List of books about polyhedra

This is a list of books about polyhedra.

Polyhedral models

Cut-out kits

• Jenkins, Gerald; Bear, Magdalen (1998). Paper Polyhedra in Colour. Tarquin. ISBN 1-899618-23-6. Advanced Polyhedra 1: The Final Stellation, ISBN 1-899618-61-9. Advanced Polyhedra 2: The Sixth Stellation, ISBN 1-899618-62-7. Advanced Polyhedra 3: The Compound of Five Cubes, ISBN 978-1-899618-63-7.[1]
• Jenkins, Gerald; Wild, Anne (2000). Mathematical Curiosities. Tarquin. ISBN 1-899618-35-X. More Mathematical Curiosities, Tarquin, ISBN 1-899618-36-8. Make Shapes 1, ISBN 0-906212-00-6. Make Shapes 2, ISBN 0-906212-01-4.
• Smith, A. G. (1986). Cut and Assemble 3-D Geometrical Shapes: 10 Models in Full Color. Dover. Cut and Assemble 3-D Star Shapes, 1997. Easy-To-Make 3D Shapes in Full Color, 2000.
• Torrence, Eve (2011). Cut and Assemble Icosahedra: Twelve Models in White and Color. Dover.

Origami

• Fuse, Tomoko (1990). Unit Origami: Multidimensional Transformations. Japan Publications. ISBN 978-0-87040-852-6.[2]
• Gurkewitz, Rona; Arnstein, Bennett (1996). 3D Geometric Origami: Modular Origami Polyhedra. Dover. ISBN 9780486135601.[3] Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality, 2002.[4] Beginner's Book of Modular Origami Polyhedra: The Platonic Solids, 2008. Modular Origami Polyhedra, also with Lewis Simon, 2nd ed., 1999.[5]
• Mitchell, David (1997). Mathematical Origami: Geometrical Shapes by Paper Folding. Tarquin. ISBN 978-1-899618-18-7.[6]
• Montroll, John (2009). Origami Polyhedra Design. A K Peters. ISBN 9781439871065.[7] A Plethora of Polyhedra in Origami, Dover, 2002.[8]

Other model-making

• Cundy, H. M.; Rollett, A. P. (1952). Mathematical Models. Clarendon Press. 2nd ed., 1961. 3rd ed., Tarquin, 1981, ISBN 978-0-906212-20-2.[9]
• Hilton, Peter; Pedersen, Jean (1988). Build Your Own Polyhedra. Addison-Wesley.[10]
• Wenninger, Magnus (1971). Polyhedron Models. Cambridge University Press. 2nd ed., Polyhedron Models for the Classroom, 1974.[11] Spherical Models, 1979.[12] Dual Models, 1983.[13]

Mathematical studies

Introductory level and general audience

• Akiyama, Jin; Matsunaga, Kiyoko (2024). Treks into Intuitive Geometry: The World of Polygons and Polyhedra (2nd ed.). Singapore: Springer. ISBN 978-981-99-8607-1.[14]
• Alsina, Claudi (2017). The Thousand Faces of Geometric Beauty: The Polyhedra. Our Mathematical World. Vol. 23. National Geographic. ISBN 978-84-473-8929-2.
• Britton, Jill (2001). Polyhedra Pastimes. Dale Seymour Publishing. ISBN 0-7690-2782-2.[15]
• Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press.[16]
• Fetter, Ann E. (1991). The Platonic Solids Activity Book. Key Curriculum Press.[17]
• Holden, Alan (1971). Shapes, Space and Symmetry. Dover, 1991.[18]
• le Masne, Roger (2013). Les polyèdres, ou la beauté des mathématiques (in French) (4th ed.). Self-published.[19]
• Miyazaki, Koji (1983). Katachi to kūkan: Tajigen sekai no kiseki (in Japanese). Wiley. Translated into English as An Adventure in Multidimensional Space: The Art and Geometry of Polygons, Polyhedra, and Polytopes, Wiley, 1986, and into German as Polyeder und Kosmos: Spuren einer mehrdimensionalen Welt, Vieweg, 1987.[20]
• Pearce, Peter; Pearce, Susan (1979). Polyhedra Primer. Van Nostrand Reinhold. ISBN 978-0-442-26496-3.[21]
• Pugh, Anthony (1976). Polyhedra: A Visual Approach. University of California Press.[22]
• Radin, Dan (2008). The Platonic Solids Book. Self-published.[23]
• Sutton, Daud (2002). Platonic & Archimedean Solids: The Geometry of Space. Wooden Books. ISBN 978-0802713865.[24]

