLOATING_LAYERWhat is the highest layer number occupied by a floating solid?6