List of books about polyhedra explained

This is a list of books about polyhedra.

Polyhedral models

Cut-out kits

• Book: Jenkins. Gerald. Bear. Magdalen. Paper Polyhedra in Colour. 1998. Tarquin. 1-899618-23-6. Advanced Polyhedra 1: The Final Stellation, . Advanced Polyhedra 2: The Sixth Stellation, . Advanced Polyhedra 3: The Compound of Five Cubes, .^[1]
• Book: Jenkins. Gerald. Wild. Anne. Mathematical Curiosities. 2000. Tarquin. 1-899618-35-X. More Mathematical Curiosities, Tarquin, . Make Shapes 1, . Make Shapes 2, .
• Book: Smith, A. G.. Cut and Assemble 3-D Geometrical Shapes: 10 Models in Full Color. Dover. 1986. Cut and Assemble 3-D Star Shapes, 1997. Easy-To-Make 3D Shapes in Full Color, 2000.
• Book: Torrence, Eve. Eve Torrence. Cut and Assemble Icosahedra: Twelve Models in White and Color. Dover. 2011.

Origami

• Book: Fuse, Tomoko. Tomoko Fuse. Unit Origami: Multidimensional Transformations. Japan Publications. 1990. 978-0-87040-852-6. ^[2]
• Book: Gurkewitz. Rona. Rona Gurkewitz. Arnstein. Bennett. 3D Geometric Origami: Modular Origami Polyhedra. Dover. 1996. 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]
• Book: Mitchell, David. Mathematical Origami: Geometrical Shapes by Paper Folding. Tarquin. 1997. 978-1-899618-18-7. ^[6]
• Book: Montroll, John. John Montroll. Origami Polyhedra Design. Origami Polyhedra Design. A K Peters. 2009. 9781439871065. ^[7] A Plethora of Polyhedra in Origami, Dover, 2002.^[8]

Other model-making

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

Mathematical studies

Introductory level and general audience

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

Textbooks

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

Monographs and special topics

• Book: Coxeter. H. S. M.. Harold Scott MacDonald Coxeter. du Val. P.. Patrick du Val. Flather. H. T.. Petrie. J. F.. The Fifty-Nine Icosahedra. The Fifty-Nine Icosahedra. University of Toronto Studies, Mathematical Series. 6. University of Toronto Press. 1938. 2nd ed., Springer, 1982. 3rd ed., Tarquin, 1999.^[35]
• Book: Coxeter, H. S. M.. Harold Scott MacDonald Coxeter. Regular Complex Polytopes. Cambridge University Press. 1974. 2nd ed., 1991.^[36]
• Book: Demaine. Erik. Erik Demaine. O'Rourke. Joseph. Joseph O'Rourke (professor). Geometric Folding Algorithms: Linkages, Origami, Polyhedra. Geometric Folding Algorithms. Cambridge University Press. 2007. ^[37]
• Book: Deza. Michel. Michel Deza. Grishukhin. Viatcheslav. Shtogrin. Mikhail. 10.1142/9781860945489. 1-86094-421-3. London. Imperial College Press. Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes and Z _{n} . 2004. ^[38]
• Book: Lakatos, Imre. Imre Lakatos. Proofs and Refutations: The Logic of Mathematical Discovery. Proofs and Refutations. Cambridge University Press. 1976. ^[39]
• Book: McMullen, Peter. Peter McMullen. Geometric Regular Polytopes. Encyclopedia of Mathematics and its Applications. 172. Cambridge University Press. 2020. ^[40]
• Book: McMullen. Peter. Peter McMullen. Schulte. Egon. Egon Schulte. Abstract Regular Polytopes. Encyclopedia of Mathematics and its Applications. 92. Cambridge University Press. 2002. ^[41]
• Book: McMullen. Peter. Peter McMullen. Shephard. G. C.. Convex Polytopes and the Upper Bound Conjecture. London Mathematical Society Lecture Note Series. 3. Cambridge University Press. 1971. ^[42]
• Book: Nef, Walter. Beiträge zur Theorie der Polyeder: Mit Anwendungen in der Computergraphik. de. Contributions to the theory of the polyhedron, with applications in computer graphics. Herbert Lang. 1978. ^[43]
• Book: Rajwade, A. R.. Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. 21. Hindustan Book Agency. 2001. ^[44]
• Book: Richter-Gebert, Jürgen. Realization Spaces of Polytopes. Lecture Notes in Mathematics. 1643. Springer. 1996. ^[45]
• Book: Stewart, B. M.. Bonnie Stewart. Adventures Among the Toroids. Adventures Among the Toroids. Self-published. 1970. 2nd ed., 1980.^[46]
• Book: Wachman. Avraham. Burt. Michael. Kleinmann. M.. Infinite Polyhedra. Technion. 1974. 2nd ed., 2005.^[47]
• Book: Wu, Wen-tsün. A Theory of Imbedding, Immersion, and Isotopy of Polytopes in a Euclidean Space. Science Press. 1965. ^[48]
• Book: Zalgaller, Viktor A.. Victor Zalgaller

