Investigations
Research and Development. Things that might become puzzles or games in the future.
8 Templates
Clones Tile A Rectangle - Simple Version
Copies of a single polycube tile a rectangle. Simplest config; no constraint flags.
Key: Clones_Tile_A_Square_Simple (Template)
Constraints: defaults.
Children: rect3x3_T, rect4x4_T, rect5x5_T, rect6x6_T, rect7x7_T, rect8x8_T
Clones Tile A Rectangle - Restricted Neighbors
Copies of a single polycube tile a rectangle. Matching orientations can't touch.
Key: Clones_Tile_A_Square (Template)
Children: rect2x2_L, rect2x2_PLR, rect2x2_PQO, rect2x2_PQR, rect2x2_PQA, rect2x2_APL, rect2x2_P, rect2x2_VPL, rect2x2_L+3, rect2x2_1x2x3, rect2x2_2x3x5, rect2x3_L, rect2x3_PLR, rect2x3_PQO, rect2x3_PQR, rect2x3_PQA, rect2x3_APL, rect2x3_P, rect2x3_VPL, rect2x3_L+3, rect2x3_1x2x3, rect2x3_2x3x5, rect3x3_L, rect3x3_PLR, rect3x3_PQO, rect3x3_PQR, rect3x3_PQA, rect3x3_APL, rect3x3_P, rect3x3_VPL, rect3x3_L+3, rect3x3_1x2x3, rect3x3_2x3x5, rect2x4_L, rect2x4_PLR, rect2x4_PQO, rect2x4_PQR, rect2x4_PQA, rect2x4_APL, rect2x4_P, rect2x4_VPL, rect2x4_L+3, rect2x4_1x2x3, rect2x4_2x3x5, rect3x4_L, rect3x4_PLR, rect3x4_PQO, rect3x4_PQR, rect3x4_PQA, rect3x4_APL, rect3x4_P, rect3x4_VPL, rect3x4_L+3, rect3x4_1x2x3, rect3x4_2x3x5, rect4x4_L, rect4x4_PLR, rect4x4_PQO, rect4x4_PQR, rect4x4_PQA, rect4x4_APL, rect4x4_P, rect4x4_VPL, rect4x4_L+3, rect4x4_1x2x3, rect4x4_2x3x5, rect2x5_L, rect2x5_PLR, rect2x5_PQO, rect2x5_PQR, rect2x5_PQA, rect2x5_APL, rect2x5_P, rect2x5_VPL, rect2x5_L+3, rect2x5_1x2x3, rect2x5_2x3x5, rect3x5_L, rect3x5_PLR, rect3x5_PQO, rect3x5_PQR, rect3x5_PQA, rect3x5_APL, rect3x5_P, rect3x5_VPL, rect3x5_L+3, rect3x5_1x2x3, rect3x5_2x3x5, rect4x5_L, rect4x5_PLR, rect4x5_PQO, rect4x5_PQR, rect4x5_PQA, rect4x5_APL, rect4x5_P, rect4x5_VPL, rect4x5_L+3, rect4x5_1x2x3, rect4x5_2x3x5, rect5x5_L, rect5x5_PLR, rect5x5_PQO, rect5x5_PQR, rect5x5_PQA, rect5x5_APL, rect5x5_P, rect5x5_VPL, rect5x5_L+3, rect5x5_1x2x3, rect5x5_2x3x5, rect2x6_L, rect2x6_PLR, rect2x6_PQO, rect2x6_PQR, rect2x6_PQA, rect2x6_APL, rect2x6_P, rect2x6_VPL, rect2x6_L+3, rect2x6_1x2x3, rect2x6_2x3x5, rect3x6_L, rect3x6_PLR, rect3x6_PQO, rect3x6_PQR, rect3x6_PQA, rect3x6_APL, rect3x6_P, rect3x6_VPL, rect3x6_L+3, rect3x6_1x2x3, rect3x6_2x3x5, rect4x6_L, rect4x6_PLR, rect4x6_PQO, rect4x6_PQR, rect4x6_PQA, rect4x6_APL, rect4x6_P, rect4x6_VPL, rect4x6_L+3, rect4x6_1x2x3, rect4x6_2x3x5, rect5x6_L, rect5x6_PLR, rect5x6_PQO, rect5x6_PQR, rect5x6_PQA, rect5x6_APL, rect5x6_P, rect5x6_VPL, rect5x6_L+3, rect5x6_1x2x3, rect5x6_2x3x5, rect6x6_L, rect6x6_PLR, rect6x6_PQO, rect6x6_PQR, rect6x6_PQA, rect6x6_APL, rect6x6_P, rect6x6_VPL, rect6x6_L+3, rect6x6_1x2x3, rect6x6_2x3x5, rect2x7_L, rect2x7_PLR, rect2x7_PQO, rect2x7_PQR, rect2x7_PQA, rect2x7_APL, rect2x7_P, rect2x7_VPL, rect2x7_L+3, rect2x7_1x2x3, rect2x7_2x3x5, rect3x7_L, rect3x7_PLR, rect3x7_PQO, rect3x7_PQR, rect3x7_PQA, rect3x7_APL, rect3x7_P, rect3x7_VPL, rect3x7_L+3, rect3x7_1x2x3, rect3x7_2x3x5, rect4x7_L, rect4x7_PLR, rect4x7_PQO, rect4x7_PQR, rect4x7_PQA, rect4x7_APL, rect4x7_P, rect4x7_VPL, rect4x7_L+3, rect4x7_1x2x3, rect4x7_2x3x5, rect5x7_L, rect5x7_PLR, rect5x7_PQO, rect5x7_PQR, rect5x7_PQA, rect5x7_APL, rect5x7_P, rect5x7_VPL, rect5x7_L+3, rect5x7_1x2x3, rect5x7_2x3x5, rect6x7_L, rect6x7_PLR, rect6x7_PQO, rect6x7_PQR, rect6x7_PQA, rect6x7_APL, rect6x7_P, rect6x7_VPL, rect6x7_L+3, rect6x7_1x2x3, rect6x7_2x3x5, rect7x7_L, rect7x7_PLR, rect7x7_PQO, rect7x7_PQR, rect7x7_PQA, rect7x7_APL, rect7x7_P, rect7x7_VPL, rect7x7_L+3, rect7x7_1x2x3, rect7x7_2x3x5
Overhang City
Copies of a polycube tile a rectangle and can overhang.
