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15
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The number of facets of an affine image

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#geometry #discrete-mathematics #convex-analysis #computational-geometry #polyhedra
482
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What is the analog of the hexagonal grid in 3-dimensional space? Rhombic dodecahedral honeycomb?

Published on
#geometry #polyhedra #tessellations
1k
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Non-convex polyhedron with 18 edges, 12 faces and 8 vertices

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#geometry #polyhedra
98
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What is the answer to the Kelvin problem if restriced our selves to isohedral polyhedra?

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#geometry #polyhedra #tessellations
221
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Facets shared by two points on a convex polytope

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#linear-algebra #polyhedra #polytopes #geometry
190
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"The gyroelongated triangular bipyramid can be made with equilateral triangles"

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#geometry #3d #polyhedra
161
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How similar can the nets of distinct polyhedra be?

Published on
#geometry #3d #polyhedra #combinatorial-geometry
63
Views

Polyhedron cut along an edge

Published on
#euclidean-geometry #polyhedra
158
Views

Projection of a convex set in $\mathbb R^n$ onto $\mathbb R^2$

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#linear-algebra #convex-analysis #linear-programming #linear-transformations #polyhedra
28
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Is $2n$ the smallest number of halfspaces to determine a segment in $\mathbb{R}^n$?

Published on
#linear-programming #polyhedra
45
Views

how to find a tetrahedron in $R^n$ to bound an ellipsoid (again in $R^n$)

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#algebraic-geometry #computational-geometry #polyhedra
663
Views

Decomposing geodesic tessellations over a sphere into parallelograms

Published on
#geometry #3d #polyhedra #spheres #tessellations
456
Views

Why is the height of a pentagonal antiprism equal to the circumradius of the base?

Published on
#geometry #polyhedra
110
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On a convex polytope

Published on
#graph-theory #polyhedra #polytopes
200
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Why don't Archimedean solids give finite subgroups of $SO(3,\Bbb R)$?

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#group-theory #finite-groups #symmetric-groups #polyhedra #platonic-solids

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