. Victor Zalgaller. Convex Polyhedra with Regular Faces. Consultants Bureau. 1969. Translated and corrected from Book: Zalgaller, V. A.. Выпуклые многогранники с правильными гранями . ru. Zapiski Naučnyh Seminarov Leningradskogo Otdelenija Matematičeskogo Instituta im. V. A. Steklova Akademii Nauk SSSR (LOMI). 2. Nauka. 1967. ^[49]

• Book: Zhizhin, Gennadiy Vladimirovich. The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems. Advances in Chemical and Materials Engineering. IGI Global. 2022. 9781799883760.

Edited volumes

• Book: Avis. David. David Avis. Bremner. David. Deza. Antoine. Polyhedral Computation. CRM Proceedings and Lecture Notes. 48. American Mathematical Society. 2009.
• Book: Gabriel. Jean-François. Beyond the Cube: The Architecture of Space Frames and Polyhedra. Wiley. 1997. ^[50]
• Book: Kalai. Gil. Gil Kalai. Ziegler. Günter M.. Günter M. Ziegler. Polytopes - Combinatorics and Computation. DMV Seminar. 29. Springer. 2012.
• Book: Senechal. Marjorie. Marjorie Senechal. Fleck. G.. Shaping Space: A Polyhedral Approach. Birkhauser. 1988. 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:

