Cube (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Cube" in English language version.

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38books.google.com

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mathscinet.ams.org

Johnson, Norman W. (1966). "Convex polyhedra with regular faces". Canadian Journal of Mathematics. 18: 169–200. doi:10.4153/cjm-1966-021-8. MR 0185507. S2CID 122006114. Zbl 0132.14603. See table II, line 3.
Jessen, Børge (1967). "Orthogonal icosahedra". Nordisk Matematisk Tidskrift. 15 (2): 90–96. JSTOR 24524998. MR 0226494.
Cundy, H. Martyn; Rollett, A.P. (1961). "3.2 Duality". Mathematical models (2nd ed.). Oxford: Clarendon Press. pp. 78–79. MR 0124167.
Horvat, Boris; Pisanski, Tomaž (2010). "Products of unit distance graphs". Discrete Mathematics. 310 (12): 1783–1792. doi:10.1016/j.disc.2009.11.035. MR 2610282.
Gruber, Peter M. (2007). "Chapter 16: Volume of Polytopes and Hilbert's Third Problem". Convex and Discrete Geometry. Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Vol. 336. Springer, Berlin. pp. 280–291. doi:10.1007/978-3-540-71133-9. ISBN 978-3-540-71132-2. MR 2335496.
Lagarias, J. C.; Moews, D. (1995). "Polytopes that fill $\mathbb {R} ^{n}$ and scissors congruence". Discrete & Computational Geometry. 13 (3–4): 573–583. doi:10.1007/BF02574064. MR 1318797.
Erdahl, R. M. (1999). "Zonotopes, dicings, and Voronoi's conjecture on parallelohedra". European Journal of Combinatorics. 20 (6): 527–549. doi:10.1006/eujc.1999.0294. MR 1703597.. Voronoi conjectured that all tilings of higher dimensional spaces by translates of a single convex polytope are combinatorially equivalent to Voronoi tilings, and Erdahl proves this in the special case of zonotopes. But as he writes (p. 429), Voronoi's conjecture for dimensions at most four was already proven by Delaunay. For the classification of three-dimensional parallelohedra into these five types, see Grünbaum, Branko; Shephard, G. C. (1980). "Tilings with congruent tiles". Bulletin of the American Mathematical Society. New Series. 3 (3): 951–973. doi:10.1090/S0273-0979-1980-14827-2. MR 0585178.
In higher dimensions, however, there exist parallelopes that are not zonotopes. See e.g. Shephard, G. C. (1974). "Space-filling zonotopes". Mathematika. 21 (2): 261–269. doi:10.1112/S0025579300008652. MR 0365332.
Skilling, John (1976). "Uniform Compounds of Uniform Polyhedra". Mathematical Proceedings of the Cambridge Philosophical Society. 79 (3): 447–457. doi:10.1017/S0305004100052440. MR 0397554.

ams.org

Timofeenko, A. V. (2010). "Junction of Non-composite Polyhedra" (PDF). St. Petersburg Mathematical Journal. 21 (3): 483–512. doi:10.1090/S1061-0022-10-01105-2.

andrewwinslow.com

Langerman, Stefan; Winslow, Andrew (2016). "Polycube unfoldings satisfying Conway's criterion" (PDF). 19th Japan Conference on Discrete and Computational Geometry, Graphs, and Games (JCDCG^3 2016).

archive.org

Thomson, James (1845). An Elementary Treatise on Algebra: Theoretical and Practical. London: Longman, Brown, Green, and Longmans. p. 4.
Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press. p. 309. ISBN 978-0-521-55432-9.
Cromwell (1997), p. 55.
Heath, Thomas L. (1908). The Thirteen Books of Euclid's Elements (3rd ed.). Cambridge University Press. p. 262, 478, 480.

arxiv.org

Hasan, Masud; Hossain, Mohammad M.; López-Ortiz, Alejandro; Nusrat, Sabrina; Quader, Saad A.; Rahman, Nabila (2010). "Some New Equiprojective Polyhedra". arXiv:1009.2252 [cs.CG].
Nelson, Roice; Segerman, Henry (2017). "Visualizing hyperbolic honeycombs". Journal of Mathematics and the Arts. 11 (1): 4–39. arXiv:1511.02851. doi:10.1080/17513472.2016.1263789.
Diaz, Giovanna; O'Rourke, Joseph (2015). "Hypercube unfoldings that tile $\mathbb {R} ^{3}$ and $\mathbb {R} ^{2}$ ". arXiv:1512.02086 [cs.CG].

