List of books about polyhedra
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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) (in French). Les polyèdres, ou la beauté des mathématiques (4th ed.). Self-published.[19]
- Miyazaki, Koji (1983) (in ja). Katachi to kūkan: Tajigen sekai no kiseki. 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) (in ru). Выпуклые фигуры и многогранники. 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) (in de). Reguläre und halbreguläre Polyeder. 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 [math]\displaystyle{ \mathbb{Z}_n }[/math]. 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. 172. Cambridge University Press.[40]
- McMullen, Peter; Schulte, Egon (2002). Abstract Regular Polytopes. Encyclopedia of Mathematics and its Applications. 92. Cambridge University Press.[41]
- McMullen, Peter; Shephard, G. C. (1971). Convex Polytopes and the Upper Bound Conjecture. London Mathematical Society Lecture Note Series. 3. Cambridge University Press.[42]
- Nef, Walter (1978) (in de). Beiträge zur Theorie der Polyeder: Mit Anwendungen in der Computergraphik. Herbert Lang.[43]
- Rajwade, A. R. (2001). Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. 21. Hindustan Book Agency.[44]
- Richter-Gebert, Jürgen (1996). Realization Spaces of Polytopes. Lecture Notes in Mathematics. 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) (in ru). Выпуклые многогранники с правильными гранями. Zapiski Naučnyh Seminarov Leningradskogo Otdelenija Matematičeskogo Instituta im. V. A. Steklova Akademii Nauk SSSR (LOMI). 2. Nauka. http://mi.mathnet.ru/znsl1408.[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. 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. 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 (in el). Timaeus.
- Euclid (in el). Elements.
- Pappus of Alexandria (1589). Mathematicae collectiones, liber quintus. apud Franciscum de Franciscis Senensem. https://archive.org/details/bub_gb_YTKUNyiY8sEC/page/n153/mode/2up.
- Della Francesca, Piero (1482–1492) (in la). De quinque corporibus regularibus.
- Pacioli, Luca (1509) (in it). Divina proportione.
- de Bovelles, Charles (1511). De mathematicis corporibus.[52]
- Dürer, Albrecht (1525) (in de). Underweysung der Messung, mit dem Zirckel und Richtscheyt, in Linien, Ebenen und gantzen corporen, Viertes Buch. https://de.wikisource.org/wiki/Underweysung_der_Messung,_mit_dem_Zirckel_und_Richtscheyt,_in_Linien,_Ebenen_unnd_gantzen_corporen/Viertes_Buch.
- Maurolico, Francesco (1537). Compaginationes solidorum regularium.[53]
- Jamnitzer, Wenzel (1568). Perspectiva corporum regularium.
- Kepler, Johannes (1619) (in la). Harmonices Mundi. Translated into English as Harmonies of the World by C. G. Wallis (1939).
- Descartes, René (c. 1630) (in la). De solidorum elementis. 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) (in fr). Mémoire sur les polygones et sur les polyèdres.
- Marie, François-Charles-Michel (1835) (in fr). Géométrie stéréographique, ou reliefs des polyèdres. Paris.
- Schläfli, Ludwig (1901). Graf, J. H.. ed (in de). Theorie der vielfachen Kontinuität. Republished by Cornell University Library historical math monographs 2010. Zürich, Basel: Georg & Co.. ISBN 978-1-4297-0481-6. https://books.google.com/books?id=foIUAQAAMAAJ.
- Wiener, Christian (1864). Über Vielecke und Vielflache. Teubner. https://archive.org/details/bervieleckeundv01wiengoog.
- Catalan, Eugène (1865). "Mémoire sur la théorie des polyèdres" (in fr). Journal de l'École Polytechnique 24.
- Klein, Felix (1884) (in de). Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom 5ten Grade.
- Fedorov, E. S. (1885) (in ru). Начала учения о фигурах.[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. https://archive.org/details/asystemforconst00gorhgoog. Reprint, Tarquin, 2007, ISBN 978-1-899618-68-2.
- Eberhard, Victor (1891). Zur Morphologie der Polyeder. Teubner. https://archive.org/details/zurmorphologied01ebergoog.[55]
- von Lindemann, Ferdinand (1897) (in de). Zur Geschichte der Polyeder und der Zahlzeichen. Munich: F. Straub. https://books.google.com/books?id=xKGsp8WMu28C. Reprinted from Sitz. Bay. Akad. Wiss. 1896, pp. 625–758.