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

Books about historical topics

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

Notes and References

1. Neal. David. March 1987. 2. Mathematics in School. 30214199. 47. Tarquin Polyhedra (review of Paper Polyhedra in Colour). 16.
2. November 20, 1993. 21. Science News. 3977680. 335–350. Science News Books. 144. 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. 9. The Mathematics Teacher. 27970022. 782. none. 89.
   • Barnette. David. Mathematical Reviews. 1375920. none. 1997.
   • Cannon. Mary Ellen. May 1997. 6. Mathematics Teaching in the Middle School. 41181638. 444–445. none. 2.
   • Blackwell. Joan. March 1999. 10.1111/j.1949-8594.1999.tb17467.x. 3. School Science and Mathematics. 160. Wiley. Review. 99. .
4. Reviews of Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality:
   • Murphey. Bonnie. January 2004. 5. Mathematics Teaching in the Middle School. 41181919. 288. none. 9.
   • Kessler. Charlotte. January 2004. 1. The Mathematics Teacher. 20871510. 78. none. 97.
5. Reviews of Modular Origami Polyhedra (2nd ed.):
   • Böhm. Johannes. none. zbMATH. 1059.00005.
   • Johnston. Christopher. September 2002. 1. Mathematics Teaching in the Middle School. 41181231. 59, 62. none. 8.
6. Ollerton. Mike. January 1998. 1. Mathematics in School. 30211857. 47. Review of Mathematical Origami: Geometrical Shapes by Paper Folding. 27.
7. Reviews of Origami Polyhedra Design:
   • Web site: Hagedorn. Thomas R.. April 2010. MAA Reviews. Mathematical Association of America. Review.
   • Luck. Gary S.. March 2011. 7. The Mathematics Teacher. 20876948. 558. none. 104.
   • Thomas. Rachel. December 2009. Plus Magazine. Review.
8. Short. Martha. March 2003. 7. Mathematics Teaching in the Middle School. 41181848. 380, 382. Review of A Plethora of Polyhedra in Origami. 8.
9. Reviews of Mathematical Models:
   • Goldberg. M.. Mathematical Reviews. 0049560. Review of 1st ed..
   • Müller. H. R.. zbMATH. German. Review of 1st ed.. 0047.38807. 2nd ed., .
   • ter Haar. D.. Dirk ter Haar. March 1953. 3. The Scientific Monthly. 20668. 188–189. Briefly reviewed (review of 1st ed.). 76.
   • Stone. Abraham. April 1953. 4. Scientific American. 24944205. 110. Review of 1st ed.. 188.
   • Dorrington. B. J. F.. September 1953. 10.2307/3608314. 321. The Mathematical Gazette. 3608314. 223. Review of 1st ed.. 37.
   • Ogilvy. C. Stanley. C. Stanley Ogilvy. November 1959. 7. The Mathematics Teacher. 27956015. 577–578. Review of 1st ed.. 52.
   • Coxeter. H. S. M.. Harold Scott MacDonald Coxeter. December 1962. 10.2307/3611791. 358. The Mathematical Gazette. 3611791. 331. Review of 2nd ed.. 46.
10. Reviews of Build Your Own Polyhedra:
    • none. Don. Schmidt. The Mathematics Teacher. 82. 2. February 1989. 145. 27966155.
    • none. Miriam A.. Leiva. Miriam Leiva. The Arithmetic Teacher. 36. 8. April 1989. 58–59. 41193678.
    • none. Wiliam. Jacob. The Mathematics Teacher. 87. 7. October 1994. 572. 27969009.
    • none. Mary D.. Provost. Mathematics Teaching in the Middle School. 1. 6. September–October 1995. 497–498. 41181482.
11. Reviews of Polyhedron Models:
    • Peak. Philip. May 1972. 5. The Mathematics Teacher. 27958940. 446. Review of 1st ed.. 65.
    • Harker. David. May 12, 1972. 4035. Science. 1734491. 653–655. New Series. Planes, solids, and nolids. 176.
    • Quadling. D. A.. October 1972. 10.2307/3617024. 397. The Mathematical Gazette. 3617024. 256. Review of 1st ed.. 56.
    • Loeb. Arthur L.. Arthur Lee Loeb. Winter 1974. 10.2307/1572763. 1. Leonardo. 1572763. 82–83. Review of 1st ed.. 7.
    • Ando. Masue. October 1976. 6. The Arithmetic Teacher. 41189041. 449. Review of 2nd ed.. 23.
    • Bristol. James D.. December 1976. 8. The Mathematics Teacher. 27960686. 698. Review of 2nd ed.. 69.
12. Reviews of Spherical Models:
    • Coxeter. H. S. M.. Harold Scott MacDonald Coxeter. May–June 1980. 3. American Scientist. 27849921. 342. none. 68.
