# Questions tagged [tiling]

For challenges that involve partitioning a space (usually the plane) into small tiles without gaps (usually using a finite set of proto-tiles). See also [set-partitions].

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### Arranging arbitrary rectangles to fill a space

Can these rectangles fill a rectangular space? Given a bunch of rectangles, you are asked whether or not they can be arranged to fill a rectangular space. Specs Given a bunch of arbitrary ...
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### Random ASCII Art of the Day #5: Diamond Tilings

Mash Up Time! This is instalment #5 of both my Random Golf of the Day and Optimizer's ASCII Art of the Day series. Your submission(s) in this challenge will count towards both leaderboards (which you ...
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### Me Want Honeycomb

Write the shortest program that prints this ASCII art section of a hexagonal tiling or honeycomb: ...
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### Fibonacci domino tiling

There's classic combinatorial result that the number of ways to tile a 2*n strip by 1*2 dominoes is the nth Fibonacci number. ...
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### Extending OEIS: Counting Diamond Tilings

I promise, this will be my last challenge about diamong tilings (for a while, anyway). On the bright side, this challenge doesn't have anything to do with ASCII art, and is not a code golf either, so ...
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### Scale up a Diamond Tiling

Any regular hexagon can be tiled with diamonds, for instance like so: ______ /_/_/\_\ /_/\_\/\_\ /\_\/_/\/_/\ \/_/\_\/_/\/ \_\/_/\_\/ \_\_\/_/ We'll ...
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### ASCII connected hexagons

Overview Given a number of hexagons, arrange them into a connected shape within the confines of a 50 by 50 ASCII art image. The shape you choose can be arbitrary - whatever you find most amenable to ...
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### Domino Recurrence Generator

Challenge We once had a challenge to count domino tilings of m by n grid, and we all know that, for any fixed number of rows, the number of domino tilings by columns forms a linear recurrence. Then ...
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### Fill the Screen with Wang Tiles

It has been proven that the following 13 square Wang tiles always tile the plane aperiodically. This means that when the squares are arranged in a grid with all neighboring sides the same color, a ...
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### Rotate a diamond tiling

Any regular hexagon can be tiled with diamonds, for instance like so (stolen from this question): ...
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### Piet (Mondrian)'s Puzzle

For more information, watch this video, and go to A276523 for a related sequence. The Mondrian Puzzle (for an integer n) is the following: Fit non-congruent ...
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### Is my kids' alphabet mat properly grouped by colors?

My kids have an alphabet mat to play with, something like this: After months with the tiles of the mat randomly placed, I got tired and placed all the tiles of the mat grouped by sections according ...
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### Number of domino tilings

Write a program or function that given positive n and m calculates the number of valid distinct domino tilings you can fit in a n by m rectangle. This is sequence A099390 in the Online Encyclopedia of ...
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### Supersonic domino tilings

Task Write a program that reads three integers m, n either from STDIN or as command-line arguments, prints all possible tilings of a rectangle of dimensions m × n by 2 × 1 and 1 × 2 dominos and ...
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### Generate valid Fibonacci tilings

Background The Fibonacci tiling is a tiling of the (1D) line using two segments: a short one, S, and a long one, L (their length ratio is the golden ratio, but that's not relevant to this challenge). ...
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