biolib.de

Haeckel, E. (1904). Kunstformen der Natur (in German). See here for an online book.

books.google.com

Mills, Steve; Kolf, Hillary (1999). Maths Dictionary. Heinemann. p. 16. ISBN 978-0-435-02474-1.
Herrmann, Diane L.; Sally, Paul J. (2013). Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory. Taylor & Francis. p. 252. ISBN 978-1-4665-5464-1.
Calter, Paul; Calter, Michael (2011). Technical Mathematics. John Wiley & Sons. p. 197. ISBN 978-0-470-53492-2.
Khattar, Dinesh (2008). Guide to Objective Arithmetic (2nd ed.). Pearson Education. p. 377. ISBN 978-81-317-1682-3.
Ball, Keith (2010). "High-dimensional geometry and its probabilistic analogues". In Gowers, Timothy (ed.). The Princeton Companion to Mathematics. Princeton University Press. p. 671. ISBN 9781400830398.
Erickson, Martin (2011). Beautiful Mathematics. Mathematical Association of America. p. 62. ISBN 978-1-61444-509-8.
Senechal, Marjorie (1989). "A Brief Introduction to Tilings". In Jarić, Marko (ed.). Introduction to the Mathematics of Quasicrystals. Academic Press. p. 12.
Walter, Steurer; Deloudi, Sofia (2009). Crystallography of Quasicrystals: Concepts, Methods and Structures. Springer Series in Materials Science. Vol. 126. p. 50. doi:10.1007/978-3-642-01899-2. ISBN 978-3-642-01898-5.
Joyner, David (2008). Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys (2nd ed.). The Johns Hopkins University Press. p. 76. ISBN 978-0-8018-9012-3.
Reaven, Marci; Zeilten, Steve (2006). Hidden New York: A Guide to Places that Matter. Rutgers University Press. p. 77. ISBN 978-0-8135-3890-7.
John D. Barrow (1999). Impossibility: The Limits of Science and the Science of Limits. Oxford University Press. p. 14. ISBN 9780195130829.
Alsina, Claudi; Nelsen, Roger B. (2015). A Mathematical Space Odyssey: Solid Geometry in the 21st Century. Vol. 50. Mathematical Association of America. p. 85. ISBN 978-1-61444-216-5.
Tisza, Miklós (2001). Physical Metallurgy for Engineers. Materials Park, Ohio: ASM International. p. 45. ISBN 978-1-61503-241-9.
Hoffmann, Frank (2020). Introduction to Crystallography. Springer. p. 35. doi:10.1007/978-3-030-35110-6. ISBN 978-3-030-35110-6.
Chin, Daniel Jie Yuan Chin; Mohamed, Ahmad Sufril Azlan; Shariff, Khairul Anuar; Ishikawa, Kunio (23–25 November 2021). "GPU-Accelerated Enhanced Marching Cubes 33 for Fast 3D Reconstruction of Large Bone Defect CT Images". In Zaman, Halimah Badioze; Smeaton, Alan; Shih, Timothy; Velastin, Sergio; Terutoshi, Tada; Jørgensen, Bo Nørregaard; Aris, Hazleen Aris; Ibrahim, Nazrita Ibrahim (eds.). Advances in Visual Informatics. 7th International Visual Informatics Conference. Kajang, Malaysia. p. 376.
Vollmer, Michael; Möllmann, Klaus-Peter (2011). Infrared Thermal Imaging: Fundamentals, Research and Applications. John Wiley & Sons. pp. 36–38. ISBN 9783527641550.