    • Ede. J. D.. March 1981. 10.2307/3617955. 431. The Mathematical Gazette. 3617955. 65. none. 65.
    • Brisson. David W.. Winter 1982. 10.2307/1574381. 1. Leonardo. 1574381. 83. none. 15.
13. Reviews of Dual Models:
    • Ede. J. D.. December 1984. 10.2307/3616168. 446. The Mathematical Gazette. 3616168. 307. none. 68.
    • Senechal. Marjorie. Marjorie Senechal. March–April 1985. 2. American Scientist. 27853201. 205. none. 73.
14. Reviews of Treks into Intuitive Geometry: The World of Polygons and Polyhedra (1st ed.):
    • Jacquemet. Matthieu. zbMATH. none. 1339.52001.
    • Web site: Brown. Tricia Muldoon. April 2016. MAA Reviews. Mathematical Association of America. Review.
    • Fox. Michael. October 2017. 10.1017/mag.2017.164. 552. The Mathematical Gazette. 565–568. none. 101. 125467238 .
15. Callahan. Deborah D.. September 2002. 1. Mathematics Teaching in the Middle School. 41181235. 64. Review of Polyhedra Pastimes. 8.
16. Reviews of Polyhedra:
    • Bending. Thomas. March 1999. 10.2307/3618744. 496. The Mathematical Gazette. 3618744. 178–179. none. 83. 165718030 .
    • Böhm. J.. zbMATH. none. 0888.52012.
    • Casselman. Bill. Bill Casselman (mathematician). September 1998. 8. Notices of the American Mathematical Society. 978–980. Review. 45.
    • Grabiner. Judith V.. Judith Grabiner. December 1998. 10.1086/384173. 4. Isis. 236751. 714–715. none. 89.
    • McMullen. Peter. Peter McMullen. Mathematical Reviews. 1458063. none. 1998.
    • Sandifer. Ed. February 1999. MAA Reviews. Mathematical Association of America. Review.
17. Hayek. Linda M.. April 1994. 4. The Mathematics Teacher. 27968850. 298. Review of The Platonic Solids Activity Book. 87.
18. Reviews of Shapes, Space and Symmetry:
    • Morrison. Philip. March 1972. 3. Scientific American. 24927303. 124–125. none. 226.
    • Peak. Philip. May 1972. 5. The Mathematics Teacher. 27958944. 447. none. 65.
    • Harker. David. May 12, 1972. 4035. Science. 1734491. 653–655. New Series. Planes, solids, and nolids. 176.
    • Hersee. John. December 1972. 10.2307/3617853. 398. The Mathematical Gazette. 3617853. 338–339. none. 56.
    • Moser. William. Winter 1973. 10.2307/1572445. 1. Leonardo. 1572445. 79. none. 6.
    • Ayoub. Ayoub B.. September 1992. 6. The Mathematics Teacher. 27967736. 494. none. 85.
    • Web site: Becker. Glenn. January 2016. Mathematical Association of America. Review. MAA Reviews.
19. Reviews of Les polyèdres:
    • none. Zdzisław. Pogoda. Mathematical Reviews. 3088661.
    • Review. La Jaune et La Rouge. French. 654. April 2010. Jean. Moreau.
20. Grünbaum. Branko. Grünbaum. January–February 1988. 1. American Scientist. 27855044. 94–95. Review of An Adventure in Multidimensional Space. 76.
21. Reviews of Polyhedra Primer:
    • none. zbMATH. P.. McMullen. Peter McMullen. 0438.52006.
    • Gehringer. Joseph H.. May 1979. 5. The Mathematics Teacher. 27961686. 392. none. 72.
    • Pedersen. Jean J.. Jean Pedersen. August–September 1980. 10.2307/2321449. 7. American Mathematical Monthly. 2321449. 586–589. none. 87.
    • Winter 1981. 10.2307/1574520. 1. Leonardo. 1574520. 78. none. 14.
    • Review. The Mathematics Student. N. K.. Thakare. 84. 3–4. July–December 2015. 177.
    • Web site: MAA Reviews. Review. Tom. Schulte. January 2016.
22. Mathematical Reviews. Review of Polyhedra: A Visual Approach. Coxeter. H. S. M.. Harold Scott MacDonald Coxeter. 0451161.
23. Web site: Review of The Platonic Solids Book. MAA Reviews. Mathematical Association of America. Ashbacher. Charles. November 2008.
24. Hoehn. Larry. February 2003. 2. The Mathematics Teacher. 20871261. 154. Publications. 96. 10.5951/MT.96.2.0154. Review of three books including Platonic & Archimedean Solids.
25. Reviews of Convex Polyhedra:
    • Busemann. H.. Herbert Busemann. Mathematical Reviews. 0040677. Review of Russian ed..
    • Kaloujnine. L.. Lev Kaluznin. zbMATH. German. Review of Russian ed.. 0041.50901.
