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 (2015). Treks into Intuitive Geometry: The World of Polygons and Polyhedra. Springer.[14]
- Alsina, Claudi (2017). The Thousand Faces of Geometric Beauty: The Polyhedra. Our Mathematical World. 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. 154. Springer. 2nd ed., 2015, ISBN 978-1-4939-2968-9.[26]
- Brøndsted, Arne (1983). An Introduction to Convex Polytopes. Graduate Texts in Mathematics. 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. 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 . London: Imperial College Press. doi:10.1142/9781860945489. ISBN 1-86094-421-3.[38]
- Lakatos, Imre (1976). Proofs and Refutations. Cambridge University Press.
- McMullen, Peter (2020). Geometric Regular Polytopes. Encyclopedia of Mathematics and its Applications. 172. Cambridge University Press.
- McMullen, Peter; Schulte, Egon (2002). Abstract Regular Polytopes. Encyclopedia of Mathematics and its Applications. 92. Cambridge University Press.[39]
- McMullen, Peter; Shephard, G. C. (1971). Convex Polytopes and the Upper Bound Conjecture. London Mathematical Society Lecture Note Series. 3. Cambridge University Press.[40]
- 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.[41]
- Rajwade, A. R. (2001). Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. 21. Hindustan Book Agency.[42]
- Richter-Gebert, Jürgen (1996). Realization Spaces of Polytopes. Lecture Notes in Mathematics. 1643. Springer.[43]
- Stewart, B. M. (1970). Adventures Among the Toroids. Self-published. 2nd ed., 1980.[44]
- Wachman, Avraham; Burt, Michael; Kleinmann, M. (1974). Infinite Polyhedra. Technion. 2nd ed., 2005.[45]
- Wu, Wen-tsün (1965). A Theory of Imbedding, Immersion, and Isotopy of Polytopes in a Euclidean Space. Science Press.[46]
Edited volumes
- Avis, David; Bremner, David; Deza, Antoine, eds. (2009). Polyhedral Computation. CRM Proceedings and Lecture Notes. 48. American Mathematical Society.
- Gabriel, Jean-François, ed. (1997). Beyond the Cube: The Architecture of Space Frames and Polyhedra. Wiley.[47]
- Kalai, Gil; Ziegler, Günter M., eds. (2012). Polytopes - Combinatorics and Computation. DMV Seminar. 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.[48]
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. Mathematicae collectiones, liber quintus.
- 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.[49]
- 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.[50]
- 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.
- Wiener, Christian (1864). Über Vielecke und Vielflache. Teubner.
- Catalan, Eugène (1865). Mémoire sur la théorie des polyèdres (in French). 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).[51]
- 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.[52]
- 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
- Davis, Margaret Daly (1977). Piero della Francesca's Mathematical Treatises: The "Trattato d'abaco" and "Libellus de quinque corporibus regularibus". Longo.[53]
- Sanders, Philip Morris (1990). The Regular Polyhedra in Renaissance Science and Philosophy. Warburg Institute, University of London.
- 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. 4. Springer.[54]
- Richeson, D. S. (2008). Euler's Gem: The Polyhedron Formula and the Birth of Topology. Princeton University Press.[55]
- Wade, David (2012). Fantastic Geometry: Polyhedra and the Artistic Imagination in the Renaissance. Squeeze Press.[56]
References
- Neal, David (March 1987). "Tarquin Polyhedra (review of Paper Polyhedra in Colour)". Mathematics in School. 16 (2): 47. JSTOR 30214199.
- "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.
- Reviews of 3D Geometric Origami: Modular Origami Polyhedra:
- Plummer, Robert (December 1996). The Mathematics Teacher. 89 (9): 782. JSTOR 27970022.CS1 maint: untitled periodical (link)
- Barnette, David (1997). Mathematical Reviews. MR 1375920.CS1 maint: untitled periodical (link)
- Cannon, Mary Ellen (May 1997). Mathematics Teaching in the Middle School. 2 (6): 444–445. JSTOR 41181638.CS1 maint: untitled periodical (link)
- Blackwell, Joan (March 1999). "Review". School Science and Mathematics. Wiley. 99 (3): 160. doi:10.1111/j.1949-8594.1999.tb17467.x. ProQuest 195202376.
- Reviews of Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality:
- Reviews of Modular Origami Polyhedra (2nd ed.):
- Böhm, Johannes. zbMATH. Zbl 1059.00005.CS1 maint: untitled periodical (link)
- Johnston, Christopher (September 2002). Mathematics Teaching in the Middle School. 8 (1): 59, 62. JSTOR 41181231.CS1 maint: untitled periodical (link)
- Ollerton, Mike (January 1998). "Review of Mathematical Origami: Geometrical Shapes by Paper Folding". Mathematics in School. 27 (1): 47. JSTOR 30211857.
