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15
559
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Can extreme points always be projected to be extreme points?

Published on
#linear-algebra #convex-optimization #linear-programming #projective-geometry #polyhedra
193
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Permutohedron: Wikipedia vs. Günter Matthias Ziegler

Published on
#linear-programming #polyhedra #polytopes
87
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understanding proof for greedy algorithm for linear optimization on base polyhedra

Published on
#polyhedra #discrete-optimization
215
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The 57-cell in 5D or 4D

Published on
#geometry #graph-theory #polyhedra #polytopes
125
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Do random LP problems have optima with probability $\frac 12$?

Published on
#probability #linear-programming #duality-theorems #polyhedra
644
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Prove that an edge of a polyhedron is a line segment

Published on
#linear-programming #polyhedra #polytopes
115
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Proving vertex-transitive polytopes can be circumscribed

Published on
#polyhedra #polytopes
300
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Suppose a box A is contained in a box B. Is the total volume of the k-faces of A at most the total volume of the total k-faces of B?

Published on
#euclidean-geometry #polyhedra #discrete-geometry #polytopes #convex-geometry
804
Views

Tetrahedron vector problem

Published on
#geometry #vectors #analytic-geometry #polyhedra
149
Views

pythagorean theorem in 3 Dimensions

Published on
#combinatorics #metric-spaces #euclidean-geometry #polyhedra #exterior-algebra
1k
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If $P$ is a polytope that is both simplicial and simple, then $P$ is a simplex or an $n$-gon

Published on
#polyhedra #discrete-geometry #polytopes
458
Views

The 30 tetrahedral ring in the 600 cell

Published on
#geometry #polyhedra
203
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Can you always combine the dual of an Archimedean Solid with itself like an icosidodecahedron?

Published on
#euclidean-geometry #polyhedra
104
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Polycube with distinct rectangular faces

Published on
#combinatorics #graph-theory #recreational-mathematics #polyhedra #packing-problem
114
Views

Angles of a Tetrahedron

Published on
#multivariable-calculus #polyhedra #solid-geometry #solid-angle

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