    • Connelly. Robert. Robert Connelly. March 2006. 10.1137/SIREAD000048000001000149000001. 1. SIAM Review. 20453762. 157–160. Review of translation. 48.
    • Gorkaviy. Vasyl. zbMATH. Review of translation. 1067.52011.
    • Ruane. P. N.. November 2006. 10.1017/S002555720018074X. 519. The Mathematical Gazette. 40378241. 557–558. Review of translation. 90. 125888789 .
26. Reviews of Computing the Continuous Discretely:
    • Review of 1st ed.. Bayer. Margaret M.. Margaret Bayer . zbMATH. 1114.52013.
    • Review of 1st ed.. De Loera. Jesús A.. Jesús A. De Loera. Mathematical Reviews. 2007. 2271992.
    • Web site: Review of 1st ed.. Glass. Darren. MAA Reviews. Mathematical Association of America. February 2007.
    • Review of 2nd ed.. Karpenkov. Oleg. zbMATH. 1339.52002.
27. Reviews of An Introduction to Convex Polytopes:
    • Weinstein. J.. zbMATH. none. 0509.52001.
    • Barnette. D.. Mathematical Reviews. 0683612. none. 1984.
    • Anderson. Ian. June 1984. 10.2307/3615937. 444. The Mathematical Gazette. 3615937. 146–147. none. 68.
    • Sallee. G. T.. March 1985. 1. SIAM Review. 2031522. 123–124. none. 27. 10.1137/1027044.
    • Lee. Carl W.. November 1986. 10.2307/2322309. 9. The American Mathematical Monthly. 2322309. 750–752. none. 93.
28. Reviews of Regular Polytopes:
    • Goldberg. M.. Mathematical Reviews. 0027148. Review of 1st ed..
    • Fejes Tóth. L.. László Fejes Tóth. zbMATH. Review of 1st ed.. 0031.06502.
    • Cundy. H. Martyn. Martyn Cundy. February 1949. 10.2307/3608432. 303. The Mathematical Gazette. 3608432. 47–49. Review of 1st ed.. 33.
    • Allendoerfer. C. B.. Carl B. Allendoerfer. July 1949. 10.1090/s0002-9904-1949-09258-3. 7. Bulletin of the American Mathematical Society. 721–723. Review of 1st ed.. 55. free.
    • Miller. J. C. P.. J. C. P. Miller. July 1949. 147. Science Progress. 43413146. 563–564. Review of 1st ed.. 37.
    • Walsh. J. L.. Joseph L. Walsh. August 1949. 2. Scientific American. 24967260. 58–59. Review of 1st ed.. 181.
    • Frueh. A. J. Jr.. November 1950. 10.1086/625793. 6. The Journal of Geology. 30071213. 672. Review of 1st ed.. 58.
    • Wolfe. H. E.. February 1951. 10.2307/2308393. 2. American Mathematical Monthly. 2308393. 119–120. Review of 1st ed.. 58.
    • Robinson. G. de B.. Gilbert de Beauregard Robinson. Mathematical Reviews. 0151873. Review of 2nd ed..
    • Goldberg. Michael. January 1964. 10.2307/2003446. 85. Mathematics of Computation. 2003446. 166. Review of 2nd ed.. 18.
    • Yff. P.. February 1965. 10.1017/s0008439500024413. free. 1. Canadian Mathematical Bulletin. 124. Review of 2nd ed.. 8.
    • Peak. Philip. March 1975. 3. The Mathematics Teacher. 27960095. 230. Review of 3rd ed.. 68.
    • Wenninger. Magnus J.. Magnus Wenninger. Winter 1976. 10.2307/1573335. 1. Leonardo. 1573335. 83. Review of 3rd ed.. 9.
    • Brown. Tricia Muldoon. October 2016. MAA Reviews. Mathematical Association of America. Review of 3rd ed..
29. Reviews of Regular Figures:
    • Sherk. F. A.. Mathematical Reviews. 0165423. none.
    • Florian. A.. zbMATH. none. 0134.15705.
    • Coxeter. H. S. M.. Harold Scott MacDonald Coxeter. December 4, 1964. 10.1126/science.146.3649.1288. 3649. Science. 1714987. 1288. New Series. Geometry. 146.
    • Todd. J. A.. J. A. Todd. December 1964. 10.1017/s0013091500026055. 2. Proceedings of the Edinburgh Mathematical Society. 174–175. none. 14. 122606614 .
    • Rogers. C. A.. Claude Ambrose Rogers. 10.1112/jlms/s1-40.1.378a. 1. Journal of the London Mathematical Society. 378. none. s1-40. 1965.
    • Goldberg. Michael. April 1965. 10.2307/2004137. 89. Mathematics of Computation. 2004137. 166. none. 19.
    • Edge. W. L.. William Edge (mathematician). October 1965. 10.2307/3612913. 369. The Mathematical Gazette. 3612913. 343–345. none. 49.
    • Du Val. Patrick. Patrick du Val. August–September 1966. 10.2307/2314022. 7. American Mathematical Monthly. 2314022. 799. none. 73.
30. Reviews of Convex Polytopes:
    • Sallee. G. T.. 0226496. Review of 1st ed.. MathSciNet.
