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
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.
- Errata
- 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.