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Two dodecahedra and an icosahedron on display in the Rheinisches Landesmuseum Bonn, Germany. The first dodecahedron was found in 1739. Since then, at least 130 similar objects have been found in Austria, Belgium, France, Germany, Hungary, Luxembourg, the Netherlands, Switzerland and the United Kingdom, but not in the Roman heartland in Italy. [1]
Armand Spitz used a dodecahedron as the "globe" equivalent for his Digital Dome planetarium projector, [10] based upon a suggestion from Albert Einstein. Regular dodecahedrons are sometimes used as dice, when they are known as d12s, especially in games such as Dungeons and Dragons.
A regular dodecahedron or pentagonal dodecahedron [notes 1] is a dodecahedron composed of regular pentagonal faces, three meeting at each vertex.It is an example of Platonic solids, described as cosmic stellation by Plato in his dialogues, and it was used as part of Solar System proposed by Johannes Kepler.
Parker said he is optimistic that the mystery will be solved because this dodecahedron was found in an archaeological excavation area, whereas “many of those that were found 200 or 300 years ago ...
As a parallelohedron, the rhombic dodecahedron can be used to tesselate its copies in space creating a rhombic dodecahedral honeycomb. There are some variations of the rhombic dodecahedron, one of which is the Bilinski dodecahedron. There are some stellations of the rhombic dodecahedron, one of which is the Escher's solid.
It can be seen as the compound of an icosahedron and dodecahedron.It is one of four compounds constructed from a Platonic solid or Kepler-Poinsot solid, and its dual.. It has icosahedral symmetry (I h) and the same vertex arrangement as a rhombic triacontahedron.
In geometry, the triaugmented dodecahedron is one of the Johnson solids (J 61).It can be seen as a dodecahedron with three pentagonal pyramids (J 2) attached to nonadjacent faces.
In geometry, the triaugmented truncated dodecahedron is one of the Johnson solids (J 71); of them, it has the greatest volume in proportion to the cube of the side length, as well as the greatest number of edges.