In geometry, the great pentakis dodecahedron is a nonconvex isohedral polyhedron.
It is the dual of the uniform small stellated truncated dodecahedron. The pentagonal faces pass close to the center in the uniform polyhedron, causing this dual to be very spikey. It has 60 intersecting isosceles triangle faces. Part of each triangle lies within the solid, hence is invisible in solid models.
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geometry, the greatpentakisdodecahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform small stellated truncated dodecahedron. The pentagonal...
hexecontahedron, Great icosacronic hexecontahedron Small stellapentakis dodecahedron, Great stellapentakis dodecahedronGreatpentakisdodecahedronGreat triakis...
small stellated truncated dodecahedron (or quasitruncated small stellated dodecahedron or small stellatruncated dodecahedron) is a nonconvex uniform polyhedron...
example, the icosahedron is {3,5+}1,0, and pentakisdodecahedron, {3,5+}1,1 is seen as a regular dodecahedron with pentagonal faces divided into 5 triangles...
In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its...
polyhedra: small stellated dodecahedron, greatdodecahedron, and great icosahedron. They all have 30 edges. The regular dodecahedron can be faceted into one...
self-intersecting polyhedra, self-intersecting deltahedra are non-convex; example: Great icosahedron — a Kepler-Poinsot solid, with 20 intersecting triangles: Simplicial...
stellations of the icosahedron are the medial triambic icosahedron and the great triambic icosahedron. Grünbaum, Branko (2008). "Can every face of a polyhedron...
stellated dodecahedron and greatdodecahedron, and when m = 3, the case degenerates to a tetrahedron. The other two Kepler–Poinsot polyhedra (the great stellated...
polyhedral configurations of the remaining two Platonic solids, the cube and dodecahedron respectively. One can also ask for ground states of particles interacting...