Textbooks

• Alexandrov, A. D. (2005). Convex Polyhedra. Springer. Translated from 1950 Russian edition.[25]
• Beck, Matthias; Robins, Sinai (2007). Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra. Undergraduate Texts in Mathematics. Vol. 154. Springer. 2nd ed., 2015, ISBN 978-1-4939-2968-9.[26]
• Brøndsted, Arne (1983). An Introduction to Convex Polytopes. Graduate Texts in Mathematics. Vol. 90. Springer.[27]
• Coxeter, H. S. M. (1948). Regular Polytopes. Methuen. 2nd ed., Macmillan, 1963. 3rd ed., Dover, 1973.[28]
• Fejes Tóth, László (1964). Regular Figures. Pergamon.[29]
• Grünbaum, Branko (1967). Convex Polytopes. Wiley. 2nd ed., Springer, 2003.[30]
• Lyusternik, Lazar (1956). Выпуклые фигуры и многогранники (in Russian). Gosudarstv. Izdat. Tehn.-Teor. Lit. Translated into English as Convex Figures and Polyhedra by T. Jefferson Smith, Dover, 1963 and by Donald L. Barnett, Heath, 1966.[31]
• Roman, Tiberiu (1968). Reguläre und halbreguläre Polyeder [Regular and semiregular polyhedra] (in German). VEB Deutscher Verlag der Wissenschaften.[32]
• Thomas, Rekha (2006). Lectures in Geometric Combinatorics. American Mathematical Society.[33]
• Ziegler, Günter M. (1993). Lectures on Polytopes. Springer.[34]

Monographs and special topics

• Coxeter, H. S. M.; du Val, P.; Flather, H. T.; Petrie, J. F. (1938). The Fifty-Nine Icosahedra. University of Toronto Studies, Mathematical Series. Vol. 6. University of Toronto Press. 2nd ed., Springer, 1982. 3rd ed., Tarquin, 1999.[35]
• Coxeter, H. S. M. (1974). Regular Complex Polytopes. Cambridge University Press. 2nd ed., 1991.[36]
• Demaine, Erik; O'Rourke, Joseph (2007). Geometric Folding Algorithms: Linkages, Origami, Polyhedra. Cambridge University Press.[37]
• Deza, Michel; Grishukhin, Viatcheslav; Shtogrin, Mikhail (2004). Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes and ${\displaystyle \mathbb {Z} _{n}}$. London: Imperial College Press. doi:10.1142/9781860945489. ISBN 1-86094-421-3.[38]
• Lakatos, Imre (1976). Proofs and Refutations: The Logic of Mathematical Discovery. Cambridge University Press.[39]
• McMullen, Peter (2020). Geometric Regular Polytopes. Encyclopedia of Mathematics and its Applications. Vol. 172. Cambridge University Press.[40]
• McMullen, Peter; Schulte, Egon (2002). Abstract Regular Polytopes. Encyclopedia of Mathematics and its Applications. Vol. 92. Cambridge University Press.[41]
• McMullen, Peter; Shephard, G. C. (1971). Convex Polytopes and the Upper Bound Conjecture. London Mathematical Society Lecture Note Series. Vol. 3. Cambridge University Press.[42]
• Nef, Walter (1978). Beiträge zur Theorie der Polyeder: Mit Anwendungen in der Computergraphik [Contributions to the theory of the polyhedron, with applications in computer graphics] (in German). Herbert Lang.[43]
• Rajwade, A. R. (2001). Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. Vol. 21. Hindustan Book Agency.[44]
• Richter-Gebert, Jürgen (1996). Realization Spaces of Polytopes. Lecture Notes in Mathematics. Vol. 1643. Springer.[45]
• Stewart, B. M. (1970). Adventures Among the Toroids. Self-published. 2nd ed., 1980.[46]
• Wachman, Avraham; Burt, Michael; Kleinmann, M. (1974). Infinite Polyhedra. Technion. 2nd ed., 2005.[47]
• Wu, Wen-tsün (1965). A Theory of Imbedding, Immersion, and Isotopy of Polytopes in a Euclidean Space. Science Press.[48]
• Zalgaller, Viktor A. (1969). Convex Polyhedra with Regular Faces. Consultants Bureau. Translated and corrected from Zalgaller, V. A. (1967). Выпуклые многогранники с правильными гранями. Zapiski Naučnyh Seminarov Leningradskogo Otdelenija Matematičeskogo Instituta im. V. A. Steklova Akademii Nauk SSSR (LOMI) (in Russian). Vol. 2. Nauka.[49]
• Zhizhin, Gennadiy Vladimirovich (2022). The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems. Advances in Chemical and Materials Engineering. IGI Global. ISBN 9781799883760.