- Reviews of Origami Polyhedra Design:
- Short, Martha (March 2003). "Review of A Plethora of Polyhedra in Origami". Mathematics Teaching in the Middle School. 8 (7): 380, 382. JSTOR 41181848.
- 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.
- Reviews of Build Your Own Polyhedra:
- Schmidt, Don (February 1989). The Mathematics Teacher. 82 (2): 145. JSTOR 27966155.CS1 maint: untitled periodical (link)
- Leiva, Miriam A. (April 1989). The Arithmetic Teacher. 36 (8): 58–59. JSTOR 41193678.CS1 maint: untitled periodical (link)
- Jacob, Wiliam (October 1994). The Mathematics Teacher. 87 (7): 572. JSTOR 27969009.CS1 maint: untitled periodical (link)
- Provost, Mary D. (September–October 1995). Mathematics Teaching in the Middle School. 1 (6): 497–498. JSTOR 41181482.CS1 maint: untitled periodical (link)
- 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.
- Reviews of Spherical Models:
- Coxeter, H. S. M. (May–June 1980). American Scientist. 68 (3): 342. JSTOR 27849921.CS1 maint: untitled periodical (link)
- Ede, J. D. (March 1981). The Mathematical Gazette. 65 (431): 65. doi:10.2307/3617955. JSTOR 3617955.CS1 maint: untitled periodical (link)
- Brisson, David W. (Winter 1982). Leonardo. 15 (1): 83. doi:10.2307/1574381. JSTOR 1574381.CS1 maint: untitled periodical (link)
- Reviews of Dual Models:
- Ede, J. D. (December 1984). The Mathematical Gazette. 68 (446): 307. doi:10.2307/3616168. JSTOR 3616168.CS1 maint: untitled periodical (link)
- Senechal, Marjorie (March–April 1985). American Scientist. 73 (2): 205. JSTOR 27853201.CS1 maint: untitled periodical (link)
- Reviews of Treks into Intuitive Geometry:
- Jacquemet, Matthieu. zbMATH. Zbl 1339.52001.CS1 maint: untitled periodical (link)
- 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.CS1 maint: untitled periodical (link)
- Callahan, Deborah D. (September 2002). "Review of Polyhedra Pastimes". Mathematics Teaching in the Middle School. 8 (1): 64. JSTOR 41181235.
- Reviews of Polyhedra:
- Bending, Thomas (March 1999). The Mathematical Gazette. 83 (496): 178–179. doi:10.2307/3618744. JSTOR 3618744.CS1 maint: untitled periodical (link)
- Böhm, J. zbMATH. Zbl 0888.52012.CS1 maint: untitled periodical (link)
- 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.CS1 maint: untitled periodical (link)
- McMullen, Peter (1998). Mathematical Reviews. MR 1458063.CS1 maint: untitled periodical (link)
- Sandifer, Ed (February 1999). "Review". MAA Reviews. Mathematical Association of America.
- Hayek, Linda M. (April 1994). "Review of The Platonic Solids Activity Book". The Mathematics Teacher. 87 (4): 298. JSTOR 27968850.
- Reviews of Shapes, Space and Symmetry:
- Morrison, Philip (March 1972). Scientific American. 226 (3): 124–125. JSTOR 24927303.CS1 maint: untitled periodical (link)
- Peak, Philip (May 1972). The Mathematics Teacher. 65 (5): 447. JSTOR 27958944.CS1 maint: untitled periodical (link)
- 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.CS1 maint: untitled periodical (link)
- Moser, William (Winter 1973). Leonardo. 6 (1): 79. doi:10.2307/1572445. JSTOR 1572445.CS1 maint: untitled periodical (link)
- Ayoub, Ayoub B. (September 1992). The Mathematics Teacher. 85 (6): 494. JSTOR 27967736.CS1 maint: untitled periodical (link)
- Becker, Glenn (January 2016). "Review". MAA Reviews. Mathematical Association of America.
- Reviews of Les polyèdres:
- Pogoda, Zdzisław. Mathematical Reviews. MR 3088661.CS1 maint: untitled periodical (link)
- Moreau, Jean (April 2010). "Review". La Jaune et La Rouge (in French). Vol. 654.
- Grünbaum, Branko (January–February 1988). "Review of An Adventure in Multidimensional Space". American Scientist. 76 (1): 94–95. JSTOR 27855044.
