Tagged Questions
7
votes
0answers
100 views
What turmite runs the longest before becoming predictable?
When looking at 2D Turing machines, many of them eventually become predictable. For example, Langton's Ant, the champion 2-color 1-state turmite, develops a highway after 10,000 steps. Predictable ...
1
vote
1answer
153 views
Cube nets hexomino tilings.
I am looking for an ~12x12 rectangle (small holes and small obtrusions are okay) made entirely of cube net hexominos.
It is my understanding that perfect rectangles, in general, are not possible ...
0
votes
3answers
307 views
Tiling with polyominos
How to prove or disprove that if a polyomino tiles the plane, it must also be able to perfectly tile some larger polyomino, which also tiles the plane?
A polyomino is finite set of unit squares ...
2
votes
0answers
303 views
Social Golfer Problem - Quintets
I wrote an article on the Social Golfer Problem, which has questions like:
Each day, 16 people play Munchkin in foursomes simultaneously. How many days can they play with no two people playing with ...
4
votes
0answers
113 views
Is the maximal temperature of the curlicue fractal acheived by $e\times\gamma$?
The Curlicue Fractal is defined as follows:
Choose an irrational number $s$ and a horizontal unit segment with angle $\phi_0 = 0$. Define $\theta_{n+1} = \theta_{n} + 2 \pi s \pmod{2 \pi}$, with ...
73
votes
3answers
3k views
What is the smallest number of $45^\circ-60^\circ-75^\circ$ triangles that a square can be divided into?
What is the smallest number of $45^\circ-60^\circ-75^\circ$ triangles that a square can be divided into?
The image below is a flawed example, from http://www.mathpuzzle.com/flawed456075.gif
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