List of polyhedral stellations information

geometry of three dimensions, a stellation extends a polyhedron to form a new figure that is also a polyhedron. The following is a list of stellations of various...

edges lie in primary lines, the stellation is primary. All primary stellations are fully supported. Miller stellations. In "The Fifty-Nine Icosahedra"...

and stellation groupings. back to top back to top back to top List of uniform polyhedra The fifty nine icosahedra List of polyhedral stellations Wenninger...

extended the stellation theory beyond regular forms, and identified ten stellations of the icosahedron, including the complete stellation. Wheeler (1924)...

study of polyhedra. The Kepler–Poinsot polyhedra may be constructed from the Platonic solids by a process called stellation. Most stellations are not...

common to all members of the compound. This polyhedron can be used as the core for a set of stellations. A regular polyhedral compound can be defined...

constructed in various forms. Star polygon Stellation Polyhedral compound List of uniform polyhedra List of uniform polyhedra by Schwarz triangle Coxeter...

The edge lengths of the cube and the inscribed icosahedron are in the golden ratio. The icosahedron has a large number of stellations. Coxeter et al. (1938)...

uniform polyhedra, including the five regular convex polyhedra, five polyhedral compounds, four Kepler-Poinsot polyhedra, and thirteen Archimedean solids...

symbols of the zodiac. Each chapter includes four engravings of polyhedra, each showing six variations of the shape including some of their stellations and...

represented an innovative use of vector graphics and morphing. Physically, the Bit was represented within the movie by a blue polyhedral shape that alternated...

infinite set of truncated trapezohedra which can be constructed by truncating the two axial vertices of a pentagonal trapezohedron. The stellations of the regular...

roleplaying games, this solid is known as a "d8", one of the more common polyhedral dice. If each edge of an octahedron is replaced by a one-ohm resistor,...

octahedron. The cube is a special case of a parallelepiped, and the rhombic dodecahedron (with five stellations per Miller's rules) is the only Catalan...

The Final Stellation, ISBN 1-899618-61-9. Advanced Polyhedra 2: The Sixth Stellation, ISBN 1-899618-62-7. Advanced Polyhedra 3: The Compound of Five Cubes...

Neolithic people of Scotland represent these shapes; however, these balls have rounded knobs rather than being polyhedral, the numbers of knobs frequently...

bases of the cube results in degenerate digons as faces. Notes: Two of these polyhedra may be constructed from the first two snub polyhedra in the list starting...

Three of the four Kepler-Poinsot polyhedra Regular polyhedral compounds Regular 4-dimensional polytopes and some compounds Many stellations of the rhombic...

complex tessellation of Witting polytopes, also with 240 vertices. Each complex Witting polytope is made of Hessian polyhedral cells that have Möbius–Kantor...

the list of elementary homogeneous polyhedra", Ukrainskiĭ Geometricheskiĭ Sbornik (8): 139–156, MR 0326550. Skilling, J. (1975), "The complete set of uniform...

Geometriae Dedicata 47, 57-110, 1993. Zvi Har’El (Page 10, 5.2. Hemi polyhedra p p'|r.) Stella Polyhedral Glossary Versi-Regular Polyhedra in Visual Polyhedra...

symbol of the form p|q 2. The Platonic solids. The Kepler-Poinsot solids. Each edge is identical and each vertex is identical. There are two types of faces...

regular stellations. group [31,1,1]: contains only repeated members of the [3,3,4] family. (The groups are named in Coxeter notation.) Eight of the convex...