Livio, Mario (2003) [2002]. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (1st trade paperback ed.). New York City: Broadway Books. p. 147. ISBN 978-0-7679-0816-0.
Smith, James (2000). Methods of Geometry. John Wiley & Sons. p. 392. ISBN 978-1-118-03103-2.
Alsina & Nelsen (2015), p. 89.
Rudolph, Michael (2022). The Mathematics of Finite Networks: An Introduction to Operator Graph Theory. Cambridge University Press. p. 25. doi:10.1007/9781316466919 (inactive 1 November 2024). ISBN 9781316466919.{{cite book}}: CS1 maint: DOI inactive as of November 2024 (link)
Pisanski, Tomaž; Servatius, Brigitte (2013). Configuration from a Graphical Viewpoint. Springer. p. 21. doi:10.1007/978-0-8176-8364-1. ISBN 978-0-8176-8363-4.
Chartrand, Gary; Zhang, Ping (2012). A First Course in Graph Theory. Dover Publications. p. 25. ISBN 978-0-486-29730-9.
Berman, Leah (2014). "Geometric Constructions for Symmetric 6-Configurations". In Connelly, Robert; Weiss, Asia; Whiteley, Walter (eds.). Rigidity and Symmetry. Springer. p. 84. doi:10.1007/978-1-4939-0781-6. ISBN 978-1-4939-0781-6.
Aldous, Joan; Wilson, Robin (2000). Graphs and Applications: An Introductory Approach. Springer. ISBN 978-1-85233-259-4.
Kitaev, Sergey; Lozin, Vadim (2015). Words and Graphs. p. 171. doi:10.1007/978-3-319-25859-1. ISBN 978-3-319-25859-1.
Coxeter, H.S.M. (1973). Regular Polytopes (3rd ed.). New York: Dover Publications. pp. 122–123. See §1.8 Configurations.
Rajwade, A. R. (2001). Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. Hindustan Book Agency. p. 84–89. doi:10.1007/978-93-86279-06-4. ISBN 978-93-86279-06-4.
Cromwell (1997), pp. 81–82.
Linti, G. (2013). "Catenated Compounds - Group 13 [Al, Ga, In, Tl]". In Reedijk, J.; Poeppelmmeier, K. (eds.). Comprehensive Inorganic Chemistry II: From Elements to Applications. Newnes. p. 41. ISBN 978-0-08-096529-1.
Coxeter (1973), p. 71.
Holme, A. (2010). Geometry: Our Cultural Heritage. Springer. doi:10.1007/978-3-642-14441-7. ISBN 978-3-642-14441-7.
Barnes, John (2012). Gems of Geometry (2nd ed.). Springer. p. 82. doi:10.1007/978-3-642-30964-9. ISBN 978-3-642-30964-9.
Alexandrov, A. D. (2005). "8.1 Parallelohedra". Convex Polyhedra. Springer. pp. 349–359.
Coxeter, H. S. M. (1968). The Beauty of Geometry: Twelve Essays. Dover Publications. p. 167. ISBN 978-0-486-40919-1. See table III.
Lunnon, W. F. (1972). "Symmetry of Cubical and General Polyominoes". In Read, Ronald C. (ed.). Graph Theory and Computing. New York: Academic Press. pp. 101–108. ISBN 978-1-48325-512-5.
Popko, Edward S. (2012). Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere. CRC Press. pp. 100–101. ISBN 9781466504295.
Fuller, Buckimster (1975). Synergetics: Explorations in the Geometry of Thinking. MacMillan Publishing. p. 173.
Marat, Ton (2022). A Ludic Journey into Geometric Topology. Springer. p. 112. doi:10.1007/978-3-031-07442-4. ISBN 978-3-031-07442-4.