- Brückner, Max (1900) (in de). Vielecke und Vielflache: Theorie und Geschichte. Treubner. https://archive.org/details/vieleckeundviel00brgoog. Über die gleicheckig-gleichflächigen diskontinuierlichen und nichtkonvexen Polyeder, 1906.
- Steinitz, Ernst (1934). Rademacher, Hans. ed (in de). Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie.
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) (in fr). Histoire des polyèdres: Quand la nature est géomètre. 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.[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
- ↑ Neal, David (March 1987). "Tarquin Polyhedra (review of Paper Polyhedra in Colour)". Mathematics in School 16 (2): 47.
- ↑ "Science News Books". Science News 144 (21): 335–350. November 20, 1993. Includes a brief review of Unit Origami: Multidimensional Transformations on p. 350.
- ↑ Reviews of 3D Geometric Origami: Modular Origami Polyhedra:
- Plummer, Robert (December 1996). "none". The Mathematics Teacher 89 (9): 782.
- Barnette, David (1997). "none". Mathematical Reviews.
- Cannon, Mary Ellen (May 1997). "none". Mathematics Teaching in the Middle School 2 (6): 444–445.
- Blackwell, Joan (March 1999). "Review". School Science and Mathematics (Wiley) 99 (3): 160. doi:10.1111/j.1949-8594.1999.tb17467.x. ProQuest 195202376. https://www.proquest.com/docview/195202376.
- ↑ Reviews of Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality:
- Murphey, Bonnie (January 2004). "none". Mathematics Teaching in the Middle School 9 (5): 288.
- Kessler, Charlotte (January 2004). "none". The Mathematics Teacher 97 (1): 78.
- ↑ Reviews of Modular Origami Polyhedra (2nd ed.):
- Böhm, Johannes. "none". zbMATH.
- Johnston, Christopher (September 2002). "none". Mathematics Teaching in the Middle School 8 (1): 59, 62.
- ↑ Ollerton, Mike (January 1998). "Review of Mathematical Origami: Geometrical Shapes by Paper Folding". Mathematics in School 27 (1): 47.
- ↑ Reviews of Origami Polyhedra Design:
- Hagedorn, Thomas R. (April 2010). "Review". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/origami-polyhedra-design.
- Luck, Gary S. (March 2011). "none". The Mathematics Teacher 104 (7): 558.
- Thomas, Rachel (December 2009). "Review". Plus Magazine. https://plus.maths.org/content/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.
- ↑ Reviews of Mathematical Models:
- Goldberg, M.. "Review of 1st ed.". Mathematical Reviews.
- Müller, H. R.. "Review of 1st ed." (in German). zbMATH. 2nd ed., Zbl 0095.38001.
- ter Haar, D. (March 1953). "Briefly reviewed (review of 1st ed.)". The Scientific Monthly 76 (3): 188–189.
- Stone, Abraham (April 1953). "Review of 1st ed.". Scientific American 188 (4): 110.
- Dorrington, B. J. F. (September 1953). "Review of 1st ed.". The Mathematical Gazette 37 (321): 223. doi:10.2307/3608314.
- Ogilvy, C. Stanley (November 1959). "Review of 1st ed.". The Mathematics Teacher 52 (7): 577–578.
- Coxeter, H. S. M. (December 1962). "Review of 2nd ed.". The Mathematical Gazette 46 (358): 331. doi:10.2307/3611791.
- ↑ Reviews of Build Your Own Polyhedra:
- Schmidt, Don (February 1989). "none". The Mathematics Teacher 82 (2): 145.
- Leiva, Miriam A. (April 1989). "none". The Arithmetic Teacher 36 (8): 58–59.
- Jacob, Wiliam (October 1994). "none". The Mathematics Teacher 87 (7): 572.
- Provost, Mary D. (September–October 1995). "none". Mathematics Teaching in the Middle School 1 (6): 497–498.
- ↑ Reviews of Polyhedron Models:
- Peak, Philip (May 1972). "Review of 1st ed.". The Mathematics Teacher 65 (5): 446.
- Harker, David (May 12, 1972). "Planes, solids, and nolids". Science. New Series 176 (4035): 653–655.
- Quadling, D. A. (October 1972). "Review of 1st ed.". The Mathematical Gazette 56 (397): 256. doi:10.2307/3617024.
- Loeb, Arthur L. (Winter 1974). "Review of 1st ed.". Leonardo 7 (1): 82–83. doi:10.2307/1572763.
