This is a list of books about polyhedra.
Polyhedral models
editCut-out kits
edit- 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
edit- 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
edit- 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
editIntroductory level and general audience
edit- 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. 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
edit- 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
edit- 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 . 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
edit- 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
editEarly works
editListed in chronological order, and including some works shorter than book length:
- Plato. Timaeus (in Greek).
- Euclid. Elements (in Greek).
- Pappus of Alexandria (1589). Mathematicae collectiones, liber quintus. apud Franciscum de Franciscis Senensem.
- Della Francesca, Piero (1482–1492). De quinque corporibus regularibus [On the five regular bodies] (in Latin).
- Pacioli, Luca (1509). Divina proportione [Divine proportion] (in Italian).
- de Bovelles, Charles (1511). De mathematicis corporibus.[52]
- Dürer, Albrecht (1525). Underweysung der Messung, mit dem Zirckel und Richtscheyt, in Linien, Ebenen und gantzen corporen, Viertes Buch (in German).
- Maurolico, Francesco (1537). Compaginationes solidorum regularium.[53]
- Jamnitzer, Wenzel (1568). Perspectiva corporum regularium [Perspectives of the regular bodies].
- Kepler, Johannes (1619). Harmonices Mundi (in Latin). Translated into English as Harmonies of the World by C. G. Wallis (1939).
- Descartes, René (c. 1630). De solidorum elementis [On the elements of solids] (in Latin). Original manuscript lost; copy by Gottfried Wilhelm Leibniz reprinted and translated in Descartes on Polyhedra, Springer, 1982.
- Cowley, John Lodge (1758). An Appendix to Euclid's Elements in Seven Books, Containing Forty-two Copper-plates, In Which the Doctrine of Solids, Delivered in the XIth, XIIth, and XVth Books of Euclid, is Illustrated by New-invented Schemes Cut Out of Paste-Board. Watkins.
- Poinsot, Louis (1810). Mémoire sur les polygones et sur les polyèdres (in French).
- Marie, François-Charles-Michel (1835). Géométrie stéréographique, ou reliefs des polyèdres (in French). Paris. hdl:2027/ucm.531073766x.
- Schläfli, Ludwig (1901) [1852]. Graf, J. H. (ed.). Theorie der vielfachen Kontinuität. Republished by Cornell University Library historical math monographs 2010 (in German). Zürich, Basel: Georg & Co. ISBN 978-1-4297-0481-6.
- Wiener, Christian (1864). Über Vielecke und Vielflache. Teubner.
- Catalan, Eugène (1865). "Mémoire sur la théorie des polyèdres". Journal de l'École Polytechnique (in French). 24. hdl:2268/194785.
- Klein, Felix (1884). Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom 5ten Grade [Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree] (in German).
- Fedorov, E. S. (1885). Начала учения о фигурах [Introduction to the Theory of Figures] (in Russian).[54]
- Gorham, John (1888). A System for the Construction of Crystal Models on the Type of an Ordinary Plait: Exemplified by the Forms Belonging to the Six Axial Systems in Crystallography. Reprint, Tarquin, 2007, ISBN 978-1-899618-68-2.
- Eberhard, Victor (1891). Zur Morphologie der Polyeder [On the morphology of polyhedra]. Teubner.[55]
- von Lindemann, Ferdinand (1897). Zur Geschichte der Polyeder und der Zahlzeichen [History of Polyhedra and Numeral Signs] (in German). Munich: F. Straub. Reprinted from Sitz. Bay. Akad. Wiss. 1896, pp. 625–758.
- Brückner, Max (1900). Vielecke und Vielflache: Theorie und Geschichte (in German). Treubner. Über die gleicheckig-gleichflächigen diskontinuierlichen und nichtkonvexen Polyeder, 1906.
- Steinitz, Ernst (1934). Rademacher, Hans (ed.). Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie (in German).
