In geometry, the great triambic icosahedron and medial triambic icosahedron (or midly triambic icosahedron) are visually identical dual uniform polyhedra. The exterior surface also represents the De2f2 stellation of the icosahedron. These figures can be differentiated by marking which intersections between edges are true vertices and which are not. In the above images, true vertices are marked by gold spheres, which can be seen in the concave Y-shaped areas. Alternatively, if the faces are filled with the even–odd rule, the internal structure of both shapes will differ.
The 12 vertices of the convex hull matches the vertex arrangement of an icosahedron.
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In geometry, the greattriambicicosahedron and medial triambicicosahedron (or midly triambicicosahedron) are visually identical dual uniform polyhedra...
In geometry, the greaticosahedron is one of four Kepler–Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol {3,5⁄2} and Coxeter-Dynkin...
"regular icosahedron" generally refers to the convex variety, while the nonconvex form is called a greaticosahedron. The convex regular icosahedron is usually...
In geometry, the regular icosahedron (or simply icosahedron) is a convex polyhedron that can be constructed from pentagonal antiprism by attaching two...
In geometry, the small triambicicosahedron is a star polyhedron composed of 20 intersecting non-regular hexagon faces. It has 60 edges and 32 vertices...
icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because it includes all of the cells in the icosahedron's stellation...
stellation of the icosahedron. It appears in Magnus Wenninger's book Polyhedron Models as model 28, the third stellation of icosahedron. All 20 vertices...
faces that has been called the small triambicicosahedron. Alternatively, for the same form of the triakis icosahedron, the triples of coplanar isosceles...
not having a regular convex hull. It is the second stellation of the icosahedron, and given as Wenninger model index 23. It can be constructed by a rhombic...
The icosahedron and dodecahedron are dual to each other. The small stellated dodecahedron and great dodecahedron are dual to each other. The great stellated...
Schläfli symbol a{5⁄2,3} or c{3,5⁄2}, as an altered great stellated dodecahedron or converted greaticosahedron. Its circumradius is 3 2 {\textstyle {\frac {\sqrt...
compounds. This compound polyhedron is also a stellation of the regular icosahedron. It was first described by Edmund Hess in 1876. It can be seen as a faceting...
compounds. This polyhedron can be seen as either a stellation of the icosahedron or a compound. This compound was first described by Edmund Hess in 1876...
Eighth stellation of icosahedron Ih 34 Ninth stellation of icosahedronGreattriambicicosahedron Ih 35 Tenth stellation of icosahedron I 36 Eleventh stellation...
rhombic triacontahedron, the dodecadodecahedron. Great rhombic triacontahedron Greattriambicicosahedron Wenninger, Magnus (1983), Dual Models, Cambridge...
may refer to: W34 (nuclear warhead), an American nuclear bomb Greattriambicicosahedron Hansa-Brandenburg W.34, a German prototype floatplane Junkers...
dodecahedron's pentagons. Its dual, the medial triambicicosahedron, is a stellation of the icosahedron. It is topologically equivalent to a quotient space...
triacontahedron and dodecadodecahedron are dual to each other. The medial triambicicosahedron and ditrigonal dodecadodecahedron are dual to each other. The excavated...
of five cubes. As a simple polyhedron, it is also a hexakis truncated icosahedron where the triangles touching the pentagons are made coplanar, making...
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