- Reviews of Polyhedra Primer:
- McMullen, P. zbMATH. Zbl 0438.52006.CS1 maint: untitled periodical (link)
- Gehringer, Joseph H. (May 1979). The Mathematics Teacher. 72 (5): 392. JSTOR 27961686.CS1 maint: untitled periodical (link)
- Pedersen, Jean J. (August–September 1980). American Mathematical Monthly. 87 (7): 586–589. doi:10.2307/2321449. JSTOR 2321449.CS1 maint: untitled periodical (link)
- Leonardo. 14 (1): 78. Winter 1981. doi:10.2307/1574520. JSTOR 1574520.CS1 maint: untitled periodical (link)
- Thakare, N. K. (July–December 2015). "Review" (PDF). The Mathematics Student. 84 (3–4): 177.
- Schulte, Tom (January 2016). "Review". MAA Reviews.
- Coxeter, H. S. M. "Review of Polyhedra: A Visual Approach". Mathematical Reviews. MR 0451161.
- Ashbacher, Charles (November 2008). "Review of The Platonic Solids Book". MAA Reviews. Mathematical Association of America.
- 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.
- 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.
- 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.
- Reviews of An Introduction to Convex Polytopes:
- Weinstein, J. zbMATH. Zbl 0509.52001.CS1 maint: untitled periodical (link)
- Barnette, D. (1984). Mathematical Reviews. MR 0683612.CS1 maint: untitled periodical (link)
- Anderson, Ian (June 1984). The Mathematical Gazette. 68 (444): 146–147. doi:10.2307/3615937. JSTOR 3615937.CS1 maint: untitled periodical (link)
- Sallee, G. T. (March 1985). SIAM Review. 27 (1): 123–124. doi:10.1137/1027044. JSTOR 2031522.CS1 maint: untitled periodical (link)
- Lee, Carl W. (November 1986). The American Mathematical Monthly. 93 (9): 750–752. doi:10.2307/2322309. JSTOR 2322309.CS1 maint: untitled periodical (link)
- 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.
- Reviews of Regular Figures:
- Sherk, F. A. Mathematical Reviews. MR 0165423.CS1 maint: untitled periodical (link)
- Florian, A. zbMATH. Zbl 0134.15705.CS1 maint: untitled periodical (link)
- Coxeter, H. S. M. (December 4, 1964). "Geometry". Science. New Series. 146 (3649): 1288. doi:10.1126/science.146.3649.1288. JSTOR 1714987.
- Todd, J. A. (December 1964). Proceedings of the Edinburgh Mathematical Society. 14 (2): 174–175. doi:10.1017/s0013091500026055.CS1 maint: untitled periodical (link)
- Rogers, C. A. (1965). Journal of the London Mathematical Society. s1-40 (1): 378. doi:10.1112/jlms/s1-40.1.378a.CS1 maint: untitled periodical (link)
- Goldberg, Michael (April 1965). Mathematics of Computation. 19 (89): 166. doi:10.2307/2004137. JSTOR 2004137.CS1 maint: untitled periodical (link)
- Edge, W. L. (October 1965). The Mathematical Gazette. 49 (369): 343–345. doi:10.2307/3612913. JSTOR 3612913.CS1 maint: untitled periodical (link)
- Du Val, Patrick (August–September 1966). American Mathematical Monthly. 73 (7): 799. doi:10.2307/2314022. JSTOR 2314022.CS1 maint: untitled periodical (link)
- Reviews of Convex Polytopes:
- Sallee, G. T. "Review of 1st ed". MathSciNet. MR 0226496.
- Jucovič, E. "Review of 1st ed". zbMATH (in German). Zbl 0163.16603.
- Fenchel, Werner (Winter 1968). "Review of 1st ed". American Scientist. 56 (4): 476A–477A. JSTOR 27828384.
- Baxandall, P. R. (October 1969). "Review of 1st ed". The Mathematical Gazette. 53 (385): 342–343. doi:10.2307/3615008. JSTOR 3615008.
- Ehrig, G. "Review of 2nd ed". zbMATH (in German). Zbl 1024.52001.
- Zvonkin, Alexander (2004). "Review of 2nd ed". MathSciNet. MR 1976856.
- Lord, Nick (March 2005). "Review of 2nd ed". The Mathematical Gazette. 89 (514): 164–166. doi:10.1017/S0025557200177307. JSTOR 3620690.
- McMullen, Peter (July 2005). "Review of 2nd ed". Combinatorics, Probability and Computing. 14 (4): 623–626. doi:10.1017/s0963548305226998.