    • Jucovič. E.. German. Review of 1st ed.. zbMATH. 0163.16603.
    • Fenchel. Werner. Werner Fenchel. Winter 1968. 4. American Scientist. 27828384. 476A–477A. Review of 1st ed.. 56.
    • Baxandall. P. R.. October 1969. 10.2307/3615008. 385. The Mathematical Gazette. 342–343. Review of 1st ed.. 53. 3615008.
    • Ehrig. G.. German. Review of 2nd ed.. zbMATH. 1024.52001.
    • Zvonkin. Alexander. 1976856. Review of 2nd ed.. MathSciNet. 2004.
    • Lord. Nick. March 2005. 514. The Mathematical Gazette. 3620690. 164–166. Review of 2nd ed.. 89. 10.1017/S0025557200177307. 126343422 .
    • McMullen. Peter. Peter McMullen. July 2005. 10.1017/s0963548305226998. 4. Combinatorics, Probability and Computing. 623–626. Review of 2nd ed.. 14. 2024-11-02 .
31. Reviews of Convex Figures and Polyhedra:
    • Review of Russian edition. W.. Burau. zbMATH. 0071.37801. de.
    • Review of Smith translation. N. D.. Kazarinoff. MathSciNet. 0161219.
    • Eves. Howard. Howard Eves. March 1965. 10.2307/2688443. 2. Mathematics Magazine. 2688443. 113. Review of Smith translation. 38.
32. MathSciNet. Review of Reguläre und halbreguläre Polyeder. de. E.. Jucovič. 0248605.
33. Reviews of Lectures in Geometric Combinatorics:
    • Web site: Miklós. Bóna. Miklós Bóna. MAA Reviews. Mathematical Association of America. Review. April 2007.
    • Vasyl. Gorkaviy. zbMATH. 1115.52001. Review of Lectures in Geometric Combinatorics.
    • Web site: mloe. EMS Reviews. European Mathematical Society. Review of Lectures in Geometric Combinatorics. June 2011.
    • Alexander. Zvonkin. Mathematical Reviews. 2237292. 2007. Review of Lectures in Geometric Combinatorics.
34. Reviews of Lectures on Polytopes:
    • J.. Böhm. none. zbMATH. 0823.52002.
    • none. MathSciNet. Margaret M.. Bayer. Margaret Bayer. 1996. 1311028.
    • McMullen. P.. Peter McMullen. February 1996. 10.1017/s0013091500022914. 1. Proceedings of the Edinburgh Mathematical Society. 189–190. none. 39. free.
35. Reviews of The Fifty-Nine Icosahedra:
    • Bottema. O.. zbMATH. none. 0019.13502.
    • Miller. J. C. P.. J. C. P. Miller. February 1939. 10.2307/3605992. 253. The Mathematical Gazette. 3605992. 105–107. none. 23.
    • Cundy. H. Martyn. Martyn Cundy. July 2002. 10.2307/3621904. 506. The Mathematical Gazette. 3621904. 360–361. none. 86. 165245898 .
36. Reviews of Regular Complex Polytopes:
    • Jucovič. E.. zbMATH. Review of 1st ed.. 0296.50009.
    • Guggenheimer. H. W.. Heinrich Guggenheimer. MathSciNet. 0370328. Review of 1st ed..
    • Schwarzenberger. R. L. E.. Rolph Ludwig Edward Schwarzenberger. October 1975. 10.2307/3617711. 409. The Mathematical Gazette. 3617711. 196–197. Review of 1st ed.. 59.
    • Grünbaum. Branko. Branko Grünbaum. March 1977. 10.1112/blms/9.1.119b. 1. Bulletin of the London Mathematical Society. 119–120. Review of 1st ed.. 9.
    • Böhm. J.. zbMATH. Review of 2nd ed.. 0732.51002.
    • McMullen. P.. Peter McMullen. MathSciNet. 1119304. Review of 2nd ed.. 1992.
    • Cannon. Lawrence O.. April 1992. 4. The Mathematics Teacher. 27967613. 316. Review of 2nd ed.. 85.
37. Reviews of Geometric Folding Algorithms:
    • Web site: Carbno. Collin. May 2009. MAA Reviews. Mathematical Association of America. Review.
    • Paquete. Luís. November 2009. 10.1016/j.ejor.2008.06.009. 1. European Journal of Operational Research. 311–313. none. 199.
    • Web site: mbec. EMS Reviews. European Mathematical Society. Review. 2011.
    • Fasy. Brittany Terese. Millman. David L.. March 2011. 10.1145/1959045.1959056. 1. ACM SIGACT News. 43–46. none. 42. 6514501.
38. Reviews of Scale-Isometric Polytopal Graphs:
    • Dawson. Robert. zbMATH. none. 1054.52007.
    • Ding. Ren. MathSciNet. 2051396. none. 2005.
39. Reviews of Proofs and Refutations:
    • Web site: Berg. Michael. MAA Reviews. Mathematical Association of America. Review. June 2012.
    • De Keyser. F.. December 1977. 4. Tijdschrift voor Filosofie. 40884110. 715. none. 39.
    • Ernest. Paul. MathSciNet. 0479916. none.