Edited volumes

• Avis, David; Bremner, David; Deza, Antoine, eds. (2009). Polyhedral Computation. CRM Proceedings and Lecture Notes. Vol. 48. American Mathematical Society.
• Gabriel, Jean-François, ed. (1997). Beyond the Cube: The Architecture of Space Frames and Polyhedra. Wiley.[50]
• Kalai, Gil; Ziegler, Günter M., eds. (2012). Polytopes - Combinatorics and Computation. DMV Seminar. Vol. 29. Springer.
• Senechal, Marjorie; Fleck, G., eds. (1988). Shaping Space: A Polyhedral Approach. Birkhauser. ISBN 0-8176-3351-0. 2nd ed., Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination, Springer, 2013.[51]

History

Early works

Listed in chronological order, and including some works shorter than book length:

• Plato. Timaeus (in Greek).
• Euclid. Elements (in Greek).
• Pappus of Alexandria (1589). Mathematicae collectiones, liber quintus. apud Franciscum de Franciscis Senensem.
• Della Francesca, Piero (1482–1492). De quinque corporibus regularibus [On the five regular bodies] (in Latin).
• Pacioli, Luca (1509). Divina proportione [Divine proportion] (in Italian).
• de Bovelles, Charles (1511). De mathematicis corporibus.[52]
• Dürer, Albrecht (1525). Underweysung der Messung, mit dem Zirckel und Richtscheyt, in Linien, Ebenen und gantzen corporen, Viertes Buch (in German).
• Maurolico, Francesco (1537). Compaginationes solidorum regularium.[53]
• Jamnitzer, Wenzel (1568). Perspectiva corporum regularium [Perspectives of the regular bodies].
• Kepler, Johannes (1619). Harmonices Mundi (in Latin). Translated into English as Harmonies of the World by C. G. Wallis (1939).
• Descartes, René (c. 1630). De solidorum elementis [On the elements of solids] (in Latin). Original manuscript lost; copy by Gottfried Wilhelm Leibniz reprinted and translated in Descartes on Polyhedra, Springer, 1982.
• Cowley, John Lodge (1758). An Appendix to Euclid's Elements in Seven Books, Containing Forty-two Copper-plates, In Which the Doctrine of Solids, Delivered in the XIth, XIIth, and XVth Books of Euclid, is Illustrated by New-invented Schemes Cut Out of Paste-Board. Watkins.
• Poinsot, Louis (1810). Mémoire sur les polygones et sur les polyèdres (in French).
• Marie, François-Charles-Michel (1835). Géométrie stéréographique, ou reliefs des polyèdres (in French). Paris. hdl:2027/ucm.531073766x.
• Schläfli, Ludwig (1901) [1852]. Graf, J. H. (ed.). Theorie der vielfachen Kontinuität. Republished by Cornell University Library historical math monographs 2010 (in German). Zürich, Basel: Georg & Co. ISBN 978-1-4297-0481-6.
• Wiener, Christian (1864). Über Vielecke und Vielflache. Teubner.
• Catalan, Eugène (1865). "Mémoire sur la théorie des polyèdres". Journal de l'École Polytechnique (in French). 24. hdl:2268/194785.
• Klein, Felix (1884). Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom 5ten Grade [Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree] (in German).
• Fedorov, E. S. (1885). Начала учения о фигурах [Introduction to the Theory of Figures] (in Russian).[54]
• Gorham, John (1888). A System for the Construction of Crystal Models on the Type of an Ordinary Plait: Exemplified by the Forms Belonging to the Six Axial Systems in Crystallography. Reprint, Tarquin, 2007, ISBN 978-1-899618-68-2.
• Eberhard, Victor (1891). Zur Morphologie der Polyeder [On the morphology of polyhedra]. Teubner.[55]
• von Lindemann, Ferdinand (1897). Zur Geschichte der Polyeder und der Zahlzeichen [History of Polyhedra and Numeral Signs] (in German). Munich: F. Straub. Reprinted from Sitz. Bay. Akad. Wiss. 1896, pp. 625–758.
• Brückner, Max (1900). Vielecke und Vielflache: Theorie und Geschichte (in German). Treubner. Über die gleicheckig-gleichflächigen diskontinuierlichen und nichtkonvexen Polyeder, 1906.
• Steinitz, Ernst (1934). Rademacher, Hans (ed.). Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie (in German).

Books about historical topics

• Andrews, Noam (2022). The Polyhedrists: Art and Geometry in the Long Sixteenth Century. MIT Press.[56]
• Davis, Margaret Daly (1977). Piero della Francesca's Mathematical Treatises: The "Trattato d'abaco" and "Libellus de quinque corporibus regularibus". Longo.[57]
• Dézarnaud-Dandine, Christine; Sevin, Alain (2009). Histoire des polyèdres: Quand la nature est géomètre (in French). Vuibert.
• Federico, Pasquale Joseph (1984). Descartes on Polyhedra: A Study of the "De solidorum elementis". Sources in the History of Mathematics and Physical Sciences. Vol. 4. Springer.[58]
• Richeson, D. S. (2008). Euler's Gem: The Polyhedron Formula and the Birth of Topology. Princeton University Press.[59]
• Sanders, Philip Morris (1990). The Regular Polyhedra in Renaissance Science and Philosophy. Warburg Institute, University of London.
• Wade, David (2012). Fantastic Geometry: Polyhedra and the Artistic Imagination in the Renaissance. Squeeze Press.[60]