- Reviews of Convex Figures and Polyhedra:
- Burau, W. "Review of Russian edition". zbMATH (in German). Zbl 0071.37801.
- Kazarinoff, N. D. "Review of Smith translation". MathSciNet. MR 0161219.
- Eves, Howard (March 1965). "Review of Smith translation". Mathematics Magazine. 38 (2): 113. doi:10.2307/2688443. JSTOR 2688443.
- Jucovič, E. "Review of Reguläre und halbreguläre Polyeder". MathSciNet (in German). MR 0248605.
- Reviews of Lectures in Geometric Combinatorics:
- Bóna, Miklós (April 2007). "Review". MAA Reviews. Mathematical Association of America.
- Gorkaviy, Vasyl. "Review of Lectures in Geometric Combinatorics". zbMATH. Zbl 1115.52001.
- mloe (June 2011). "Review of Lectures in Geometric Combinatorics". EMS Reviews. European Mathematical Society.
- Zvonkin, Alexander (2007). "Review of Lectures in Geometric Combinatorics". Mathematical Reviews. MR 2237292.
- Reviews of Lectures on Polytopes:
- Böhm, J. zbMATH. Zbl 0823.52002.CS1 maint: untitled periodical (link)
- Bayer, Margaret M. (1996). MathSciNet. MR 1311028.CS1 maint: untitled periodical (link)
- McMullen, P. (February 1996). Proceedings of the Edinburgh Mathematical Society. 39 (1): 189–190. doi:10.1017/s0013091500022914.CS1 maint: untitled periodical (link)
- Reviews of The Fifty-Nine Icosahedra:
- Bottema, O. zbMATH. Zbl 0019.13502.CS1 maint: untitled periodical (link)
- Miller, J. C. P. (February 1939). The Mathematical Gazette. 23 (253): 105–107. doi:10.2307/3605992. JSTOR 3605992.CS1 maint: untitled periodical (link)
- Cundy, H. Martyn (July 2002). The Mathematical Gazette. 86 (506): 360–361. doi:10.2307/3621904. JSTOR 3621904.CS1 maint: untitled periodical (link)
- Reviews of Regular Complex Polytopes:
- Jucovič, E. "Review of 1st ed". zbMATH. Zbl 0296.50009.
- Guggenheimer, H. W. "Review of 1st ed". MathSciNet. MR 0370328.
- Schwarzenberger, R. L. E. (October 1975). "Review of 1st ed". The Mathematical Gazette. 59 (409): 196–197. doi:10.2307/3617711. JSTOR 3617711.
- Grünbaum, Branko (March 1977). "Review of 1st ed". Bulletin of the London Mathematical Society. 9 (1): 119–120. doi:10.1112/blms/9.1.119b.
- Böhm, J. "Review of 2nd ed". zbMATH. Zbl 0732.51002.
- McMullen, P. (1992). "Review of 2nd ed". MathSciNet. MR 1119304.
- Cannon, Lawrence O. (April 1992). "Review of 2nd ed". The Mathematics Teacher. 85 (4): 316. JSTOR 27967613.
- Reviews of Geometric Folding Algorithms:
- Carbno, Collin (May 2009). "Review". MAA Reviews. Mathematical Association of America.
- Paquete, Luís (November 2009). European Journal of Operational Research. 199 (1): 311–313. doi:10.1016/j.ejor.2008.06.009.CS1 maint: untitled periodical (link)
- mbec (2011). "Review". EMS Reviews. European Mathematical Society.
- Fasy, Brittany Terese; Millman, David L. (March 2011). ACM SIGACT News. 42 (1): 43–46. doi:10.1145/1959045.1959056. S2CID 6514501.CS1 maint: untitled periodical (link)
- Reviews of Scale-Isometric Polytopal Graphs:
- Dawson, Robert. zbMATH. Zbl 1054.52007.CS1 maint: untitled periodical (link)
- Ding, Ren (2005). MathSciNet. MR 2051396.CS1 maint: untitled periodical (link)
- Reviews of Abstract Regular Polytopes:
- Hartley, Michael Ian. zbMATH. Zbl 1039.52011.CS1 maint: untitled periodical (link)
- Martini, Horst (August 2003). Bulletin of the London Mathematical Society. 35 (5): 711–712. doi:10.1112/s0024609303219330.CS1 maint: untitled periodical (link)
- Živaljević, Rade (2004). MathSciNet. MR 1965665.CS1 maint: untitled periodical (link)
- Reviews of Convex Polytopes and the Upper Bound Conjecture:
- Coxeter, H. S. M. Mathematical Reviews. MR 0301635.CS1 maint: untitled periodical (link)
- Schneider, R. zbMATH. Zbl 0217.46702.CS1 maint: untitled periodical (link)
- Hertel, E. "Review of Beiträge zur Theorie der Polyeder". MathSciNet (in German). MR 0500548.