Books about historical topics
edit- 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
edit- ^ 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.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Barnette, David (1997). Mathematical Reviews. MR 1375920.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Cannon, Mary Ellen (May 1997). Mathematics Teaching in the Middle School. 2 (6): 444–445. JSTOR 41181638.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Blackwell, Joan (March 1999). "Review". School Science and Mathematics. 99 (3). Wiley: 160. doi:10.1111/j.1949-8594.1999.tb17467.x. ProQuest 195202376.
- Plummer, Robert (December 1996). The Mathematics Teacher. 89 (9): 782. JSTOR 27970022.
- ^ Reviews of Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality:
- Murphey, Bonnie (January 2004). Mathematics Teaching in the Middle School. 9 (5): 288. JSTOR 41181919.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Kessler, Charlotte (January 2004). The Mathematics Teacher. 97 (1): 78. JSTOR 20871510.
{{cite journal}}
: CS1 maint: untitled periodical (link)
- Murphey, Bonnie (January 2004). Mathematics Teaching in the Middle School. 9 (5): 288. JSTOR 41181919.
- ^ Reviews of Modular Origami Polyhedra (2nd ed.):
- Böhm, Johannes. zbMATH. Zbl 1059.00005.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Johnston, Christopher (September 2002). Mathematics Teaching in the Middle School. 8 (1): 59, 62. JSTOR 41181231.
{{cite journal}}
: CS1 maint: untitled periodical (link)
- Böhm, Johannes. zbMATH. Zbl 1059.00005.
- ^ 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.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Leiva, Miriam A. (April 1989). The Arithmetic Teacher. 36 (8): 58–59. JSTOR 41193678.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Jacob, Wiliam (October 1994). The Mathematics Teacher. 87 (7): 572. JSTOR 27969009.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Provost, Mary D. (September–October 1995). Mathematics Teaching in the Middle School. 1 (6): 497–498. JSTOR 41181482.
{{cite journal}}
: CS1 maint: untitled periodical (link)
- Schmidt, Don (February 1989). The Mathematics Teacher. 82 (2): 145. JSTOR 27966155.
- ^ 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.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Ede, J. D. (March 1981). The Mathematical Gazette. 65 (431): 65. doi:10.2307/3617955. JSTOR 3617955.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Brisson, David W. (Winter 1982). Leonardo. 15 (1): 83. doi:10.2307/1574381. JSTOR 1574381.
{{cite journal}}
: CS1 maint: untitled periodical (link)
- Coxeter, H. S. M. (May–June 1980). American Scientist. 68 (3): 342. JSTOR 27849921.
- ^ Reviews of Dual Models:
- Ede, J. D. (December 1984). The Mathematical Gazette. 68 (446): 307. doi:10.2307/3616168. JSTOR 3616168.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Senechal, Marjorie (March–April 1985). American Scientist. 73 (2): 205. JSTOR 27853201.
{{cite journal}}
: CS1 maint: untitled periodical (link)
- Ede, J. D. (December 1984). The Mathematical Gazette. 68 (446): 307. doi:10.2307/3616168. JSTOR 3616168.
- ^ Reviews of Treks into Intuitive Geometry:
- Jacquemet, Matthieu. zbMATH. Zbl 1339.52001.
{{cite journal}}
: 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. S2CID 125467238.
{{cite journal}}
: CS1 maint: untitled periodical (link)
- Jacquemet, Matthieu. zbMATH. Zbl 1339.52001.
- ^ 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. S2CID 165718030.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Böhm, J. zbMATH. Zbl 0888.52012.
{{cite journal}}
: 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.
{{cite journal}}
: CS1 maint: untitled periodical (link) - McMullen, Peter (1998). Mathematical Reviews. MR 1458063.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Sandifer, Ed (February 1999). "Review". MAA Reviews. Mathematical Association of America.
- Bending, Thomas (March 1999). The Mathematical Gazette. 83 (496): 178–179. doi:10.2307/3618744. JSTOR 3618744. S2CID 165718030.
