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Results tagged with polyhedra
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user 31310
13
votes
2
answers
677
views
What was the Question that led Euler to his Investigations on Polyhedra?
My question is whether it is also known what led Euler to investigate on polyhedra; was it a 'recreational' question, or was it a mathematical research question of his contemporaries? … A further question would be whether Euler continued his investigations on polyhedra after having discovered his famous characterisation of polyhedra of genus 0. …
- 13.2k
0
votes
0
answers
2
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Sum of Simplex Volumes with Corners from Points in Convex Configuration
Question:
given $k,\,k>n$ points in convex configuration and general position in $n$ dimensional Euclidean space, i.e. no $n+1$ points of which are co-hyperplanar,
what can be said about how the sum …
- 13.2k
8
votes
What's that shape? Inferring a 3D shape from random shadows
Shape-reconstruction from shadows will definitely be impossible for "modified convex" polyhedra, that are topologically equivalent to a sphere and can be generated from a corresponding truly convex polyhedron …
- 13.2k