References

1. Neal, David (March 1987). "Tarquin Polyhedra (review of Paper Polyhedra in Colour)". Mathematics in School. 16 (2): 47. JSTOR 30214199.
2. "Science News Books". Science News. 144 (21): 335–350. November 20, 1993. JSTOR 3977680. Includes a brief review of Unit Origami: Multidimensional Transformations on p. 350.
3. Reviews of 3D Geometric Origami: Modular Origami Polyhedra:
   • Plummer, Robert (December 1996). The Mathematics Teacher. 89 (9): 782. JSTOR 27970022.
   • Barnette, David (1997). Mathematical Reviews. MR 1375920.
   • Cannon, Mary Ellen (May 1997). Mathematics Teaching in the Middle School. 2 (6): 444–445. JSTOR 41181638.
   • Blackwell, Joan (March 1999). "Review". School Science and Mathematics. 99 (3). Wiley: 160. doi:10.1111/j.1949-8594.1999.tb17467.x. ProQuest 195202376.
4. Reviews of Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality:
   • Murphey, Bonnie (January 2004). Mathematics Teaching in the Middle School. 9 (5): 288. JSTOR 41181919.
   • Kessler, Charlotte (January 2004). The Mathematics Teacher. 97 (1): 78. JSTOR 20871510.
5. Reviews of Modular Origami Polyhedra (2nd ed.):
   • Böhm, Johannes. zbMATH. Zbl 1059.00005.
   • Johnston, Christopher (September 2002). Mathematics Teaching in the Middle School. 8 (1): 59, 62. JSTOR 41181231.
6. Ollerton, Mike (January 1998). "Review of Mathematical Origami: Geometrical Shapes by Paper Folding". Mathematics in School. 27 (1): 47. JSTOR 30211857.
7. Reviews of Origami Polyhedra Design:
   • Hagedorn, Thomas R. (April 2010). "Review". MAA Reviews. Mathematical Association of America.
   • Luck, Gary S. (March 2011). The Mathematics Teacher. 104 (7): 558. JSTOR 20876948.
   • Thomas, Rachel (December 2009). "Review". Plus Magazine.
8. Short, Martha (March 2003). "Review of A Plethora of Polyhedra in Origami". Mathematics Teaching in the Middle School. 8 (7): 380, 382. JSTOR 41181848.
9. Reviews of Mathematical Models:
   • Goldberg, M. "Review of 1st ed". Mathematical Reviews. MR 0049560.
   • Müller, H. R. "Review of 1st ed". zbMATH (in German). Zbl 0047.38807. 2nd ed., Zbl 0095.38001.
   • ter Haar, D. (March 1953). "Briefly reviewed (review of 1st ed.)". The Scientific Monthly. 76 (3): 188–189. JSTOR 20668.
   • Stone, Abraham (April 1953). "Review of 1st ed". Scientific American. 188 (4): 110. JSTOR 24944205.
   • Dorrington, B. J. F. (September 1953). "Review of 1st ed". The Mathematical Gazette. 37 (321): 223. doi:10.2307/3608314. JSTOR 3608314.
   • Ogilvy, C. Stanley (November 1959). "Review of 1st ed". The Mathematics Teacher. 52 (7): 577–578. JSTOR 27956015.
   • Coxeter, H. S. M. (December 1962). "Review of 2nd ed". The Mathematical Gazette. 46 (358): 331. doi:10.2307/3611791. JSTOR 3611791.
10. Reviews of Build Your Own Polyhedra:
    • Schmidt, Don (February 1989). The Mathematics Teacher. 82 (2): 145. JSTOR 27966155.
    • Leiva, Miriam A. (April 1989). The Arithmetic Teacher. 36 (8): 58–59. JSTOR 41193678.
    • Jacob, Wiliam (October 1994). The Mathematics Teacher. 87 (7): 572. JSTOR 27969009.
    • Provost, Mary D. (September–October 1995). Mathematics Teaching in the Middle School. 1 (6): 497–498. JSTOR 41181482.
11. Reviews of Polyhedron Models:
    • Peak, Philip (May 1972). "Review of 1st ed". The Mathematics Teacher. 65 (5): 446. JSTOR 27958940.
    • Harker, David (May 12, 1972). "Planes, solids, and nolids". Science. New Series. 176 (4035): 653–655. JSTOR 1734491.
    • Quadling, D. A. (October 1972). "Review of 1st ed". The Mathematical Gazette. 56 (397): 256. doi:10.2307/3617024. JSTOR 3617024.
    • Loeb, Arthur L. (Winter 1974). "Review of 1st ed". Leonardo. 7 (1): 82–83. doi:10.2307/1572763. JSTOR 1572763.
    • Ando, Masue (October 1976). "Review of 2nd ed". The Arithmetic Teacher. 23 (6): 449. JSTOR 41189041.
    • Bristol, James D. (December 1976). "Review of 2nd ed". The Mathematics Teacher. 69 (8): 698. JSTOR 27960686.