bridgesmathart.org

archive.bridgesmathart.org

Hart, George (16–20 July 2019). "Max Brücknerʼs Wunderkammer of Paper Polyhedra" (PDF). In Goldstein, Susan; McKenna, Douglas; Fenyvesi, Kristóf (eds.). Bridges 2019 Conference Proceedings. Linz, Austria: Tessellations Publishing, Phoenix, Arizona. ISBN 978-1-938664-30-4.
Yackel, Carolyn (26–30 July 2013). "Marking a Physical Sphere with a Projected Platonic Solid" (PDF). In Kaplan, Craig; Sarhangi, Reza (eds.). Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture. Banff, Alberta, Canada. pp. 123–130. ISBN 978-0-96652-020-0.

doi.org

Johnson, Norman W. (1966). "Convex polyhedra with regular faces". Canadian Journal of Mathematics. 18: 169–200. doi:10.4153/cjm-1966-021-8. MR 0185507. S2CID 122006114. Zbl 0132.14603. See table II, line 3.
Jerrard, Richard P.; Wetzel, John E.; Yuan, Liping (April 2017). "Platonic passages". Mathematics Magazine. 90 (2). Washington, DC: Mathematical Association of America: 87–98. doi:10.4169/math.mag.90.2.87. S2CID 218542147.
Lützen, Jesper (2010). "The Algebra of Geometric Impossibility: Descartes and Montucla on the Impossibility of the Duplication of the Cube and the Trisection of the Angle". Centaurus. 52 (1): 4–37. doi:10.1111/j.1600-0498.2009.00160.x.
Cunningham, Gabe; Pellicer, Daniel (2024). "Finite 3-orbit polyhedra in ordinary space, II". Boletín de la Sociedad Matemática Mexicana. 30 (32). doi:10.1007/s40590-024-00600-z. See p. 276.
McLean, K. Robin (1990). "Dungeons, dragons, and dice". The Mathematical Gazette. 74 (469): 243–256. doi:10.2307/3619822. JSTOR 3619822. S2CID 195047512. See p. 247.
Grünbaum, Branko (1997). "Isogonal Prismatoids". Discrete & Computational Geometry. 18 (1): 13–52. doi:10.1007/PL00009307.
Walter, Steurer; Deloudi, Sofia (2009). Crystallography of Quasicrystals: Concepts, Methods and Structures. Springer Series in Materials Science. Vol. 126. p. 50. doi:10.1007/978-3-642-01899-2. ISBN 978-3-642-01898-5.
Moore, Kimberly (2018). "Minecraft Comes to Math Class". Mathematics Teaching in the Middle School. 23 (6): 334–341. doi:10.5951/mathteacmiddscho.23.6.0334. JSTOR 10.5951/mathteacmiddscho.23.6.0334.
Kemp, Martin (1 January 1998). "Dali's dimensions". Nature. 391 (27): 27. Bibcode:1998Natur.391...27K. doi:10.1038/34063.
Fowler, David (2010). "Mathematics in Science Fiction: Mathematics as Science Fiction". World Literature Today. 84 (3): 48–52. doi:10.1353/wlt.2010.0188. JSTOR 27871086. S2CID 115769478. Robert Heinlein's "And He Built a Crooked House," published in 1940, and Martin Gardner's "The No-Sided Professor," published in 1946, are among the first in science fiction to introduce readers to the Moebius band, the Klein bottle, and the hypercube (tesseract).
March, Lionel (1996). "Renaissance mathematics and architectural proportion in Alberti's De re aedificatoria". Architectural Research Quarterly. 2 (1): 54–65. doi:10.1017/S135913550000110X. S2CID 110346888.
Hoffmann, Frank (2020). Introduction to Crystallography. Springer. p. 35. doi:10.1007/978-3-030-35110-6. ISBN 978-3-030-35110-6.
Biegasiewicz, Kyle; Griffiths, Justin; Savage, G. Paul; Tsanakstidis, John; Priefer, Ronny (2015). "Cubane: 50 years later". Chemical Reviews. 115 (14): 6719–6745. doi:10.1021/cr500523x. PMID 26102302.
Kov´acs, Gergely; Nagy, Benedek Nagy; Stomfai, Gergely; Turgay, Nes¸et Deni̇z; Vizv´ari, B´ela (2021). "On Chamfer Distances on the Square and Body-Centered CubicGrids: An Operational Research Approach". Mathematical Problems in Engineering: 1–9. doi:10.1155/2021/5582034.
Greene, N (1986). "Environment mapping and other applications of world projections". IEEE Computer Graphics and Applications. 6 (11): 21–29. doi:10.1109/MCG.1986.276658. S2CID 11301955.
Jeon, Kyungsoon (2009). "Mathematics Hiding in the Nets for a CUBE". Teaching Children Mathematics. 15 (7): 394–399. doi:10.5951/TCM.15.7.0394. JSTOR 41199313.
Rudolph, Michael (2022). The Mathematics of Finite Networks: An Introduction to Operator Graph Theory. Cambridge University Press. p. 25. doi:10.1007/9781316466919 (inactive 1 November 2024). ISBN 9781316466919.{{cite book}}: CS1 maint: DOI inactive as of November 2024 (link)
Pisanski, Tomaž; Servatius, Brigitte (2013). Configuration from a Graphical Viewpoint. Springer. p. 21. doi:10.1007/978-0-8176-8364-1. ISBN 978-0-8176-8363-4.