- ^ 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.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Peak, Philip (May 1972). The Mathematics Teacher. 65 (5): 447. JSTOR 27958944.
{{cite journal}}
: 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.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Moser, William (Winter 1973). Leonardo. 6 (1): 79. doi:10.2307/1572445. JSTOR 1572445.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Ayoub, Ayoub B. (September 1992). The Mathematics Teacher. 85 (6): 494. JSTOR 27967736.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Becker, Glenn (January 2016). "Review". MAA Reviews. Mathematical Association of America.
- Morrison, Philip (March 1972). Scientific American. 226 (3): 124–125. JSTOR 24927303.
- ^ Reviews of Les polyèdres:
- Pogoda, Zdzisław. Mathematical Reviews. MR 3088661.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Moreau, Jean (April 2010). "Review". La Jaune et La Rouge (in French). Vol. 654.
- Pogoda, Zdzisław. Mathematical Reviews. MR 3088661.
- ^ 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.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Gehringer, Joseph H. (May 1979). The Mathematics Teacher. 72 (5): 392. JSTOR 27961686.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Pedersen, Jean J. (August–September 1980). American Mathematical Monthly. 87 (7): 586–589. doi:10.2307/2321449. JSTOR 2321449.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Leonardo. 14 (1): 78. Winter 1981. doi:10.2307/1574520. JSTOR 1574520.
{{cite journal}}
: 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.
- McMullen, P. zbMATH. Zbl 0438.52006.
- ^ 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. S2CID 125888789.
- ^ 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.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Barnette, D. (1984). Mathematical Reviews. MR 0683612.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Anderson, Ian (June 1984). The Mathematical Gazette. 68 (444): 146–147. doi:10.2307/3615937. JSTOR 3615937.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Sallee, G. T. (March 1985). SIAM Review. 27 (1): 123–124. doi:10.1137/1027044. JSTOR 2031522.
{{cite journal}}
: CS1 maint: untitled periodical (link) - Lee, Carl W. (November 1986). The American Mathematical Monthly. 93 (9): 750–752. doi:10.2307/2322309. JSTOR 2322309.
{{cite journal}}
: CS1 maint: untitled periodical (link)
- Weinstein, J. zbMATH. Zbl 0509.52001.
- ^ Reviews of Regular Polytopes:
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- 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.
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: CS1 maint: untitled periodical (link) - Florian, A. zbMATH. Zbl 0134.15705.
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: 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.
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: 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.
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: CS1 maint: untitled periodical (link) - Goldberg, Michael (April 1965). Mathematics of Computation. 19 (89): 166. doi:10.2307/2004137. JSTOR 2004137.
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: CS1 maint: untitled periodical (link) - Edge, W. L. (October 1965). The Mathematical Gazette. 49 (369): 343–345. doi:10.2307/3612913. JSTOR 3612913.
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: CS1 maint: untitled periodical (link) - Du Val, Patrick (August–September 1966). American Mathematical Monthly. 73 (7): 799. doi:10.2307/2314022. JSTOR 2314022.
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- 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.
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- Kazarinoff, N. D. "Review of Smith translation". MathSciNet. MR 0161219.
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- 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.
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: CS1 maint: untitled periodical (link) - Bayer, Margaret M. (1996). MathSciNet. MR 1311028.
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: CS1 maint: untitled periodical (link) - McMullen, P. (February 1996). Proceedings of the Edinburgh Mathematical Society. 39 (1): 189–190. doi:10.1017/s0013091500022914.
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- Böhm, J. zbMATH. Zbl 0823.52002.
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- Bottema, O. zbMATH. Zbl 0019.13502.
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: CS1 maint: untitled periodical (link) - Miller, J. C. P. (February 1939). The Mathematical Gazette. 23 (253): 105–107. doi:10.2307/3605992. JSTOR 3605992.