- Ando, Masue (October 1976). "Review of 2nd ed.". The Arithmetic Teacher 23 (6): 449.
- Bristol, James D. (December 1976). "Review of 2nd ed.". The Mathematics Teacher 69 (8): 698.
- ↑ Reviews of Spherical Models:
- Coxeter, H. S. M. (May–June 1980). "none". American Scientist 68 (3): 342.
- Ede, J. D. (March 1981). "none". The Mathematical Gazette 65 (431): 65. doi:10.2307/3617955.
- Brisson, David W. (Winter 1982). "none". Leonardo 15 (1): 83. doi:10.2307/1574381.
- ↑ Reviews of Dual Models:
- Ede, J. D. (December 1984). "none". The Mathematical Gazette 68 (446): 307. doi:10.2307/3616168.
- Senechal, Marjorie (March–April 1985). "none". American Scientist 73 (2): 205.
- ↑ Reviews of Treks into Intuitive Geometry:
- Jacquemet, Matthieu. "none". zbMATH.
- Brown, Tricia Muldoon (April 2016). "Review". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/treks-into-intuitive-geometry.
- Fox, Michael (October 2017). "none". The Mathematical Gazette 101 (552): 565–568. doi:10.1017/mag.2017.164.
- ↑ Callahan, Deborah D. (September 2002). "Review of Polyhedra Pastimes". Mathematics Teaching in the Middle School 8 (1): 64.
- ↑ Reviews of Polyhedra:
- Bending, Thomas (March 1999). "none". The Mathematical Gazette 83 (496): 178–179. doi:10.2307/3618744.
- Böhm, J.. "none". zbMATH.
- Casselman, Bill (September 1998). "Review". Notices of the American Mathematical Society 45 (8): 978–980. https://www.ams.org/notices/199808/review-casselman.pdf.
- Grabiner, Judith V. (December 1998). "none". Isis 89 (4): 714–715. doi:10.1086/384173.
- McMullen, Peter (1998). "none". Mathematical Reviews.
- Sandifer, Ed (February 1999). "Review". MAA Reviews (Mathematical Association of America). https://www.maa.org/press/maa-reviews/polyhedra.
- ↑ Hayek, Linda M. (April 1994). "Review of The Platonic Solids Activity Book". The Mathematics Teacher 87 (4): 298.
- ↑ Reviews of Shapes, Space and Symmetry:
- Morrison, Philip (March 1972). "none". Scientific American 226 (3): 124–125.
- Peak, Philip (May 1972). "none". The Mathematics Teacher 65 (5): 447.
- Harker, David (May 12, 1972). "Planes, solids, and nolids". Science. New Series 176 (4035): 653–655.
- Hersee, John (December 1972). "none". The Mathematical Gazette 56 (398): 338–339. doi:10.2307/3617853.
- Moser, William (Winter 1973). "none". Leonardo 6 (1): 79. doi:10.2307/1572445.
- Ayoub, Ayoub B. (September 1992). "none". The Mathematics Teacher 85 (6): 494.
- Becker, Glenn (January 2016). "Review". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/shapes-space-and-symmetry.
- ↑ Reviews of Les polyèdres:
- Pogoda, Zdzisław. "none". Mathematical Reviews.
- Moreau, Jean (April 2010). "Review" (in French). La Jaune et La Rouge 654. https://www.lajauneetlarouge.com/les-polyedres-ou-la-beaute-des-mathematiques/.
- ↑ Grünbaum, Branko (January–February 1988). "Review of An Adventure in Multidimensional Space". American Scientist 76 (1): 94–95.
- ↑ Reviews of Polyhedra Primer:
- McMullen, P.. "none". zbMATH.
- Gehringer, Joseph H. (May 1979). "none". The Mathematics Teacher 72 (5): 392.
- Pedersen, Jean J. (August–September 1980). "none". American Mathematical Monthly 87 (7): 586–589. doi:10.2307/2321449.
- "none". Leonardo 14 (1): 78. Winter 1981. doi:10.2307/1574520.
- Thakare, N. K. (July–December 2015). "Review". The Mathematics Student 84 (3–4): 177. http://www.indianmathsociety.org.in/mathstudent-part-2-2015.pdf.
- Schulte, Tom (January 2016). "Review". MAA Reviews. https://www.maa.org/press/maa-reviews/polyhedra-primer.
