Large spangled dodecahedron
In Geometry, the large dodecahedron spangled is a Solide of Kepler-Poinsot . It is one of the four regular polyhedrons nonconvex.
It is composed of 12 pentagrammic faces, with three Pentagramme S meeting at each top.
The 20 tops have the same provision that one finds in a regular Dodécaèdre.
The fact of removing the triangular pyramids gives a Icosaèdre.
If the pentagrammic faces are broken in triangles, it is connected topologically to the Triaki-icosahedron, with the same connectivity of faces, but with isosceles triangular faces larger.
Like a stellation
It can also be built like the third of the three Stellation S of the dodecahedron, and referred under the model of Wenninger [W22].
References
- Magnus Wenninger : Polyhedron Models , ISBN 0-521-09859-9
External bonds
- 3 stellations of the dodecahedron
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