Investigations

Research and Development. Things that might become puzzles or games in the future.

Templates

Clones Tile A Rectangle - Simple Version

Copies of a single polycube tile a rectangle boardKey. Simplest config; no constraint flags.

Key: Clones_Tile_A_Square_Simple (Template)

Constraints: defaults.

Children: Clones Tile A Rectangle - Simple Version (rect1x1_T), Clones Tile A Rectangle - Simple Version (rect2x2_T), Clones Tile A Rectangle - Simple Version (rect3x3_T), Clones Tile A Rectangle - Simple Version (rect4x4_T), Clones Tile A Rectangle - Simple Version (rect5x5_T), Clones Tile A Rectangle - Simple Version (rect6x6_T), Clones Tile A Rectangle - Simple Version (rect7x7_T), Clones Tile A Rectangle - Simple Version (rect8x8_T)

Clones Tile A Rectangle - Restricted Neighbors

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square (Template)

Constraints: 🧃 👉 🏙️

Children: Clones Tile A Rectangle - Restricted Neighbors (rect1x1_PLR), Clones Tile A Rectangle - Restricted Neighbors (rect2x2_PLR), Clones Tile A Rectangle - Restricted Neighbors (rect3x3_PLR), Clones Tile A Rectangle - Restricted Neighbors (rect4x4_PLR), Clones Tile A Rectangle - Restricted Neighbors (rect5x5_PLR), Clones Tile A Rectangle - Restricted Neighbors (rect6x6_PLR), Clones Tile A Rectangle - Restricted Neighbors (rect7x7_PLR), Clones Tile A Rectangle - Restricted Neighbors (rect8x8_PLR), Clones Tile A Rectangle - Restricted Neighbors (rect9x9_PLR), Clones Tile A Rectangle - Restricted Neighbors (rect10x10_PLR)

Overhang City

Copies of a polycube tile a rectangle boardKey and can overhang.

Key: Overhang_City (Template)

Constraints: 💺 🏙️

Tatami Tiling - Classic

Tiling 2x1 rectangles.

Key: Tatami (Template)

Constraints: 🚦 🎲

Children: Tatami Tiling - Classic (rect4x4)

Tatami Tiling - 3 color variation

Tiling 2x1 rectangles, 3-colorable.

Key: Tatami_3color (Template)

Constraints: 🎲 🍏 👉 🗑️

P-Pentominos

Use P-Pentominos to assemble a larger version of the same shape.

Key: P_Pentominos (Template)

Constraints: 🎲

Children: P-Pentominos (pent1_Px0), P-Pentominos (pent1_Px1), P-Pentominos (pent2_Px0), P-Pentominos (pent2_Px1), P-Pentominos (pent2_Px2), P-Pentominos (pent2_Px3), P-Pentominos (pent2_Px4), P-Pentominos (pent3_Px0), P-Pentominos (pent3_Px1), P-Pentominos (pent3_Px2), P-Pentominos (pent3_Px3), P-Pentominos (pent3_Px4), P-Pentominos (pent3_Px5), P-Pentominos (pent3_Px6), P-Pentominos (pent3_Px7), P-Pentominos (pent3_Px8), P-Pentominos (pent3_Px9), P-Pentominos (pent4_Px0), P-Pentominos (pent4_Px1), P-Pentominos (pent4_Px2), P-Pentominos (pent4_Px3), P-Pentominos (pent4_Px4), P-Pentominos (pent4_Px5), P-Pentominos (pent4_Px6), P-Pentominos (pent4_Px7), P-Pentominos (pent4_Px8), P-Pentominos (pent4_Px9), P-Pentominos (pent4_Px10), P-Pentominos (pent4_Px11), P-Pentominos (pent4_Px12), P-Pentominos (pent4_Px13), P-Pentominos (pent4_Px14), P-Pentominos (pent4_Px15), P-Pentominos (pent4_Px16)

Locked Triangles

Pieces that can't turn. eg 36 Triangles Puzzle.