- ↑ Coxeter, H. S. M.. "Review of Polyhedra: A Visual Approach". Mathematical Reviews.
- ↑ Ashbacher, Charles (November 2008). "Review of The Platonic Solids Book". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/the-platonic-solids-book.
- ↑ Hoehn, Larry (February 2003). "Publications". The Mathematics Teacher 96 (2): 154. doi:10.5951/MT.96.2.0154. Review of three books including Platonic & Archimedean Solids.
- ↑ Reviews of Convex Polyhedra:
- Busemann, H.. "Review of Russian ed.". Mathematical Reviews.
- Kaloujnine, L.. "Review of Russian ed." (in German). zbMATH.
- Connelly, Robert (March 2006). "Review of translation". SIAM Review 48 (1): 157–160. doi:10.1137/SIREAD000048000001000149000001. http://pi.math.cornell.edu/~connelly/alexandrov.pdf.
- Gorkaviy, Vasyl. "Review of translation". zbMATH.
- Ruane, P. N. (November 2006). "Review of translation". The Mathematical Gazette 90 (519): 557–558. doi:10.1017/S002555720018074X.
- ↑ Reviews of Computing the Continuous Discretely:
- Bayer, Margaret M.. "Review of 1st ed.". zbMATH.
- De Loera, Jesús A. (2007). "Review of 1st ed.". Mathematical Reviews.
- Glass, Darren (February 2007). "Review of 1st ed.". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/computing-the-continuous-discretely-integer-point-enumeration-in-polyhedra.
- Karpenkov, Oleg. "Review of 2nd ed.". zbMATH.
- ↑ Reviews of An Introduction to Convex Polytopes:
- Weinstein, J.. "none". zbMATH.
- Barnette, D. (1984). "none". Mathematical Reviews.
- Anderson, Ian (June 1984). "none". The Mathematical Gazette 68 (444): 146–147. doi:10.2307/3615937.
- Sallee, G. T. (March 1985). "none". SIAM Review 27 (1): 123–124. doi:10.1137/1027044.
- Lee, Carl W. (November 1986). "none". The American Mathematical Monthly 93 (9): 750–752. doi:10.2307/2322309.
- ↑ Reviews of Regular Polytopes:
- Goldberg, M.. "Review of 1st ed.". Mathematical Reviews.
- Fejes Tóth, L.. "Review of 1st ed.". zbMATH.
- Cundy, H. Martyn (February 1949). "Review of 1st ed.". The Mathematical Gazette 33 (303): 47–49. doi:10.2307/3608432.
- 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. https://projecteuclid.org/euclid.bams/1183513951.
- Miller, J. C. P. (July 1949). "Review of 1st ed.". Science Progress 37 (147): 563–564.
- Walsh, J. L. (August 1949). "Review of 1st ed.". Scientific American 181 (2): 58–59.
- Frueh, A. J. Jr. (November 1950). "Review of 1st ed.". The Journal of Geology 58 (6): 672. doi:10.1086/625793.
- Wolfe, H. E. (February 1951). "Review of 1st ed.". American Mathematical Monthly 58 (2): 119–120. doi:10.2307/2308393.
- Robinson, G. de B.. "Review of 2nd ed.". Mathematical Reviews.
- Goldberg, Michael (January 1964). "Review of 2nd ed.". Mathematics of Computation 18 (85): 166. doi:10.2307/2003446.
- 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.
- Wenninger, Magnus J. (Winter 1976). "Review of 3rd ed.". Leonardo 9 (1): 83. doi:10.2307/1573335.
- Brown, Tricia Muldoon (October 2016). "Review of 3rd ed.". MAA Reviews (Mathematical Association of America). https://www.maa.org/press/maa-reviews/regular-polytopes.
- ↑ Reviews of Regular Figures:
- Sherk, F. A.. "none". Mathematical Reviews.
- Florian, A.. "none". zbMATH.
- Coxeter, H. S. M. (December 4, 1964). "Geometry". Science. New Series 146 (3649): 1288. doi:10.1126/science.146.3649.1288.
- Todd, J. A. (December 1964). "none". Proceedings of the Edinburgh Mathematical Society 14 (2): 174–175. doi:10.1017/s0013091500026055.
- Rogers, C. A. (1965). "none". Journal of the London Mathematical Society s1-40 (1): 378. doi:10.1112/jlms/s1-40.1.378a.
- Goldberg, Michael (April 1965). "none". Mathematics of Computation 19 (89): 166. doi:10.2307/2004137.
