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A regular polyhedron is used because it can be built from a single basic unit protein used over and over again; this saves space in the viral genome.
en.wikipedia.org
It is the only self-dual regular polyhedron.
en.wikipedia.org
Its occurrence in regular pentagons and decagons was duly observed, as well as in the dodecahedron (a regular polyhedron whose twelve faces are regular pentagons).
en.wikipedia.org
A regular polyhedron which has "q" regular p-sided polygon faces around each vertex is represented by p, q.
en.wikipedia.org
The most common way presented to construct a regular polyhedron is via a fold-out net.
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The centroid of many figures (regular polygon, regular polyhedron, cylinder, rectangle, rhombus, circle, sphere, ellipse, ellipsoid, superellipse, superellipsoid, etc.) can be determined by this principle alone.
en.wikipedia.org
For simple geodesic domes, curves follow the surface of a sphere circumscribing a regular polyhedron with triangular faces, (tetrahedron, icosahedron, or octahedron).
en.wikipedia.org
The cube is a regular polyhedron, and a square prism.
en.wikipedia.org
The octahedron is a regular polyhedron, and a triangular antiprism.
en.wikipedia.org
A regular polyhedron is highly symmetrical, being all of edge-transitive, vertex-transitive and face-transitive.
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