# Isogonal Prismatoids

@article{Grnbaum1997IsogonalP, title={Isogonal Prismatoids}, author={Branko Gr{\"u}nbaum}, journal={Discrete \& Computational Geometry}, year={1997}, volume={18}, pages={13-52} }

Abstract. The study of the polyhedra (in Euclidean 3-space) in which faces may be self-intersecting polygons, and distinct faces may intersect in various ways, was quite fashionable about a century ago. The Kepler—Poinsot regular polyhedra, and several of their generalizations, were investigated about that time by Cayley, Wiener, Badoureau, Fedorov, Hess, Pitsch, and others; the accumulated wisdom was presented in Max Brückner's well-known book Vielecke und Vielflache in 1900. Despite the…

## 5 Citations

### Can Every Face of a Polyhedron Have Many Sides

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The simple question of the title has many different answers, depending on the kinds of faces we are willing to consider, on the types of polyhedra we admit, and on the symmetries we require. Known…

### The {4, 5} Isogonal Sponges on the Cubic Lattice

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A notation for labeling three-dimensional isogonal polyhedra is introduced and it is shown how this notation can be combinatorially used to find all of the isogsonal polyhedral shapes that can be created given a specific vertex star configuration.

### Max Brücknerʼs Wunderkammer of Paper Polyhedra

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In 1900 the German mathematician Max Brückner published a book with photographs of 146 amazing paper polyhedron models. While containing little that was cutting-edge mathematically and not produced…

### An Enduring Error

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Branko Grunbaum received his Ph.D. at the Hebrew University in Jerusalem, Israel, in 1957, after emigration with his family from Yugoslavia in 1949. Since then he held professorships at the Hebrew…

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