- Edge, W. L. (October 1965). "none". The Mathematical Gazette 49 (369): 343–345. doi:10.2307/3612913.
- Du Val, Patrick (August–September 1966). "none". American Mathematical Monthly 73 (7): 799. doi:10.2307/2314022.
- ↑ Reviews of Convex Polytopes:
- Sallee, G. T.. "Review of 1st ed.". MathSciNet.
- Jucovič, E.. "Review of 1st ed." (in German). zbMATH.
- Fenchel, Werner (Winter 1968). "Review of 1st ed.". American Scientist 56 (4): 476A–477A.
- Baxandall, P. R. (October 1969). "Review of 1st ed.". The Mathematical Gazette 53 (385): 342–343. doi:10.2307/3615008.
- Ehrig, G.. "Review of 2nd ed." (in German). zbMATH.
- Zvonkin, Alexander (2004). "Review of 2nd ed.". MathSciNet.
- Lord, Nick (March 2005). "Review of 2nd ed.". The Mathematical Gazette 89 (514): 164–166. doi:10.1017/S0025557200177307.
- 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" (in de). zbMATH.
- Kazarinoff, N. D.. "Review of Smith translation". MathSciNet.
- Eves, Howard (March 1965). "Review of Smith translation". Mathematics Magazine 38 (2): 113. doi:10.2307/2688443.
- ↑ Jucovič, E.. "Review of Reguläre und halbreguläre Polyeder" (in de). MathSciNet.
- ↑ Reviews of Lectures in Geometric Combinatorics:
- Bóna, Miklós (April 2007). "Review". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/lectures-in-geometric-combinatorics.
- Gorkaviy, Vasyl. "Review of Lectures in Geometric Combinatorics". zbMATH.
- mloe (June 2011). "Review of Lectures in Geometric Combinatorics". EMS Reviews. European Mathematical Society. https://euro-math-soc.eu/review/lectures-geometric-combinatorics.
- Zvonkin, Alexander (2007). "Review of Lectures in Geometric Combinatorics". Mathematical Reviews.
- ↑ Reviews of Lectures on Polytopes:
- Böhm, J.. "none". zbMATH.
- Bayer, Margaret M. (1996). "none". MathSciNet.
- McMullen, P. (February 1996). "none". Proceedings of the Edinburgh Mathematical Society 39 (1): 189–190. doi:10.1017/s0013091500022914.
- ↑ Reviews of The Fifty-Nine Icosahedra:
- Bottema, O.. "none". zbMATH.
- Miller, J. C. P. (February 1939). "none". The Mathematical Gazette 23 (253): 105–107. doi:10.2307/3605992.
- Cundy, H. Martyn (July 2002). "none". The Mathematical Gazette 86 (506): 360–361. doi:10.2307/3621904.
- ↑ Reviews of Regular Complex Polytopes:
- Jucovič, E.. "Review of 1st ed.". zbMATH.
- Guggenheimer, H. W.. "Review of 1st ed.". MathSciNet.
- Schwarzenberger, R. L. E. (October 1975). "Review of 1st ed.". The Mathematical Gazette 59 (409): 196–197. doi:10.2307/3617711.
- 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.
- McMullen, P. (1992). "Review of 2nd ed.". MathSciNet.
- Cannon, Lawrence O. (April 1992). "Review of 2nd ed.". The Mathematics Teacher 85 (4): 316.
- ↑ Reviews of Geometric Folding Algorithms:
- Carbno, Collin (May 2009). "Review". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/geometric-folding-algorithms-linkages-origami-polyhedra.
- Paquete, Luís (November 2009). "none". European Journal of Operational Research 199 (1): 311–313. doi:10.1016/j.ejor.2008.06.009.
- mbec (2011). "Review". EMS Reviews. European Mathematical Society. https://euro-math-soc.eu/review/geometric-folding-algorithms-linkages-origami-polyhedra.
- Fasy, Brittany Terese; Millman, David L. (March 2011). "none". ACM SIGACT News 42 (1): 43–46. doi:10.1145/1959045.1959056.
- ↑ Reviews of Scale-Isometric Polytopal Graphs:
- Dawson, Robert. "none". zbMATH.
- Ding, Ren (2005). "none". MathSciNet.
- ↑ Reviews of Proofs and Refutations:
- Berg, Michael (June 2012). "Review". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/proofs-and-refutations-the-logic-of-mathematical-discovery.
