Questions tagged [tiling]
A geometric packing puzzle in which a number of shapes have to be assembled into a larger shape, generally without overlaps or gaps.
229 questions
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Can a 10*10 square be paved with 1*4 rectangular stone plates?
Can a 10 * 10 square be paved with 1*4 rectangular stone plates?
I seek a very intuitive and simple answer to this puzzle.
P.S. Will post the source later. The source contains the answer but it is not ...
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A "crappy" pentagon puzzle
Lately, we've had plenty of puzzles based on the regular pentagon and its geometric properties. So I propose one that literally brings it all together.
Use eleven copies of the larger (left) piece ...
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Do solutions exist for 3D tiling with Pentaminos/Pentacubes?
To make a long story short, I have developed an IOS App running the classic game with Pentaminos and Pentacubes (see my profile for details). I am now considering the tiling option game with the same ...
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Is it possible to fill a 2x2x15 volume with 12 non-flat pentacubes?
I am playing with non flat pentacubes (i.e. 5-cube non-flat puzzle pieces), trying to fill all possible volumes of 60 cubes (then using 12 different ones of the 17 possible pieces).
Up to now, I made ...
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The slanted blocks box problem
Woody Woodcutter is preparing his special slanted wooden blocks box. His nephew likes to put slanted roofs on every construction, so he made a special box with many slanted blocks to add to his ...
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Is there a perfect squared square made entirely of squares of prime edge?
There are infinitely many sets of distinct primes whose squares add up to a square number and, presumably, sets of any size (https://mathoverflow.net/questions/501745/primes-whose-squares-add-up-to-...
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Good old Ministeck
Wth Ministeck you can create some nice patterns and images, such as the following:
There are 5 basic pieces:
Because the dots (1-pieces) are very scarce (and you easily lose them because they're so ...
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Covering a rectangular floor with prime tiles
At my local store the only tiles sold are size 1 x p, p any of the first twenty five primes. What is the area of the largest rectangular floor, with width and height greater than 1, that I can ...
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Tiling 7×107 rectangle with heptominoes
Is it possible to tile a 7×107 rectangle with the 107 heptominoes that do not have a hole?
Obviously, the heptomino with a hole cannot be used to tile, and there are 107 remaining heptominoes?
Rules:
...
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Tiling a rectangle with heptominoes [duplicate]
An n-omino is a two-dimensional polygon composed of n congruent squares glued together via the edges. For instance, the 4-ominoes are the Tetris shapes.
It is famously known that one can tile a 6-by-...
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Regular decagons and tilings of the plane
My uncle, Prof. Tenrows, recently showed me his latest jigsaw puzzle creation, which he's particularly proud of. It uses only three types of tiles, all derived from regular ten-sided polygons — nomen ...
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How many two-coloured tilings of the plane are there using F-pentominos?
I looked at finding two-coloured F-pentomino tilings of the plane today. I have a program that tiles rectangles and also handles wrapping of each axis, ie tiling a torus. Tiling a 10x10 torus I get ...
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Minimize number of tiles to make hexagon packing stuck
The question Maximize the number of triangular tiles that can fit inside a hexagon after three tiles are placed shows a tiling puzzle where you have 18 triangles with angles of (30,120,30) that need ...
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Maximize the number of triangular tiles that can fit inside a hexagon after three tiles are placed
While traveling in Europe recently, I bought a tiling puzzle for my daughter. (It is a Grimm’s wooden puzzle, exactly like the one in this link.) The puzzle contains 18 congruent tiles, each of which ...
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Two Geometric Magic Squares
The following is a traditional 3x3 magic square:
8 1 6
3 5 7
4 9 2
In a traditional magic square, the sum of the numbers in each row, each column and both ...
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