    • Gasarch. William. December 2001. 10.1145/568425.568428. 4. ACM SIGACT News. 6–8. none. 32. 34342078 .
    • Hart. W. D.. April 1978. 346. Mind. 2253443. 314–316. New Series. none. 87. 10.1093/mind/LXXXVII.2.314 .
    • Isaacson. Daniel. April 1978. 10.2307/2219364. 111. The Philosophical Quarterly. 2219364. 169–171. none. 28.
    • Kitcher. Philip. May 13, 1977. 4291. Science. 1745123. 782–783. New Series. On the uses of rigorous proof. 196. 10.1126/science.196.4291.782 . 17776902 .
    • Kneebone. G. T.. zbMATH. none. 0334.00022.
    • Lenoir. Timothy. February 1981. 10.1016/0315-0860(81)90016-1. 1. Historia Mathematica. 99–104. none. 8. free.
    • Lercher. Bruce. 10.5840/intstudphil19781029. International Studies in Philosophy. 192–193. none. 10. 1978.
    • Levin. Margarita R.. September 1980. 10.2307/2214971. 3. Noûs. 2214971. 474–478. none. 14.
    • McFetridge. I. G.. July 1977. 10.1017/S003181910002725X. 201. Philosophy. 3749597. 365–366. none. 52. 170439797 .
    • Peak. Philip. May 1977. 5. The Mathematics Teacher. 27960906. 474–475. none. 70.
    • Quadling. D. A.. June 1977. 10.2307/3616424. 416. The Mathematical Gazette. 3616424. 145–146. none. 61.
    • Quine. W. V.. March 1977. 1. The British Journal for the Philosophy of Science. 686451. 81–82. none. 28. 10.1093/bjps/28.1.81 .
    • Russo. F.. April–June 1978. 2. Archives de Philosophie. 43034062. 304–305. none. 41.
    • Web site: Satzer. William J.. MAA Reviews. Mathematical Association of America. Review. April 2016.
    • Schramm. Alfred. 1–2. Philosophische Rundschau. 42571468. 84–100. Vom Vermächtnis des Imre Lakatos. 27. 1980.
    • Toulmin. Stephen. Winter 1980. 4. Minerva. 41820442. 652–667. The intellectual authority and the social context of the scientific enterprise: Holton, Rescher And Lakatos. 18.
40. Review of Geometric Regular Polytopes:
    • Uma Kant. Sahoo. none. zbMATH. 1454.51002.
41. Reviews of Abstract Regular Polytopes:
    • Hartley. Michael Ian. zbMATH. none. 1039.52011.
    • Martini. Horst. August 2003. 10.1112/s0024609303219330. 5. Bulletin of the London Mathematical Society. 711–712. none. 35.
    • Živaljević. Rade. MathSciNet. 1965665. none. 2004.
42. Reviews of Convex Polytopes and the Upper Bound Conjecture:
    • Coxeter. H. S. M.. Harold Scott MacDonald Coxeter. Mathematical Reviews. none. 0301635.
    • Schneider. R.. zbMATH. none. 0217.46702.
43. MathSciNet. E.. Hertel. Review of Beiträge zur Theorie der Polyeder. de. 0500548.
44. Reviews of Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem:
    • none. do Rosário Pinto. Maria. zbMATH. 1030.52012.
    • none. Hertel. E.. Mathematical Reviews. 2003. 1891668.
45. Reviews of Realization Spaces of Polytopes:
    • zbMATH. none. P.. McMullen. Peter McMullen. 0866.52009.
    • Mathematical Reviews. none. Margaret M.. Bayer. Margaret Bayer. 1999. 1482230.
46. Reviews of Adventures Among the Toroids:
    • Review of 1st ed.. H. S. M.. Coxeter. Harold Scott MacDonald Coxeter. Mathematical Reviews. 0275266.
    • Review of 2nd ed.. H. S. M.. Coxeter. Harold Scott MacDonald Coxeter. Mathematical Reviews. 0588511. 1982.
    • Review of 2nd ed.. Henry. Crapo. Henry Crapo (mathematician). Structural Topology. 5. 1980. 45–48.
    • Review of 1st ed.. zbMATH. 0214.47703. German.
    • Review of 2nd ed.. zbMATH. 0443.52005.
47. Wenninger. Magnus J.. Magnus Wenninger. Spring 1976. 10.2307/1573140. 2. Leonardo. 1573140. 158. Review of Infinite Polyhedra. 9.
48. Reviews of A Theory of Imbedding, Immersion, and Isotopy of Polytopes in a Euclidean Space:
    • none. Mathematical Reviews. L.. Larmore. Lawrence L. Larmore. 0215305.
    • none. zbMATH. Freudenthal. Hans. Hans Freudenthal. 0177.26402.
49. Review of Convex Polyhedra with Regular Faces:
    • Review of Russian ed.. A. V.. Pogorelov. Mathematical Reviews. 0227860.
50. Review of Beyond the Cube. Chilton. J. C.. Journal of the International Association for Shell and Spatial Structures. April 2000. 41. 1. 132.
