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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 ...
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.
C. Cantellation (geometry) Compound of cube and octahedron; Compound of eight octahedra with rotational freedom; Compound of eight triangular prisms
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 .
Stellated dodecahedron; Stellated octahedron; W. List of Wenninger polyhedron models This page was last edited on 12 August 2015, at 21:48 (UTC). ...
Construction of a stellated dodecagon: a regular polygon with Schläfli symbol {12/5}.. In geometry, stellation is the process of extending a polygon in two dimensions, a polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.
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