12. Reviews of Spherical Models:
    • Coxeter, H. S. M. (May–June 1980). American Scientist. 68 (3): 342. JSTOR 27849921.
    • Ede, J. D. (March 1981). The Mathematical Gazette. 65 (431): 65. doi:10.2307/3617955. JSTOR 3617955.
    • Brisson, David W. (Winter 1982). Leonardo. 15 (1): 83. doi:10.2307/1574381. JSTOR 1574381.
13. Reviews of Dual Models:
    • Ede, J. D. (December 1984). The Mathematical Gazette. 68 (446): 307. doi:10.2307/3616168. JSTOR 3616168.
    • Senechal, Marjorie (March–April 1985). American Scientist. 73 (2): 205. JSTOR 27853201.
14. Reviews of Treks into Intuitive Geometry: The World of Polygons and Polyhedra (1st ed.):
    • Jacquemet, Matthieu. zbMATH. Zbl 1339.52001.
    • Brown, Tricia Muldoon (April 2016). "Review". MAA Reviews. Mathematical Association of America.
    • Fox, Michael (October 2017). The Mathematical Gazette. 101 (552): 565–568. doi:10.1017/mag.2017.164. S2CID 125467238.
15. Callahan, Deborah D. (September 2002). "Review of Polyhedra Pastimes". Mathematics Teaching in the Middle School. 8 (1): 64. JSTOR 41181235.
16. Reviews of Polyhedra:
    • Bending, Thomas (March 1999). The Mathematical Gazette. 83 (496): 178–179. doi:10.2307/3618744. JSTOR 3618744. S2CID 165718030.
    • Böhm, J. zbMATH. Zbl 0888.52012.
    • Casselman, Bill (September 1998). "Review" (PDF). Notices of the American Mathematical Society. 45 (8): 978–980.
    • Grabiner, Judith V. (December 1998). Isis. 89 (4): 714–715. doi:10.1086/384173. JSTOR 236751.
    • McMullen, Peter (1998). Mathematical Reviews. MR 1458063.
    • Sandifer, Ed (February 1999). "Review". MAA Reviews. Mathematical Association of America.
17. Hayek, Linda M. (April 1994). "Review of The Platonic Solids Activity Book". The Mathematics Teacher. 87 (4): 298. JSTOR 27968850.
18. Reviews of Shapes, Space and Symmetry:
    • Morrison, Philip (March 1972). Scientific American. 226 (3): 124–125. JSTOR 24927303.
    • Peak, Philip (May 1972). The Mathematics Teacher. 65 (5): 447. JSTOR 27958944.
    • Harker, David (May 12, 1972). "Planes, solids, and nolids". Science. New Series. 176 (4035): 653–655. JSTOR 1734491.
    • Hersee, John (December 1972). The Mathematical Gazette. 56 (398): 338–339. doi:10.2307/3617853. JSTOR 3617853.
    • Moser, William (Winter 1973). Leonardo. 6 (1): 79. doi:10.2307/1572445. JSTOR 1572445.
    • Ayoub, Ayoub B. (September 1992). The Mathematics Teacher. 85 (6): 494. JSTOR 27967736.
    • Becker, Glenn (January 2016). "Review". MAA Reviews. Mathematical Association of America.
19. Reviews of Les polyèdres:
    • Pogoda, Zdzisław. Mathematical Reviews. MR 3088661.
    • Moreau, Jean (April 2010). "Review". La Jaune et La Rouge (in French). Vol. 654.
20. Grünbaum, Branko (January–February 1988). "Review of An Adventure in Multidimensional Space". American Scientist. 76 (1): 94–95. JSTOR 27855044.
21. Reviews of Polyhedra Primer:
    • McMullen, P. zbMATH. Zbl 0438.52006.
    • Gehringer, Joseph H. (May 1979). The Mathematics Teacher. 72 (5): 392. JSTOR 27961686.
    • Pedersen, Jean J. (August–September 1980). American Mathematical Monthly. 87 (7): 586–589. doi:10.2307/2321449. JSTOR 2321449.
    • Leonardo. 14 (1): 78. Winter 1981. doi:10.2307/1574520. JSTOR 1574520.
    • Thakare, N. K. (July–December 2015). "Review" (PDF). The Mathematics Student. 84 (3–4): 177.
    • Schulte, Tom (January 2016). "Review". MAA Reviews.
22. Coxeter, H. S. M. "Review of Polyhedra: A Visual Approach". Mathematical Reviews. MR 0451161.
23. Ashbacher, Charles (November 2008). "Review of The Platonic Solids Book". MAA Reviews. Mathematical Association of America.
24. Hoehn, Larry (February 2003). "Publications". The Mathematics Teacher. 96 (2): 154. doi:10.5951/MT.96.2.0154. JSTOR 20871261. Review of three books including Platonic & Archimedean Solids.
25. Reviews of Convex Polyhedra:
