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Examples of modular origami made up of Sonobe units: an augmented icosahedron and an augmented octahedron, which require 30 and 12 units, respectively. Shuriken kusudama made from 12 Sonobe units The table below shows the correlation between three basic characteristics – faces, edges, and vertices – of polygons (composed of Toshie's Jewel ...
The stellated octahedron is the first iteration of the 3D analogue of a Koch snowflake. A compound of two spherical tetrahedra can be constructed, as illustrated. The two tetrahedra of the compound view of the stellated octahedron are "desmic", meaning that (when interpreted as a line in projective space ) each edge of one tetrahedron crosses ...
Great stellated dodecahedron: Dodecahedron: Stellated octahedron: Octahedron: Compound of five octahedra: Icosahedron: Compound of five tetrahedra: Icosahedron: Small triambic icosahedron: Icosahedron: Great triambic icosahedron: Icosahedron: Compound of five cubes: Rhombic triacontahedron: Compound of great icosahedron and great stellated ...
He stellated the regular dodecahedron to obtain two regular star polyhedra, the small stellated dodecahedron and the great stellated dodecahedron. He also stellated the regular octahedron to obtain the stella octangula , a regular compound of two tetrahedra.
It has a regular octahedron core, and shares the same 8 vertices with the cube. If the edge crossings were treated as their own vertices, the compound would have identical surface topology to the rhombic dodecahedron ; were face crossings also considered edges of their own the shape would effectively become a nonconvex triakis octahedron .
The octahedral and icosahedral dual compounds are the first stellations of the cuboctahedron and icosidodecahedron, respectively. The small stellated dodecahedral (or great dodecahedral) dual compound has the great dodecahedron completely interior to the small stellated dodecahedron.
This is an indexed list of the uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger. The book was written as a guide book to building polyhedra as physical models. It includes templates of face elements for construction and helpful hints in building, and also brief descriptions on the theory behind these shapes.
The small stellated dodecahedron and great ... The rhombic dodecahedron is a zonohedron with twelve rhombic faces and octahedral ... Origami Polyhedra ...
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