- Reviews of Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem:
- do Rosário Pinto, Maria. zbMATH. Zbl 1030.52012.CS1 maint: untitled periodical (link)
- Hertel, E. (2003). Mathematical Reviews. MR 1891668.CS1 maint: untitled periodical (link)
- Reviews of Realization Spaces of Polytopes:
- McMullen, P. zbMATH. Zbl 0866.52009.CS1 maint: untitled periodical (link)
- Bayer, Margaret M. (1999). Mathematical Reviews. MR 1482230.CS1 maint: untitled periodical (link)
- 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.
- Wenninger, Magnus J. (Spring 1976). "Review of Infinite Polyhedra". Leonardo. 9 (2): 158. doi:10.2307/1573140. JSTOR 1573140.
- Reviews of A Theory of Imbedding, Immersion, and Isotopy of Polytopes in a Euclidean Space:
- Larmore, L. Mathematical Reviews. MR 0215305.CS1 maint: untitled periodical (link)
- Freudenthal, Hans. zbMATH. Zbl 0177.26402.CS1 maint: untitled periodical (link)
- Chilton, J. C. (April 2000). "Review of Beyond the Cube". Journal of the International Association for Shell and Spatial Structures. 41 (1): 132.
- 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.
- 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.
- Friedman, Michael (2018). A History of Folding in Mathematics: Mathematizing the Margins. Science Networks. Historical Studies. 59. Birkhäuser. p. 71. doi:10.1007/978-3-319-72487-4. ISBN 978-3-319-72486-7.
- 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.
- Schönflies, A. M. "Review of Zur Morphologie der Polyeder". Jahrbuch über die Fortschritte der Mathematik (in German). JFM 23.0544.03.
- 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.CS1 maint: untitled periodical (link)
- Rose, Paul Lawrence (1980). Bibliothèque d'Humanisme et Renaissance. 42 (2): 487–488. JSTOR 20676148.CS1 maint: untitled periodical (link)
- Maccagni, Carlo (1979). Annali della Scuola Normale Superiore di Pisa. Classe di Lettere e Filosofia (Serie III). 9 (4): 1909–1911. JSTOR 24305449.CS1 maint: untitled periodical (link)
- Reviews of Descartes on Polyhedra:
- Coxeter, H. S. M. (1984). Mathematical Reviews. MR 0680214.CS1 maint: untitled periodical (link)
- Führer, L. zbMATH (in German). Zbl 0498.01004.CS1 maint: untitled periodical (link)
- Kleinschmidt, Peter (May 1984). "Review" (PDF). Optima. Mathematical Programming Society. 12: 4–5.
- Senechal, Marjorie L. (August 1984). Historia Mathematica. 11 (3): 333–334. doi:10.1016/0315-0860(84)90044-2.CS1 maint: untitled periodical (link)
- Sherk, F. A. (January 1984). Book reviews: Mathematics and logic. Annals of Science. 41 (1): 95–96. doi:10.1080/00033798400200131.CS1 maint: untitled periodical (link)
- Reviews of Euler's Gem:
- Bradley, Robert (January 8, 2009). "Review". Times Higher Education.
- Bultheel, Adhemar (January 2020). "Review". EMS Reviews. European Mathematical Society.
- Ciesielski, Krzysztof. Mathematical Reviews. MR 2963735.CS1 maint: untitled periodical (link)
- Daems, Jeanine (December 2009). The Mathematical Intelligencer. 32 (3): 56–57. doi:10.1007/s00283-009-9116-0. S2CID 118637071.CS1 maint: untitled periodical (link)
- Jones, Dustin L. (August 2009). The Mathematics Teacher. National Council of Teachers of Mathematics. 103 (1): 87. JSTOR 20876528.CS1 maint: untitled periodical (link)
- Karpenkov, Oleg. zbMATH. Zbl 1153.55001.CS1 maint: untitled periodical (link)
- 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.CS1 maint: untitled periodical (link)
- Satzer, William J. (October 2008). "Review". MAA Reviews. Mathematical Association of America.
- Wagner, Clifford (February 2010). Convergence. Mathematical Association of America. doi:10.4169/loci003291.CS1 maint: untitled periodical (link)
- Prudence, Paul. "David Wade's 'Fantastic Geometry' – The Works of Wenzel Jamnitzer & Lorenz Stoer". Dataisnature.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.