51. Reviews of Shaping Space:
    • Lichtenberg. Donovan R.. December 1988. 9. The Mathematics Teacher. 27966054. 757. Review of 1st ed.. 81.
    • Crowe. Donald W.. January–February 1989. 1. American Scientist. 27855558. 72. Review of 1st ed.. 77.
    • Web site: Karaali. Gizem. December 2013. Mathematical Association of America. Review of 2nd ed.. MAA Reviews.
52. Sanders. P. M.. 10.1080/00033798400200401. 6. Annals of Science. 780985. 513–566. Charles de Bovelles's treatise on the regular polyhedra (Paris, 1511). 41. 1984.
53. Book: Friedman, Michael. Birkhäuser. 2018. A History of Folding in Mathematics: Mathematizing the Margins. A History of Folding in Mathematics. Science Networks. Historical Studies. 59. 978-3-319-72486-7. 10.1007/978-3-319-72487-4. 71.
54. Senechal. Marjorie. Marjorie Senechal. Galiulin. R. V.. 2099/1195. 10. Structural Topology. en,fr. 768703. 5–22. An introduction to the theory of figures: the geometry of E. S. Fedorov. 1984.
55. Review of Zur Morphologie der Polyeder. A. M.. Schönflies. Arthur Moritz Schoenflies. 23.0544.03. German. Jahrbuch über die Fortschritte der Mathematik.
56. Reviews of The Polyhedrists:
    • Bultheel. Adhemar. Adhemar Bultheel. September 2022. 10.4171/mag/93. 125. EMS Magazine. 48–49. Review. 252247889 .
    • Karakas. Alexandra. 10.21096/disegno_2022_1ak. 1. Disegno. 126–130. A new account of the relation between art, science, and design. 6. 2022. 255079275 .
    • Livingstone. Jo. April 2022. 4Columns. The Polyhedrists: Linear perspective, schmlinear perspective: here are the real shapes that changed how we see.
    • Sarkar. Amites. October 2022. 10.1080/10724117.2022.2113253. 2. Math Horizons. 28. none. 30. 253184987 .
    • Sonar. Thomas. zbMATH. none. 1502.01004.
57. Reviews of Piero della Francesca's Mathematical Treatises:
    • Tormey. Judith Farr. Spring 1979. 10.2307/430812. 3. The Journal of Aesthetics and Art Criticism. 430812. 389–390. none. 37.
    • Rose. Paul Lawrence. 2. Bibliothèque d'Humanisme et Renaissance. 20676148. 487–488. none. 42. 1980.
    • Maccagni. Carlo. 4. Annali della Scuola Normale Superiore di Pisa. Classe di Lettere e Filosofia (Serie III). 24305449. 1909–1911. none. 9. 1979.
58. Reviews of Descartes on Polyhedra:
    • Coxeter. H. S. M.. Harold Scott MacDonald Coxeter. Mathematical Reviews. 0680214. none. 1984.
    • Führer. L.. zbMATH. German. none. 0498.01004.
    • Kleinschmidt. Peter. May 1984. Optima. 4–5. Mathematical Programming Society. Review. 12.
    • Senechal. Marjorie L.. Marjorie Senechal. August 1984. 10.1016/0315-0860(84)90044-2. 3. Historia Mathematica. 333–334. none. 11. free.
    • Sherk. F. A.. January 1984. Book reviews: Mathematics and logic. 10.1080/00033798400200131. 1. Annals of Science. 95–96. none. 41.
59. Reviews of Euler's Gem:
    • Bradley. Robert. January 8, 2009. Times Higher Education. Review.
    • Bultheel. Adhemar. Adhemar Bultheel. January 2020. EMS Reviews. European Mathematical Society. Review.
    • Ciesielski. Krzysztof. Mathematical Reviews. 2963735. none.
    • Daems. Jeanine. December 2009. 10.1007/s00283-009-9116-0. 3. The Mathematical Intelligencer. 56–57. none. 32. 118637071. free.
    • Jones. Dustin L.. August 2009. 1. The Mathematics Teacher. National Council of Teachers of Mathematics. 20876528. 87. none. 103.
    • Karpenkov. Oleg. zbMATH. none. 1153.55001.
    • Martin. Jeremy. December 2010. 11. Notices of the American Mathematical Society. 1448–1450. Review. 57.
    • Roth. Bruce. March 2010. 529. The Mathematical Gazette. 27821912. 176–177. none. 94. 10.1017/S0025557200007397. 233362179 .
    • Satzer. William J.. October 2008. MAA Reviews. Mathematical Association of America. Review.
    • Wagner. Clifford. February 2010. 10.4169/loci003291. Convergence. Mathematical Association of America. none. 1 November 2024 .
60. Web site: Paul. Prudence. Dataisnature. David Wade's 'Fantastic Geometry' – The Works of Wenzel Jamnitzer & Lorenz Stoer.