All Questions
6 questions
10
votes
3
answers
929
views
Tiling Quandary
Mo Demir is a master tiler, but he knew this task would be challenging - his friend, the famous mathematician Roger P. has asked him to tile the new bathroom. The customer has given him a full plan - ...
- 1,039
1
vote
0
answers
172
views
Arranging shapes into a similar shape
The goals if possible.
Goal 1.
In the image there are 12 shapes each containing 15 cells.
Take any 3 shapes from the set and arrange them into any new shape, 2 example shapes that you could use are ...
- 621
2
votes
2
answers
224
views
Find the ratio of green to red circles for given patterns
Just a small visual task.
Find the ratio of green to red circles, for infinite planes, filled with the following patterns:
- 244
12
votes
1
answer
1k
views
Geometry haberdasher problem - square to equilateral triangle variation
Let me remind the haberdasher's problem, proposed in 1907 by the puzzle composer Henry Dudeney. Dissect an equilateral triangle to a square, with only three cuts.
I would like to propose the ...
- 625
7
votes
2
answers
549
views
Fill up a tetris field where bordering tiles have different colors
Is it possible to completely fill the infinite tetris field $\mathbb Z^2$ with tetrominoes such that no tetromino borders another one of the same type?
Assume that two tetromiones border each other ...
- 13.6k
20
votes
4
answers
5k
views
Mosaic with tetris blocks
Create the pattern shown in the picture below using the set of standard tetris blocks.
This is a rectangular arrangement of 6×5 squares where the first and third squares have been removed from the ...
- 13.6k