Key: Locked_Triangles (Template)

Constraints: 🌪️ 🎲

Angel Cube

Fill a cube with pieces.

Key: Angel_Cube (Template)

Constraints: ✈️ 💺

Children: Angel Cube (cube4)

Generated

Angel Cube (cube4)

Fill a cube with pieces.

Key: Angel_Cube_cube4 (Generated)

Parent: Angel_Cube

Board: cube4

Pieces: T x 8 , S2 x 4

Constraints: ✈️ 💺

Tatami Tiling - Classic (rect4x4)

Tiling 2x1 rectangles.

Key: Tatami_rect4x4 (Generated)

Parent: Tatami

Board: rect4x4

Pieces: I2 x 8

Constraints: 🚦 🎲

Clones Tile A Rectangle - Restricted Neighbors (rect1x1_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect1x1_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect1x1

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️

Clones Tile A Rectangle - Restricted Neighbors (rect2x2_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect2x2_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect2x2

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️

Clones Tile A Rectangle - Restricted Neighbors (rect3x3_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect3x3_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect3x3

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️

Clones Tile A Rectangle - Restricted Neighbors (rect4x4_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect4x4_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect4x4

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️


Result

Found 2 solutions.

In 0 seconds and 13 steps, solver v0.1.1 ran on 8/25/2024 and found total solutions, which reduced to 2 unique solutions. Completed without bailing early.

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Clones Tile A Rectangle - Restricted Neighbors (rect5x5_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect5x5_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect5x5

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️


Result

Found 0 solutions.

In 0 seconds and 25 steps, solver v0.1.1 ran on 8/25/2024 and found total solutions, which reduced to 0 unique solutions. Completed without bailing early.

Clones Tile A Rectangle - Restricted Neighbors (rect6x6_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect6x6_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect6x6

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️


Result

Found 0 solutions.

In 0 seconds and 76 steps, solver v0.1.1 ran on 8/25/2024 and found total solutions, which reduced to 0 unique solutions. Completed without bailing early.

Clones Tile A Rectangle - Restricted Neighbors (rect7x7_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect7x7_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect7x7

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️

Clones Tile A Rectangle - Restricted Neighbors (rect8x8_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect8x8_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect8x8

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️

Clones Tile A Rectangle - Restricted Neighbors (rect9x9_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect9x9_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect9x9

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️

Clones Tile A Rectangle - Restricted Neighbors (rect10x10_PLR)

Copies of a single polycube tile a rectangle boardKey. Matching orientations can't touch.

Key: Clones_Tile_A_Square_rect10x10_PLR (Generated)

Parent: Clones_Tile_A_Square

Board: rect10x10

Pieces: PLR x ∞

Constraints: 🧃 👉 🏙️

Clones Tile A Rectangle - Simple Version (rect1x1_T)

Copies of a single polycube tile a rectangle boardKey. Simplest config; no constraint flags.

Key: Clones_Tile_A_Square_Simple_rect1x1_T (Generated)

Parent: Clones_Tile_A_Square_Simple

Board: rect1x1

Pieces: T x ∞

Constraints: defaults.

Clones Tile A Rectangle - Simple Version (rect2x2_T)

Copies of a single polycube tile a rectangle boardKey. Simplest config; no constraint flags.

Key: Clones_Tile_A_Square_Simple_rect2x2_T (Generated)

Parent: Clones_Tile_A_Square_Simple

Board: rect2x2

Pieces: T x ∞

Constraints: defaults.

Clones Tile A Rectangle - Simple Version (rect3x3_T)

Copies of a single polycube tile a rectangle boardKey. 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 boardKey. 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.

1

Clones Tile A Rectangle - Simple Version (rect5x5_T)

Copies of a single polycube tile a rectangle boardKey. 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 boardKey. 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 boardKey. 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 boardKey. 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.

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