Key: Overhang_City (Template)
Tatami Tiling - 3 color variation
Tiling 2x1 rectangles, 3-colorable.
Key: Tatami_3color (Template)
P-Pentominos
Use P-Pentominos to assemble a larger version of the same shape.
Key: P_Pentominos (Template)
Constraints: 🎲
Children: pent1_Px0, pent1_Px1, pent2_Px0, pent2_Px1, pent2_Px2, pent2_Px3, pent2_Px4, pent3_Px0, pent3_Px1, pent3_Px2, pent3_Px3, pent3_Px4, pent3_Px5, pent3_Px6, pent3_Px7, pent3_Px8, pent3_Px9, pent4_Px0, pent4_Px1, pent4_Px2, pent4_Px3, pent4_Px4, pent4_Px5, pent4_Px6, pent4_Px7, pent4_Px8, pent4_Px9, pent4_Px10, pent4_Px11, pent4_Px12, pent4_Px13, pent4_Px14, pent4_Px15, pent4_Px16
Locked Triangles
Pieces that can't turn. eg 36 Triangles Puzzle.
Key: Locked_Triangles (Template)
Generated
Angel Cube (cube4)
Fill a cube with pieces.
Key: Angel_Cube_cube4 (Generated)
Parent: Angel_Cube
Board: cube4
Tatami Tiling - Classic (rect4x4)
Tiling 2x1 rectangles.
Key: Tatami_rect4x4 (Generated)
Parent: Tatami
Board: rect4x4
Pieces: I2 x 8
Clones Tile A Rectangle - Simple Version (rect3x3_T)
Copies of a single polycube tile a rectangle. Simplest config; no constraint flags.
Key: Clones_Tile_A_Square_Simple_rect3x3_T (Generated)
Parent: Clones_Tile_A_Square_Simple
Board: rect3x3
Pieces: T x ∞
Constraints: defaults.
Clones Tile A Rectangle - Simple Version (rect4x4_T)
Copies of a single polycube tile a rectangle. Simplest config; no constraint flags.
Key: Clones_Tile_A_Square_Simple_rect4x4_T (Generated)
Parent: Clones_Tile_A_Square_Simple
Board: rect4x4
Pieces: T x ∞
Constraints: defaults.
Result
Found 1 solution.
In 0 seconds and 9 steps, solver v0.1.1 ran on 8/14/2024 and found 2 total solutions, which reduced to 1 unique solutions. Completed without bailing early.
Clones Tile A Rectangle - Simple Version (rect5x5_T)
Copies of a single polycube tile a rectangle. Simplest config; no constraint flags.
Key: Clones_Tile_A_Square_Simple_rect5x5_T (Generated)
Parent: Clones_Tile_A_Square_Simple
Board: rect5x5
Pieces: T x ∞
Constraints: defaults.
Result
Found 0 solutions.
In 0 seconds and 13 steps, solver v0.1 ran on 8/1/2024 and found 0 total solutions, which reduced to 0 unique solutions. Completed without bailing early.
Clones Tile A Rectangle - Simple Version (rect6x6_T)
Copies of a single polycube tile a rectangle. Simplest config; no constraint flags.
Key: Clones_Tile_A_Square_Simple_rect6x6_T (Generated)
Parent: Clones_Tile_A_Square_Simple
Board: rect6x6
Pieces: T x ∞
Constraints: defaults.
Result
Found 0 solutions.
In 0 seconds and 14 steps, solver v0.1.1 ran on 8/14/2024 and found 0 total solutions, which reduced to 0 unique solutions. Completed without bailing early.
Clones Tile A Rectangle - Simple Version (rect7x7_T)
Copies of a single polycube tile a rectangle. Simplest config; no constraint flags.
Key: Clones_Tile_A_Square_Simple_rect7x7_T (Generated)
Parent: Clones_Tile_A_Square_Simple
Board: rect7x7
Pieces: T x ∞
Constraints: defaults.
Clones Tile A Rectangle - Simple Version (rect8x8_T)
Copies of a single polycube tile a rectangle. Simplest config; no constraint flags.
Key: Clones_Tile_A_Square_Simple_rect8x8_T (Generated)
Parent: Clones_Tile_A_Square_Simple
Board: rect8x8
Pieces: T x ∞
Constraints: defaults.
Result
Found 15 solutions.
In 2 seconds and 1007 steps, solver v0.1.1 ran on 8/14/2024 and found 84 total solutions, which reduced to 15 unique solutions. Completed without bailing early.