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The compound of small stellated dodecahedron and great dodecahedron is a
The compound of small stellated dodecahedron and great dodecahedron is a polyhedron compound
In geometry, a polyhedral compound is a figure that is composed of several polyhedra sharing a common centre. They are the three-dimensional analogs of polygonal compounds such as the hexagram.
The outer vertices of a compound can be connected ...
where the great dodecahedron is internal to its dual
Dual or Duals may refer to:
Paired/two things
* Dual (mathematics), a notion of paired concepts that mirror one another
** Dual (category theory), a formalization of mathematical duality
*** see more cases in :Duality theories
* Dual (grammatical ...
, the small stellated dodecahedron.
This can be seen as one of the two three-dimensional equivalents of the compound of two pentagrams ( "decagram Decagram may refer to:
* 10 gram, or 0.01 kilogram
The kilogram (also kilogramme) is the unit of mass in the International System of Units (SI), having the unit symbol kg. It is a widely used measure in science, engineering and commerce world ...
"); this series continues into the fourth dimension as compounds of star 4-polytopes.
See also
* Compound of two tetrahedra * Compound of cube and octahedron * Compound of dodecahedron and icosahedron *Compound of great icosahedron and great stellated dodecahedron
There are two different compounds of great icosahedron and great stellated dodecahedron: one is a dual compound and a stellation of the great icosidodecahedron, the other is a stellation of the icosidodecahedron.
Dual compound
It can be seen as ...
References
* Polyhedral compounds {{polyhedron-stub