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The snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid. Download high resolution version (853x866, 121 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...
In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polygon meeting in identical vertices. ...
In algebraic topology, the Euler characteristic is a topological invariant (in fact, homotopy invariant) defined for a broad class of topological spaces. ...
In mathematics, the Schläfli symbol is a simple notation that gives a summary of some important properties of a particular regular polytope. ...
In geometry, a Wythoff construction is a method for constructing a uniform polyhedron. ...
// List of symmetry groups on the sphere Spherical symmetry groups are also called point groups (in 3D). ...
A uniform polyhedron is a polyhedron with regular polygons as faces and identical vertices. ...
Harold Scott MacDonald Donald Coxeter (February 9, 1907 - March 31, 2003) is regarded as one of the great geometers of the 20th century. ...
This table contains an indexed list of the Uniform and stellated polyhedra from the book Polyhedron Models, by Magnus J. Wenninger. ...
The Bowers style acronym or pet names are a short notation for refering to uniform polyhedron devised by Jonathan Bowers. ...
In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ...
A pentagonal hexecontahedron is a Catalan solid which looks a bit like an icosahedron undergoing cell division. ...
In geometry, a figure is chiral (and said to have chirality) if it is not identical to its mirror image, or more particularly if it cannot be mapped to its mirror image by rotations and translations alone. ...
Image File history File links Snub_dodecahedron_vertfig. ...
In polyhedral geometry a vertex configuration is a short-hand notation for representing a vertex as the sequence of faces around a vertex. ...
In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polygon meeting in identical vertices. ...
The snub dodecahedron has 92 faces, of which 12 are pentagons and the other 80 are equilateral triangles. It also has 150 edges, and 60 vertices. It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. In geometry, a pentagon is any five-sided polygon. ...
For alternate meanings, such as the musical instrument, see triangle (disambiguation). ...
In geometry, the mirror image of an object or two-dimensional figure is the virtual image formed by reflection in a plane mirror; it is of the same size as the original object, yet different, unless the object or figure has reflection symmetry (also known in the terminology of modern...
Chirality refers to several phenomena, all having to do with objects that differ from their mirror image. ...
Cartesian coordinates
Cartesian coordinates for the vertices of a snub dodecahedron are all the even permutations of Cartesian means relating to the French mathematician and philosopher Descartes, who, among other things, worked to merge algebra and Euclidean geometry. ...
In mathematics, the permutations of a finite set (i. ...
- (±2α, ±2, ±2β),
- (±(α+β/τ+τ), ±(-ατ+β+1/τ), ±(α/τ+βτ-1)),
- (±(-α/τ+βτ+1), ±(-α+β/τ-τ), ±(ατ+β-1/τ)),
- (±(-α/τ+βτ-1), ±(α-β/τ-τ), ±(ατ+β+1/τ)) and
- (±(α+β/τ-τ), ±(ατ-β+1/τ), ±(α/τ+βτ+1)),
with an even number of plus signs, where - α = ξ-1/ξ
and - β = ξτ+τ2+τ/ξ,
where τ = (1+√5)/2 is the golden mean and ξ is the real solution to ξ3-2ξ=τ, which is the horrible number This article is being considered for deletion in accordance with Wikipedias deletion policy. ...
![&# 0;= sqrt[3]{frac{tau}{2} + frac{1}{2}sqrt{tau - frac{5}{27}}} + sqrt[3]{frac{tau}{2} - frac{1}{2}sqrt{tau - frac{5}{27}}}](http://upload.wikimedia.org/math/1/5/9/159967f20c2df3f26365ea3651cfee6d.png) or approximately 1.7155615. Taking the odd permutations of the above coordinates with an odd number of plus signs gives another form, the enantiomorph of the other one. In mathematics, the permutations of a finite set (i. ...
Chirality refers to several phenomena, all having to do with objects that differ from their mirror image. ...
Geometric relations The snub dodecahedron can be generated by taking the twelve pentagonal faces of the dodecahedron, pulling them outward so they no longer touch. Then give them all a small rotation on their centers (all clockwise or all counter-clockwise) until the space between can be filled by triangles. A dodecahedron is literally a polyhedron with 12 faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve pentagonal faces, with three meeting at each vertex. ...
The snub dodecahedron should not be confused with the truncated dodecahedron. The truncated dodecahedron is an Archimedean solid. ...
 Image File history File links Snub_dodecahedron_flat. ...
See also hello Spinning snub dodecahedron (ccw), made by me using POV-Ray, see image:poly. ...
Spinning snub dodecahedron (ccw), made by me using POV-Ray, see image:poly. ...
The snub cube, or snub cuboctahedron, is an Archimedean solid. ...
External links - The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
- Irregular Snub Dodecahdron Wire Model Math Models, Vincent Herr
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