- Source: List of Wenninger polyhedron models
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. It contains the 75 nonprismatic uniform polyhedra, as well as 44 stellated forms of the convex regular and quasiregular polyhedra.
Models listed here can be cited as "Wenninger Model Number N", or WN for brevity.
The polyhedra are grouped in 5 tables: Regular (1–5), Semiregular (6–18), regular star polyhedra (20–22,41), Stellations and compounds (19–66), and uniform star polyhedra (67–119). The four regular star polyhedra are listed twice because they belong to both the uniform polyhedra and stellation groupings.
Platonic solids (regular convex polyhedra) W1 to W5
Archimedean solids (Semiregular) W6 to W18
Kepler–Poinsot polyhedra (Regular star polyhedra) W20, W21, W22 and W41
Stellations: models W19 to W66
= Stellations of octahedron
== Stellations of dodecahedron
== Stellations of icosahedron
== Stellations of cuboctahedron
== Stellations of icosidodecahedron
=Uniform nonconvex solids W67 to W119
See also
List of uniform polyhedra
The fifty nine icosahedra
List of polyhedral stellations
References
Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9.
Errata
In Wenninger, the vertex figure for W90 is incorrectly shown as having parallel edges.
Wenninger, Magnus (1979). Spherical Models. Cambridge University Press. ISBN 0-521-29432-0.
External links
Magnus J. Wenninger
Software used to generate images in this article:
Stella: Polyhedron Navigator Stella (software) - Can create and print nets for all of Wenninger's polyhedron models.
Vladimir Bulatov's Polyhedra Stellations Applet
Vladimir Bulatov's Polyhedra Stellations Applet packaged as an OS X application Archived 2016-03-04 at the Wayback Machine
M. Wenninger, Polyhedron Models, Errata: known errors in the various editions.
Kata Kunci Pencarian:
- List of Wenninger polyhedron models
- Polyhedron model
- Kepler–Poinsot polyhedron
- Stellation
- Polyhedron
- List of polyhedral stellations
- Geodesic polyhedron
- Uniform polyhedron
- Magnus Wenninger
- List of uniform polyhedra