In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's book Polyhedron Models as model 28, the third stellation of icosahedron.
and 28 Related for: Excavated dodecahedron information
In geometry, the excavateddodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its...
pyramids rather than convex ones. The excavateddodecahedron can be seen as the same process applied to a regular dodecahedron, although this result is not regular...
elevated dodecahedron has the same combinatorial structure as a pentakis dodecahedron, i.e., the same Schlegel diagram. Excavateddodecahedron The Spaceship...
discovered after having long been misclassified as a dodecahedron. This icosahedron was excavated near Arloff in Germany and is currently on display in...
dodecahedron are dual to each other. The small stellated dodecahedron and great dodecahedron are dual to each other. The great stellated dodecahedron...
faces meeting around each vertex. Its dual polyhedron is the regular dodecahedron {5, 3} having three regular pentagonal faces around each vertex. The...
many relations with other Platonic solids, one of them is the regular dodecahedron as its dual polyhedron and has the historical background on the comparison...
and compound of five cubes are constructed by face diagonals. The excavateddodecahedron is a facetting with star hexagon faces. Faceting has not been studied...
to invert themselves and excavate the central icosahedron, the result is a great dodecahedron. The great stellated dodecahedron can be constructed analogously...
space on its own. Regular abstract polyhedra, which include the excavateddodecahedron and the dodecadodecahedron. They have combinatorial symmetries transitive...
down to points, and producing the great stellated dodecahedron. The truncated great stellated dodecahedron is a degenerate polyhedron, with 20 triangular...
of the rhombs. What resembles an "excavated" rhombic triacontahedron (compare excavateddodecahedron and excavated icosahedron) can be seen within the...
described by Edmund Hess in 1876. It can be seen as a faceting of a regular dodecahedron. It can be constructed by arranging five tetrahedra in rotational icosahedral...
described by Edmund Hess in 1876. It can be seen as a faceting of a regular dodecahedron. It can also be seen as the compound of ten tetrahedra with full icosahedral...
icosahedron and ditrigonal dodecadodecahedron are dual to each other. The excavateddodecahedron is self-dual. Polygon Regular polygon Star polygon Polyhedron Regular...
stellation process, recognizing the small stellated dodecahedron and great stellated dodecahedron as regular polyhedra. However, Louis Poinsot in 1809...
(Triakis icosahedron) Ih 27 Second stellation of icosahedron Ih 28 Excavateddodecahedron (Third stellation of icosahedron) Ih 29 Fourth stellation of icosahedron...
W28 may refer to: Excavateddodecahedron Jiwarli dialect Sequim Valley Airport, in Clallam County, Washington, United States W28 (nuclear warhead) This...
of five tetrahedra Compound of ten tetrahedra Great icosahedron Excavateddodecahedron Final stellation The stellation process on the icosahedron creates...
of five tetrahedra Compound of ten tetrahedra Great icosahedron Excavateddodecahedron Final stellation The stellation process on the icosahedron creates...
Minkowski sum of a cube, a truncated octahedron, and a rhombic dodecahedron. The excavated truncated rhombicuboctahedron is a toroidal polyhedron, constructed...
North Scaffold Lane and the Roman villa. Finds have included a Roman dodecahedron, described as "exceptional not just because it's the first to have been...
Hambleden 1st/2nd century Roman burial and potential Iron Age village excavated during the construction of the East Kent Access Road on the Isle of Thanet...
was discovered in Iraq, Girsu. 27 – 1,600-year-old fragment of Roman dodecahedron unearthed in Belgium, Flanders. February 20 – A study reports that 2...
also occurs for the dual uniform polyhedra known as the great pentakis dodecahedron (DU58) and medial inverted pentagonal hexecontahedron (DU60). Jim McNeill...
thus functioned as a form of dice. Perhaps the oldest known dice were excavated as part of a backgammon-like game set at the Burnt City, an archeological...
Global Information