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: CS1 maint: untitled periodical (link) - Cundy, H. Martyn (July 2002). The Mathematical Gazette. 86 (506): 360–361. doi:10.2307/3621904. JSTOR 3621904. S2CID 165245898.
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- Bottema, O. zbMATH. Zbl 0019.13502.
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- 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.
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- McMullen, P. (1992). "Review of 2nd ed". MathSciNet. MR 1119304.
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- Paquete, Luís (November 2009). European Journal of Operational Research. 199 (1): 311–313. doi:10.1016/j.ejor.2008.06.009.
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- Fasy, Brittany Terese; Millman, David L. (March 2011). ACM SIGACT News. 42 (1): 43–46. doi:10.1145/1959045.1959056. S2CID 6514501.
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- Dawson, Robert. zbMATH. Zbl 1054.52007.
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: CS1 maint: untitled periodical (link) - Ding, Ren (2005). MathSciNet. MR 2051396.
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- Dawson, Robert. zbMATH. Zbl 1054.52007.
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- Berg, Michael (June 2012). "Review". MAA Reviews. Mathematical Association of America.
- De Keyser, F. (December 1977). Tijdschrift voor Filosofie. 39 (4): 715. JSTOR 40884110.
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: CS1 maint: untitled periodical (link) - Ernest, Paul. MathSciNet. MR 0479916.
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: CS1 maint: untitled periodical (link) - Gasarch, William (December 2001). ACM SIGACT News. 32 (4): 6–8. doi:10.1145/568425.568428. S2CID 34342078.
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: CS1 maint: untitled periodical (link) - Hart, W. D. (April 1978). Mind. New Series. 87 (346): 314–316. doi:10.1093/mind/LXXXVII.2.314. JSTOR 2253443.
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: CS1 maint: untitled periodical (link) - Isaacson, Daniel (April 1978). The Philosophical Quarterly. 28 (111): 169–171. doi:10.2307/2219364. JSTOR 2219364.
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: CS1 maint: untitled periodical (link) - Kitcher, Philip (May 13, 1977). "On the uses of rigorous proof". Science. New Series. 196 (4291): 782–783. doi:10.1126/science.196.4291.782. JSTOR 1745123. PMID 17776902.
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: CS1 maint: untitled periodical (link) - Lenoir, Timothy (February 1981). Historia Mathematica. 8 (1): 99–104. doi:10.1016/0315-0860(81)90016-1.
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: CS1 maint: untitled periodical (link) - Lercher, Bruce (1978). International Studies in Philosophy. 10: 192–193. doi:10.5840/intstudphil19781029.
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: CS1 maint: untitled periodical (link) - Levin, Margarita R. (September 1980). Noûs. 14 (3): 474–478. doi:10.2307/2214971. JSTOR 2214971.
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: CS1 maint: untitled periodical (link) - McFetridge, I. G. (July 1977). Philosophy. 52 (201): 365–366. doi:10.1017/S003181910002725X. JSTOR 3749597. S2CID 170439797.
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: CS1 maint: untitled periodical (link) - Peak, Philip (May 1977). The Mathematics Teacher. 70 (5): 474–475. JSTOR 27960906.
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: CS1 maint: untitled periodical (link) - Quadling, D. A. (June 1977). The Mathematical Gazette. 61 (416): 145–146. doi:10.2307/3616424. JSTOR 3616424.
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: CS1 maint: untitled periodical (link) - Quine, W. V. (March 1977). The British Journal for the Philosophy of Science. 28 (1): 81–82. doi:10.1093/bjps/28.1.81. JSTOR 686451.
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: CS1 maint: untitled periodical (link) - Russo, F. (April–June 1978). Archives de Philosophie. 41 (2): 304–305. JSTOR 43034062.
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: CS1 maint: untitled periodical (link) - Satzer, William J. (April 2016). "Review". MAA Reviews. Mathematical Association of America.
