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🔥 Top post: What are some examples of non-trivial finite sequences, whose de · 10 likes + reposts
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So the X pentomino fits into a rectangle which is smaller than its "bounding box". In this case we have a square of area 8, where the bounding box would be a 3x3 square. I suppose it's the smallest example, but is there an easy proof? I ca…
Here's a blatantly false statement:
Let G be a cubic #graph embedded in the plane with a proper 3-edge colouring. Colour a vertex black if the clockwise ordering of the colours of its incident edges is rgb and white if the ordering is rbg.…
I use arxivist.com (check it out) which scores arxiv posts according to some likes and dislikes you enter on the website, and emails you the top 5 per day. Most days, the top 5 have a score between 90 and 120 but occasionally the scores ar…
I've been reading a lot of Terry Pratchett recently and it's affected my writing. I've written two wry footnotes in the manuscript I've been working on!
A similar phenomenon: I've been learning the mandolin and it's affected my bass playin…
Very happy to be proved wrong about any implicit claims made here. But for the record I do only care about tilings with regular spherical polygons
The only semi-regular* spherical* polyhedra are the Platonic solids*, Archimedean solids, prisms, antiprisms and that one almost-Archimedean solid.
I think the proof of this is relatively straightforward and purely combinatorial. I found a…
Do people tend to underestimate or overestimate thirds? Does it vary a lot?
I consistently underestimate thirds; when tasked with cutting an orange into thirds I cut off what looks like a third then cut the remainder in half. The first th…
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