    • Busemann, H. "Review of Russian ed". Mathematical Reviews. MR 0040677.
    • Kaloujnine, L. "Review of Russian ed". zbMATH (in German). Zbl 0041.50901.
    • Connelly, Robert (March 2006). "Review of translation" (PDF). SIAM Review. 48 (1): 157–160. doi:10.1137/SIREAD000048000001000149000001. JSTOR 20453762.
    • Gorkaviy, Vasyl. "Review of translation". zbMATH. Zbl 1067.52011.
    • Ruane, P. N. (November 2006). "Review of translation". The Mathematical Gazette. 90 (519): 557–558. doi:10.1017/S002555720018074X. JSTOR 40378241. S2CID 125888789.
26. Reviews of Computing the Continuous Discretely:
    • Bayer, Margaret M. "Review of 1st ed". zbMATH. Zbl 1114.52013.
    • De Loera, Jesús A. (2007). "Review of 1st ed". Mathematical Reviews. MR 2271992.
    • Glass, Darren (February 2007). "Review of 1st ed". MAA Reviews. Mathematical Association of America.
    • Karpenkov, Oleg. "Review of 2nd ed". zbMATH. Zbl 1339.52002.
27. Reviews of An Introduction to Convex Polytopes:
    • Weinstein, J. zbMATH. Zbl 0509.52001.
    • Barnette, D. (1984). Mathematical Reviews. MR 0683612.
    • Anderson, Ian (June 1984). The Mathematical Gazette. 68 (444): 146–147. doi:10.2307/3615937. JSTOR 3615937.
    • Sallee, G. T. (March 1985). SIAM Review. 27 (1): 123–124. doi:10.1137/1027044. JSTOR 2031522.
    • Lee, Carl W. (November 1986). The American Mathematical Monthly. 93 (9): 750–752. doi:10.2307/2322309. JSTOR 2322309.
28. Reviews of Regular Polytopes:
    • Goldberg, M. "Review of 1st ed". Mathematical Reviews. MR 0027148.
    • Fejes Tóth, L. "Review of 1st ed". zbMATH. Zbl 0031.06502.
    • Cundy, H. Martyn (February 1949). "Review of 1st ed". The Mathematical Gazette. 33 (303): 47–49. doi:10.2307/3608432. JSTOR 3608432.
    • Allendoerfer, C. B. (July 1949). "Review of 1st ed". Bulletin of the American Mathematical Society. 55 (7): 721–723. doi:10.1090/s0002-9904-1949-09258-3.
    • Miller, J. C. P. (July 1949). "Review of 1st ed". Science Progress. 37 (147): 563–564. JSTOR 43413146.
    • Walsh, J. L. (August 1949). "Review of 1st ed". Scientific American. 181 (2): 58–59. JSTOR 24967260.
    • Frueh, A. J. Jr. (November 1950). "Review of 1st ed". The Journal of Geology. 58 (6): 672. doi:10.1086/625793. JSTOR 30071213.
    • Wolfe, H. E. (February 1951). "Review of 1st ed". American Mathematical Monthly. 58 (2): 119–120. doi:10.2307/2308393. JSTOR 2308393.
    • Robinson, G. de B. "Review of 2nd ed". Mathematical Reviews. MR 0151873.
    • Goldberg, Michael (January 1964). "Review of 2nd ed". Mathematics of Computation. 18 (85): 166. doi:10.2307/2003446. JSTOR 2003446.
    • Yff, P. (February 1965). "Review of 2nd ed". Canadian Mathematical Bulletin. 8 (1): 124. doi:10.1017/s0008439500024413.
    • Peak, Philip (March 1975). "Review of 3rd ed". The Mathematics Teacher. 68 (3): 230. JSTOR 27960095.
    • Wenninger, Magnus J. (Winter 1976). "Review of 3rd ed". Leonardo. 9 (1): 83. doi:10.2307/1573335. JSTOR 1573335.
    • Brown, Tricia Muldoon (October 2016). "Review of 3rd ed". MAA Reviews. Mathematical Association of America.
29. Reviews of Regular Figures:
    • Sherk, F. A. Mathematical Reviews. MR 0165423.
    • Florian, A. zbMATH. Zbl 0134.15705.
    • Coxeter, H. S. M. (December 4, 1964). "Geometry". Science. New Series. 146 (3649): 1288. doi:10.1126/science.146.3649.1288. JSTOR 1714987.
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30. Reviews of Convex Polytopes:
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31. Reviews of Convex Figures and Polyhedra:
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    • Kazarinoff, N. D. "Review of Smith translation". MathSciNet. MR 0161219.
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32. Jucovič, E. "Review of Reguläre und halbreguläre Polyeder". MathSciNet (in German). MR 0248605.
33. Reviews of Lectures in Geometric Combinatorics:
    • Bóna, Miklós (April 2007). "Review". MAA Reviews. Mathematical Association of America.
