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4 votes
0 answers
206 views

Generating a Penrose tessellation around a given tile

Given a starting Penrose tile, I need to build a "spiraling" tessellation around it. The following picture illustrates the request: In this example, the starting tile is a "thin rhombus" (the pink ...
Andrea Prunotto's user avatar
2 votes
0 answers
100 views

Sequence of numbers related to line-segment intersections

Question: what is known about the sequence $\mathbb{X}\subset \mathbb{N}_0$ such that for each $k\in \mathbb{X}$ there exists a set of $n$ points in general position in the Euclidean plane such that ...
Manfred Weis's user avatar
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1 vote
0 answers
67 views

Counting pieces when an object is cut n ways

I was reading a passage from an old essay by Martin Gardner on the calculus of finite differences, and it seems to me that there is more that can and should be said about seemingly anomalous values of ...
James Propp's user avatar
  • 19.7k