List of books about polyhedra

This is a list of books about polyhedra

Books of cut-out kits for making card models

Jenkins, G. and Bear, M.; Advanced Polyhedra 1: The Final Stellation, Tarquin. ISBN 1899618619
Jenkins, G. and Bear, M.; Advanced Polyhedra 2: The Sixth Stellation, Tarquin. ISBN 1899618627
Jenkins, G. and Bear, M.; Advanced Polyhedra 3: The Compound of Five Cubes, Tarquin. ISBN 1899
Jenkins, G. and Wild, A.; Mathematical curiosities, Tarquin. ISBN 189961835X
Jenkins, G. and Wild, A.; More Mathematical curiosities, Tarquin. ISBN 1899618368
Jenkins, G. and Wild, A.; Make shapes 1, various editions, Tarquin. Simple convex and star polyhedra ISBN 0906212006
Jenkins, G. and Wild, A.; Make shapes 2, various editions, Tarquin. Convex and star polyhedra ISBN 0906212014
Jenkins, G. and Bear, M.; Paper Polyhedra in Colour, Tarquin. ISBN 1899618236

Smith, A.G.; Cut and assemble 3-D geometrical shapes: 10 models in full color, Dover (1986). Convex and star polyhedra.
Smith, A.G.; Cut and assemble 3-D star shapes, Dover (1997). Star polyhedra.
Smith, A.G.; Easy-to-make 3D shapes in full color, Dover (2000). Simple convex polyhedra.

Fuse, T.; Unit Origami: Multidimensional Transformations, Japan Publications (1990). ISBN 0870408526, ISBN 978-0870408526. Contains origami instructions to build many polyhedra. The shapes vary from simple to extremely complex. The book focuses on Origami and construction.

Gorham, J.; Crystal models: on the type of an ordinary plait, (1888). Reprint, Ed. Sharp, J., Tarquin (2007), also includes reprinted articles by Pargeter, R. and Brunton, J. ISBN 9781899618682

Hilton, P., Carlisle, P., Lewis, M. & Pedersen, J,; Build Your Own Polyhedra, Dale Seymour; 2nd edition (1994). ISBN 020149096X, ISBN 978-0201490961. Contains instructions for building the Platonic solids and other shapes using paper tape. The focus audience is teachers. Includes some mathematics.

Mitchell, D.; Mathematical origami: geometrical shapes and paper folding, Tarquin (1997). ISBN 9781899618187

Wenninger, M.; Polyhedron models for the classroom, pbk (1974)
Wenninger, M.; Polyhedron models, CUP hbk (1971), pbk (1974). Classic work giving instructions for all the uniform polyhedra and some stellations. Includes some basic theory.
Wenninger, M.; Spherical models, CUP. Includes some basic theory.
Wenninger, M.; Dual models, CUP hbk (1983), pbk (2003). Instructions for all the uniform dual polyhedra. Includes some theoretical discussion.

Britton, J.; Polyhedra Pastimes, Dale Seymore (2001). ISBN 0-7690-2782-2. An activity-based book for classroom use.
Cromwell, P.; Polyhedra, CUP hbk (1997), pbk. (1999).
Cundy, H.M. & Rollett, A.P.; Mathematical models, 1st Edn. hbk OUP (1951), 2nd Edn. hbk OUP (1961), 3rd Edn. pbk Tarquin (1981). ISBN 9780906212202 Classic text.
Holden; Shapes, space and symmetry, (1971), Dover pbk (1991).
Pearce, P and Pearce, S: Polyhedra primer, Van Nost. Reinhold (1979), ISBN 0-442-26496-8, ISBN 978-0-442-26496-3.
Ball, W.W.R. and Coxeter, H.S.M.; Mathematical recreations and essays, Dover, 13th Edn (1987). Editions up to the 10th were written by Ball. Chapter V provides an introduction to polyhedra.
Wachman, A. Burt, M. and Kleinmann, M.; Infinite polyhedra, Technion, 1st Edn. (1974), 2nd Edn. (2005). Pictorial and photographic representations.

John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5
Coxeter, H.S.M. DuVal, Flather & Petrie; The fifty-nine icosahedra, 3rd Edn. Tarquin.
Coxeter, H.S.M.; Twelve geometric essays (1968). Republished as The beauty of geometry: Twelve essays, Dover (1999). Almost half the essays discuss polyhedra or related topics.
Fejes Tóth, L.; Regular figures, Pergamon (1964).
Lakatos, I.; Proofs and Refutations, Cambridge University Press (1976) – Discussion of proofs of the Euler characteristic.
Hilton, P. and Pedersen, J.; A mathematical tapestry: demonstrating the beautiful unity of mathematics, Cambridge University Press (2010). ISBN 0521128218. About half the chapters discuss polyhedra and their relationships to other areas of mathematics.
Richeson, D.S.; Euler's Gem: The Polyhedron Formula and the Birth of Topology. Princeton University Press (2008).
Senechal, M. & Fleck, G. (Eds); Shaping Space a Polyhedral Approach, Birkhauser (1988), ISBN 0-8176-3351-0. Based on workshops and papers presented at the Shaping Space Conference, Smith College, April 1984.
Stewart, B.M.; Adventures among the toroids, self-published (1970).
Thompson, Sir D'A. W. On growth and form, (1943). (not sure if this is the right category for this one, I haven't read it).

Critchlow, K.; Order in space, Thames & Hudson (1969).
Pearce, P.; Structure in nature is a strategy for design, MIT (1978)
Williams, R.; Natural structure, Eudaemon (1972). 2nd Edition renamed The geometrical foundation of natural structure, Dover (1979). 3rd Edition renamed The Geometry of Natural Structure (40th Anniversary Edition), San Francisco: Eudaemon Press (2009).ISBN 978-0-9823465-1-8
- Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X.

Coxeter, H.S.M.; Regular Polytopes 3rd Edn. Dover (1973).
Coxeter, H.S.M.; Regular complex polytopes, CUP (1974).
Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6
Several more to add here.

Listed in chronological order

Plato; Timaeus (Greek). Includes a theory of matter based on polyhedra.
Euclid; Elements (Greek). Construction of the five regular solids.
Pacioli, L.; Divina proportione (1509) (Latin)
Jamnitzer, W.; Perspectiva Corporum Regularium (1568). Woodcuts of star polyhedra and other variations.
Kepler, J.; De harmonices Mundi (1691) (Latin). English translation: Harmonies of the World, translated by Wallis, C.G. (1939), reprinted Forgotten (2008)
Brückner, M.; Vielecke und Vielflache: Theorie und Geschichte, Treubner (1900). ISBN 978-1-4181-6590-1. (German). WorldCat English: Polygons and Polyhedra: Theory and History.
Brückner, M.; Uber die gleichecking-gleichflachigen, diskontinuierlichen und nichtkonvexen Polyheder, (1906). (German).