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.
• Hess, Edmund (1883). Einleitung in die Lehre von der Kugelteilung mit besonderer Berücksichtigung ihrer Anwendung auf die Theorie der Gleichflächigen und der gleicheckigen Polyeder (in German). Teubner.
• 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.
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29. Reviews of Regular Figures:
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30. Reviews of Convex Polytopes:
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31. Reviews of Convex Figures and Polyhedra:
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33. Reviews of Lectures in Geometric Combinatorics:
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34. Reviews of Lectures on Polytopes:
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35. Reviews of The Fifty-Nine Icosahedra:
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36. Reviews of Regular Complex Polytopes:
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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.
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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.
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42. Reviews of Convex Polytopes and the Upper Bound Conjecture:
    • Coxeter, H. S. M. Mathematical Reviews . MR   0301635.
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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.
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45. Reviews of Realization Spaces of Polytopes:
    • McMullen, P. zbMATH . Zbl   0866.52009.
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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.
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    • "Review of 1st ed". zbMATH (in German). Zbl   0214.47703.
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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.
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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.
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58. Reviews of Descartes on Polyhedra:
    • Coxeter, H. S. M. (1984). Mathematical Reviews . MR   0680214.
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59. Reviews of Euler's Gem:
    • Bradley, Robert (January 8, 2009). "Review". Times Higher Education .
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    • 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.
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    • Wagner, Clifford (February 2010). Convergence. Mathematical Association of America. doi:10.4169/loci003291 (inactive 12 July 2025).
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