- De Keyser, F. (December 1977). "none". Tijdschrift voor Filosofie 39 (4): 715.
- Ernest, Paul. "none". MathSciNet.
- Gasarch, William (December 2001). "none". ACM SIGACT News 32 (4): 6–8. doi:10.1145/568425.568428.
- Hart, W. D. (April 1978). "none". Mind. New Series 87 (346): 314–316. doi:10.1093/mind/LXXXVII.2.314.
- Isaacson, Daniel (April 1978). "none". The Philosophical Quarterly 28 (111): 169–171. doi:10.2307/2219364.
- Kitcher, Philip (May 13, 1977). "On the uses of rigorous proof". Science. New Series 196 (4291): 782–783. doi:10.1126/science.196.4291.782. PMID 17776902.
- Kneebone, G. T.. "none". zbMATH.
- Lenoir, Timothy (February 1981). "none". Historia Mathematica 8 (1): 99–104. doi:10.1016/0315-0860(81)90016-1.
- Lercher, Bruce (1978). "none". International Studies in Philosophy 10: 192–193. doi:10.5840/intstudphil19781029.
- Levin, Margarita R. (September 1980). "none". Noûs 14 (3): 474–478. doi:10.2307/2214971.
- McFetridge, I. G. (July 1977). "none". Philosophy 52 (201): 365–366. doi:10.1017/S003181910002725X.
- Peak, Philip (May 1977). "none". The Mathematics Teacher 70 (5): 474–475.
- Quadling, D. A. (June 1977). "none". The Mathematical Gazette 61 (416): 145–146. doi:10.2307/3616424.
- Quine, W. V. (March 1977). "none". The British Journal for the Philosophy of Science 28 (1): 81–82. doi:10.1093/bjps/28.1.81.
- Russo, F. (April–June 1978). "none". Archives de Philosophie 41 (2): 304–305.
- Satzer, William J. (April 2016). "Review". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/proofs-and-refutations-the-logic-of-mathematical-discovery-0.
- Schramm, Alfred (1980). "Vom Vermächtnis des Imre Lakatos". Philosophische Rundschau 27 (1–2): 84–100.
- Toulmin, Stephen (Winter 1980). "The intellectual authority and the social context of the scientific enterprise: Holton, Rescher And Lakatos". Minerva 18 (4): 652–667.
- ↑ Review of Geometric Regular Polytopes:
- Sahoo, Uma Kant. "none". zbMATH.
- ↑ Reviews of Abstract Regular Polytopes:
- Hartley, Michael Ian. "none". zbMATH.
- Martini, Horst (August 2003). "none". Bulletin of the London Mathematical Society 35 (5): 711–712. doi:10.1112/s0024609303219330.
- Živaljević, Rade (2004). "none". MathSciNet.
- ↑ Reviews of Convex Polytopes and the Upper Bound Conjecture:
- Coxeter, H. S. M.. "none". Mathematical Reviews.
- Schneider, R.. "none". zbMATH.
- ↑ Hertel, E.. "Review of Beiträge zur Theorie der Polyeder" (in de). MathSciNet.
- ↑ Reviews of Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem:
- do Rosário Pinto, Maria. "none". zbMATH.
- Hertel, E. (2003). "none". Mathematical Reviews.
- ↑ Reviews of Realization Spaces of Polytopes:
- McMullen, P.. "none". zbMATH.
- Bayer, Margaret M. (1999). "none". Mathematical Reviews.
- ↑ Reviews of Adventures Among the Toroids:
- Coxeter, H. S. M.. "Review of 1st ed.". Mathematical Reviews.
- Coxeter, H. S. M. (1982). "Review of 2nd ed.". Mathematical Reviews.
- Crapo, Henry (1980). "Review of 2nd ed.". Structural Topology 5: 45–48. http://www-iri.upc.es/people/ros/StructuralTopology/ST5/st5-09-a5-ocr.pdf.
- "Review of 1st ed." (in German). zbMATH.
- "Review of 2nd ed.". zbMATH.
- ↑ Wenninger, Magnus J. (Spring 1976). "Review of Infinite Polyhedra". Leonardo 9 (2): 158. doi:10.2307/1573140.
- ↑ Reviews of A Theory of Imbedding, Immersion, and Isotopy of Polytopes in a Euclidean Space:
- Larmore, L.. "none". Mathematical Reviews.