- Schramm, Alfred (1980). "Vom Vermächtnis des Imre Lakatos". Philosophische Rundschau. 27 (1–2): 84–100. JSTOR 42571468.
- Toulmin, Stephen (Winter 1980). "The intellectual authority and the social context of the scientific enterprise: Holton, Rescher And Lakatos". Minerva. 18 (4): 652–667. JSTOR 41820442.
- ^ Review of Geometric Regular Polytopes:
- Sahoo, Uma Kant. zbMATH. Zbl 1454.51002.
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: CS1 maint: untitled periodical (link) - Martini, Horst (August 2003). Bulletin of the London Mathematical Society. 35 (5): 711–712. doi:10.1112/s0024609303219330.
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: CS1 maint: untitled periodical (link) - Živaljević, Rade (2004). MathSciNet. MR 1965665.
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- Coxeter, H. S. M. Mathematical Reviews. MR 0301635.
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: CS1 maint: untitled periodical (link) - Schneider, R. zbMATH. Zbl 0217.46702.
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- ^ 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.
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: CS1 maint: untitled periodical (link) - Hertel, E. (2003). Mathematical Reviews. MR 1891668.
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- do Rosário Pinto, Maria. zbMATH. Zbl 1030.52012.
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- McMullen, P. zbMATH. Zbl 0866.52009.
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: CS1 maint: untitled periodical (link) - Bayer, Margaret M. (1999). Mathematical Reviews. MR 1482230.
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- 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.
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- Larmore, L. Mathematical Reviews. MR 0215305.
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: CS1 maint: untitled periodical (link) - Freudenthal, Hans. zbMATH. Zbl 0177.26402.
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- Larmore, L. Mathematical Reviews. MR 0215305.
- ^ Review of Convex Polyhedra with Regular Faces:
- Pogorelov, A. V. "Review of Russian ed". Mathematical Reviews. MR 0227860.
- ^ 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. Vol. 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 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.
- Livingstone, Jo (April 2022). "The Polyhedrists: Linear perspective, schmlinear perspective: here are the real shapes that changed how we see". 4Columns.
- Sarkar, Amites (October 2022). Math Horizons. 30 (2): 28. doi:10.1080/10724117.2022.2113253. S2CID 253184987.
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: CS1 maint: untitled periodical (link) - Sonar, Thomas. zbMATH. Zbl 1502.01004.
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- ^ 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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: CS1 maint: untitled periodical (link) - Rose, Paul Lawrence (1980). Bibliothèque d'Humanisme et Renaissance. 42 (2): 487–488. JSTOR 20676148.
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: 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.
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- Tormey, Judith Farr (Spring 1979). The Journal of Aesthetics and Art Criticism. 37 (3): 389–390. doi:10.2307/430812. JSTOR 430812.
- ^ Reviews of Descartes on Polyhedra:
- Coxeter, H. S. M. (1984). Mathematical Reviews. MR 0680214.
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: CS1 maint: untitled periodical (link) - Führer, L. zbMATH (in German). Zbl 0498.01004.
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: CS1 maint: untitled periodical (link) - Kleinschmidt, Peter (May 1984). "Review" (PDF). Optima. 12. Mathematical Programming Society: 4–5.
- Senechal, Marjorie L. (August 1984). Historia Mathematica. 11 (3): 333–334. doi:10.1016/0315-0860(84)90044-2.
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: 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.
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- 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.
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: 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.
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: CS1 maint: untitled periodical (link) - Jones, Dustin L. (August 2009). The Mathematics Teacher. 103 (1). National Council of Teachers of Mathematics: 87. JSTOR 20876528.
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: CS1 maint: untitled periodical (link) - Karpenkov, Oleg. zbMATH. Zbl 1153.55001.
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: 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. S2CID 233362179.
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: 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 (inactive 1 November 2024).
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- ^ Prudence, Paul. "David Wade's 'Fantastic Geometry' – The Works of Wenzel Jamnitzer & Lorenz Stoer". Dataisnature.