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34. Reviews of Lectures on Polytopes:
    • Böhm, J. zbMATH. Zbl 0823.52002.
    • Bayer, Margaret M. (1996). MathSciNet. MR 1311028.
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35. Reviews of The Fifty-Nine Icosahedra:
    • Bottema, O. zbMATH. Zbl 0019.13502.
    • Miller, J. C. P. (February 1939). The Mathematical Gazette. 23 (253): 105–107. doi:10.2307/3605992. JSTOR 3605992.
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36. Reviews of Regular Complex Polytopes:
    • Jucovič, E. "Review of 1st ed". zbMATH. Zbl 0296.50009.
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37. Reviews of Geometric Folding Algorithms:
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38. Reviews of Scale-Isometric Polytopal Graphs:
    • Dawson, Robert. zbMATH. Zbl 1054.52007.
    • Ding, Ren (2005). MathSciNet. MR 2051396.
39. Reviews of Proofs and Refutations:
    • Berg, Michael (June 2012). "Review". MAA Reviews. Mathematical Association of America.
    • De Keyser, F. (December 1977). Tijdschrift voor Filosofie. 39 (4): 715. JSTOR 40884110.
    • Ernest, Paul. MathSciNet. MR 0479916.
    • Gasarch, William (December 2001). ACM SIGACT News. 32 (4): 6–8. doi:10.1145/568425.568428. S2CID 34342078.
    • Hart, W. D. (April 1978). Mind. New Series. 87 (346): 314–316. doi:10.1093/mind/LXXXVII.2.314. JSTOR 2253443.
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    • Kitcher, Philip (May 13, 1977). "On the uses of rigorous proof". Science. New Series. 196 (4291): 782–783. doi:10.1126/science.196.4291.782. JSTOR 1745123. PMID 17776902.
    • Kneebone, G. T. zbMATH. Zbl 0334.00022.
    • Lenoir, Timothy (February 1981). Historia Mathematica. 8 (1): 99–104. doi:10.1016/0315-0860(81)90016-1.
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    • Quadling, D. A. (June 1977). The Mathematical Gazette. 61 (416): 145–146. doi:10.2307/3616424. JSTOR 3616424.
    • Quine, W. V. (March 1977). The British Journal for the Philosophy of Science. 28 (1): 81–82. doi:10.1093/bjps/28.1.81. JSTOR 686451.
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    • Satzer, William J. (April 2016). "Review". MAA Reviews. Mathematical Association of America.
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40. Review of Geometric Regular Polytopes:
    • Sahoo, Uma Kant. zbMATH. Zbl 1454.51002.
41. Reviews of Abstract Regular Polytopes:
    • Hartley, Michael Ian. zbMATH. Zbl 1039.52011.
    • Martini, Horst (August 2003). Bulletin of the London Mathematical Society. 35 (5): 711–712. doi:10.1112/s0024609303219330.
    • Živaljević, Rade (2004). MathSciNet. MR 1965665.
42. Reviews of Convex Polytopes and the Upper Bound Conjecture:
    • Coxeter, H. S. M. Mathematical Reviews. MR 0301635.
    • Schneider, R. zbMATH. Zbl 0217.46702.
43. Hertel, E. "Review of Beiträge zur Theorie der Polyeder". MathSciNet (in German). MR 0500548.
44. Reviews of Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem:
    • do Rosário Pinto, Maria. zbMATH. Zbl 1030.52012.
    • Hertel, E. (2003). Mathematical Reviews. MR 1891668.
45. Reviews of Realization Spaces of Polytopes:
    • McMullen, P. zbMATH. Zbl 0866.52009.
    • Bayer, Margaret M. (1999). Mathematical Reviews. MR 1482230.
46. Reviews of Adventures Among the Toroids:
    • Coxeter, H. S. M. "Review of 1st ed". Mathematical Reviews. MR 0275266.
    • Coxeter, H. S. M. (1982). "Review of 2nd ed". Mathematical Reviews. MR 0588511.
    • Crapo, Henry (1980). "Review of 2nd ed" (PDF). Structural Topology. 5: 45–48.
    • "Review of 1st ed". zbMATH (in German). Zbl 0214.47703.
    • "Review of 2nd ed". zbMATH. Zbl 0443.52005.
47. Wenninger, Magnus J. (Spring 1976). "Review of Infinite Polyhedra". Leonardo. 9 (2): 158. doi:10.2307/1573140. JSTOR 1573140.