- Freudenthal, Hans. "none". zbMATH.
- ↑ Review of Convex Polyhedra with Regular Faces:
- Pogorelov, A. V.. "Review of Russian ed.". Mathematical Reviews.
- ↑ 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.
- Crowe, Donald W. (January–February 1989). "Review of 1st ed.". American Scientist 77 (1): 72.
- Karaali, Gizem (December 2013). "Review of 2nd ed.". MAA Reviews. Mathematical Association of America. https://www.maa.org/press/maa-reviews/shaping-space-exploring-polyhedra-in-nature-art-and-the-geometrical-imagination.
- ↑ 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.
- ↑ 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" (in en,fr). Structural Topology (10): 5–22.
- ↑ Schönflies, A. M.. "Review of Zur Morphologie der Polyeder" (in German). Jahrbuch über die Fortschritte der Mathematik.
- ↑ Reviews of The Polyhedrists:
- Bultheel, Adhemar (September 2022). "Review". EMS Magazine (125): 48–49. doi:10.4171/mag/93. https://lirias.kuleuven.be/retrieve/676716.
- 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.
- Livingstone, Jo (April 2022). "The Polyhedrists: Linear perspective, schmlinear perspective: here are the real shapes that changed how we see". 4Columns. https://4columns.org/livingstone-jo/the-polyhedrists.
- Sarkar, Amites (October 2022). "none". Math Horizons 30 (2): 28. doi:10.1080/10724117.2022.2113253.
- Sonar, Thomas. "none". zbMATH.
- ↑ Reviews of Piero della Francesca's Mathematical Treatises:
- Tormey, Judith Farr (Spring 1979). "none". The Journal of Aesthetics and Art Criticism 37 (3): 389–390. doi:10.2307/430812.
- Rose, Paul Lawrence (1980). "none". Bibliothèque d'Humanisme et Renaissance 42 (2): 487–488.
- Maccagni, Carlo (1979). "none". Annali della Scuola Normale Superiore di Pisa. Classe di Lettere e Filosofia (Serie III) 9 (4): 1909–1911.
- ↑ Reviews of Descartes on Polyhedra:
- Coxeter, H. S. M. (1984). "none". Mathematical Reviews.
- Führer, L.. "none" (in German). zbMATH.
- Kleinschmidt, Peter (May 1984). "Review". Optima (Mathematical Programming Society) 12: 4–5. https://www.mathopt.org/Old-Optima-Issues/optima12.pdf.
- Senechal, Marjorie L. (August 1984). "none". Historia Mathematica 11 (3): 333–334. doi:10.1016/0315-0860(84)90044-2.
- Sherk, F. A. (January 1984). "none". Annals of Science 41 (1): 95–96. doi:10.1080/00033798400200131.
- ↑ Reviews of Euler's Gem:
- Bradley, Robert (January 8, 2009). Review. https://www.timeshighereducation.com/books/eulers-gem-the-polyhedron-formula-and-the-birth-of-topology/404921.article.
- Bultheel, Adhemar (January 2020). "Review". EMS Reviews (European Mathematical Society). https://euro-math-soc.eu/review/eulers-gem-0.
- Ciesielski, Krzysztof. "none". Mathematical Reviews.
- Daems, Jeanine (December 2009). "none". The Mathematical Intelligencer 32 (3): 56–57. doi:10.1007/s00283-009-9116-0.
- Jones, Dustin L. (August 2009). "none". The Mathematics Teacher (National Council of Teachers of Mathematics) 103 (1): 87.
- Karpenkov, Oleg. "none". zbMATH.
- Martin, Jeremy (December 2010). "Review". Notices of the American Mathematical Society 57 (11): 1448–1450. https://www.ams.org/notices/201011/rtx101101448p.pdf.
- Roth, Bruce (March 2010). "none". The Mathematical Gazette 94 (529): 176–177. doi:10.1017/S0025557200007397.
- Satzer, William J. (October 2008). "Review". MAA Reviews (Mathematical Association of America). https://www.maa.org/press/maa-reviews/eulers-gem-the-polyhedron-formula-and-the-birth-of-topology.
- Wagner, Clifford (February 2010). "none". Convergence (Mathematical Association of America). doi:10.4169/loci003291.
- ↑ Prudence, Paul. "David Wade's 'Fantastic Geometry' – The Works of Wenzel Jamnitzer & Lorenz Stoer". Dataisnature. https://www.dataisnature.com/?p=2048.
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