48. Reviews of A Theory of Imbedding, Immersion, and Isotopy of Polytopes in a Euclidean Space:
    • Larmore, L. Mathematical Reviews. MR 0215305.
    • Freudenthal, Hans. zbMATH. Zbl 0177.26402.
49. Review of Convex Polyhedra with Regular Faces:
    • Pogorelov, A. V. "Review of Russian ed". Mathematical Reviews. MR 0227860.
50. Chilton, J. C. (April 2000). "Review of Beyond the Cube". Journal of the International Association for Shell and Spatial Structures. 41 (1): 132.
51. Reviews of Shaping Space:
    • Lichtenberg, Donovan R. (December 1988). "Review of 1st ed". The Mathematics Teacher. 81 (9): 757. JSTOR 27966054.
    • Crowe, Donald W. (January–February 1989). "Review of 1st ed". American Scientist. 77 (1): 72. JSTOR 27855558.
    • Karaali, Gizem (December 2013). "Review of 2nd ed". MAA Reviews. Mathematical Association of America.
52. Sanders, P. M. (1984). "Charles de Bovelles's treatise on the regular polyhedra (Paris, 1511)". Annals of Science. 41 (6): 513–566. doi:10.1080/00033798400200401. MR 0780985.
53. Friedman, Michael (2018). A History of Folding in Mathematics: Mathematizing the Margins. Science Networks. Historical Studies. Vol. 59. Birkhäuser. p. 71. doi:10.1007/978-3-319-72487-4. ISBN 978-3-319-72486-7.
54. Senechal, Marjorie; Galiulin, R. V. (1984). "An introduction to the theory of figures: the geometry of E. S. Fedorov". Structural Topology (in English and French) (10): 5–22. hdl:2099/1195. MR 0768703.
55. Schönflies, A. M. "Review of Zur Morphologie der Polyeder". Jahrbuch über die Fortschritte der Mathematik (in German). JFM 23.0544.03.
56. Reviews of The Polyhedrists:
    • Bultheel, Adhemar (September 2022). "Review". EMS Magazine (125): 48–49. doi:10.4171/mag/93. S2CID 252247889.
    • Karakas, Alexandra (2022). "A new account of the relation between art, science, and design". Disegno. 6 (1): 126–130. doi:10.21096/disegno_2022_1ak. S2CID 255079275.
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    • Sonar, Thomas. zbMATH. Zbl 1502.01004.
57. Reviews of Piero della Francesca's Mathematical Treatises:
    • Tormey, Judith Farr (Spring 1979). The Journal of Aesthetics and Art Criticism. 37 (3): 389–390. doi:10.2307/430812. JSTOR 430812.
    • Rose, Paul Lawrence (1980). Bibliothèque d'Humanisme et Renaissance. 42 (2): 487–488. JSTOR 20676148.
    • Maccagni, Carlo (1979). Annali della Scuola Normale Superiore di Pisa. Classe di Lettere e Filosofia (Serie III). 9 (4): 1909–1911. JSTOR 24305449.
58. Reviews of Descartes on Polyhedra:
    • Coxeter, H. S. M. (1984). Mathematical Reviews. MR 0680214.
    • Führer, L. zbMATH (in German). Zbl 0498.01004.
    • Kleinschmidt, Peter (May 1984). "Review" (PDF). Optima. 12. Mathematical Programming Society: 4–5.
    • Senechal, Marjorie L. (August 1984). Historia Mathematica. 11 (3): 333–334. doi:10.1016/0315-0860(84)90044-2.
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59. Reviews of Euler's Gem:
    • Bradley, Robert (January 8, 2009). "Review". Times Higher Education.
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    • Ciesielski, Krzysztof. Mathematical Reviews. MR 2963735.
    • Daems, Jeanine (December 2009). The Mathematical Intelligencer. 32 (3): 56–57. doi:10.1007/s00283-009-9116-0. S2CID 118637071.
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    • Karpenkov, Oleg. zbMATH. Zbl 1153.55001.
    • Martin, Jeremy (December 2010). "Review" (PDF). Notices of the American Mathematical Society. 57 (11): 1448–1450.
    • Roth, Bruce (March 2010). The Mathematical Gazette. 94 (529): 176–177. doi:10.1017/S0025557200007397. JSTOR 27821912. S2CID 233362179.
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    • Wagner, Clifford (February 2010). Convergence. Mathematical Association of America. doi:10.4169/loci003291 (inactive 1 November 2024).
60. Prudence, Paul. "David Wade's 'Fantastic Geometry' – The Works of Wenzel Jamnitzer & Lorenz Stoer". Dataisnature.