Harary, F.; Hayes, J. P.; Wu, H.-J. (1988). "A survey of the theory of hypercube graphs". Computers & Mathematics with Applications. 15 (4): 277–289. doi:10.1016/0898-1221(88)90213-1. hdl:2027.42/27522.
Horvat, Boris; Pisanski, Tomaž (2010). "Products of unit distance graphs". Discrete Mathematics. 310 (12): 1783–1792. doi:10.1016/j.disc.2009.11.035. MR 2610282.
Berman, Leah (2014). "Geometric Constructions for Symmetric 6-Configurations". In Connelly, Robert; Weiss, Asia; Whiteley, Walter (eds.). Rigidity and Symmetry. Springer. p. 84. doi:10.1007/978-1-4939-0781-6. ISBN 978-1-4939-0781-6.
Kitaev, Sergey; Lozin, Vadim (2015). Words and Graphs. p. 171. doi:10.1007/978-3-319-25859-1. ISBN 978-3-319-25859-1.
Inchbald, Guy (2006). "Facetting Diagrams". The Mathematical Gazette. 90 (518): 253–261. doi:10.1017/S0025557200179653. JSTOR 40378613.
Timofeenko, A. V. (2010). "Junction of Non-composite Polyhedra" (PDF). St. Petersburg Mathematical Journal. 21 (3): 483–512. doi:10.1090/S1061-0022-10-01105-2.
Rajwade, A. R. (2001). Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. Hindustan Book Agency. p. 84–89. doi:10.1007/978-93-86279-06-4. ISBN 978-93-86279-06-4.
Viana, Vera; Xavier, João Pedro; Aires, Ana Paula; Campos, Helena (2019). "Interactive Expansion of Achiral Polyhedra". In Cocchiarella, Luigi (ed.). ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics 40th Anniversary - Milan, Italy, August 3-7, 2018. Advances in Intelligent Systems and Computing. Vol. 809. Springer. p. 1123. doi:10.1007/978-3-319-95588-9. ISBN 978-3-319-95587-2. See Fig. 6.
Holme, A. (2010). Geometry: Our Cultural Heritage. Springer. doi:10.1007/978-3-642-14441-7. ISBN 978-3-642-14441-7.
Barnes, John (2012). Gems of Geometry (2nd ed.). Springer. p. 82. doi:10.1007/978-3-642-30964-9. ISBN 978-3-642-30964-9.
Cundy, H. Martyn (1956). "2642. Unitary Construction of Certain Polyhedra". The Mathematical Gazette. 40 (234): 280–282. doi:10.2307/3609622. JSTOR 3609622.
Gruber, Peter M. (2007). "Chapter 16: Volume of Polytopes and Hilbert's Third Problem". Convex and Discrete Geometry. Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Vol. 336. Springer, Berlin. pp. 280–291. doi:10.1007/978-3-540-71133-9. ISBN 978-3-540-71132-2. MR 2335496.
Zeeman, E. C. (July 2002). "On Hilbert's third problem". The Mathematical Gazette. 86 (506): 241–247. doi:10.2307/3621846. JSTOR 3621846.
Lagarias, J. C.; Moews, D. (1995). "Polytopes that fill $\mathbb {R} ^{n}$ and scissors congruence". Discrete & Computational Geometry. 13 (3–4): 573–583. doi:10.1007/BF02574064. MR 1318797.
Erdahl, R. M. (1999). "Zonotopes, dicings, and Voronoi's conjecture on parallelohedra". European Journal of Combinatorics. 20 (6): 527–549. doi:10.1006/eujc.1999.0294. MR 1703597.. Voronoi conjectured that all tilings of higher dimensional spaces by translates of a single convex polytope are combinatorially equivalent to Voronoi tilings, and Erdahl proves this in the special case of zonotopes. But as he writes (p. 429), Voronoi's conjecture for dimensions at most four was already proven by Delaunay. For the classification of three-dimensional parallelohedra into these five types, see Grünbaum, Branko; Shephard, G. C. (1980). "Tilings with congruent tiles". Bulletin of the American Mathematical Society. New Series. 3 (3): 951–973. doi:10.1090/S0273-0979-1980-14827-2. MR 0585178.
In higher dimensions, however, there exist parallelopes that are not zonotopes. See e.g. Shephard, G. C. (1974). "Space-filling zonotopes". Mathematika. 21 (2): 261–269. doi:10.1112/S0025579300008652. MR 0365332.
Nelson, Roice; Segerman, Henry (2017). "Visualizing hyperbolic honeycombs". Journal of Mathematics and the Arts. 11 (1): 4–39. arXiv:1511.02851. doi:10.1080/17513472.2016.1263789.
Hall, T. Proctor (1893). "The projection of fourfold figures on a three-flat". American Journal of Mathematics. 15 (2): 179–189. doi:10.2307/2369565. JSTOR 2369565.
Skilling, John (1976). "Uniform Compounds of Uniform Polyhedra". Mathematical Proceedings of the Cambridge Philosophical Society. 79 (3): 447–457. doi:10.1017/S0305004100052440. MR 0397554.
Marat, Ton (2022). A Ludic Journey into Geometric Topology. Springer. p. 112. doi:10.1007/978-3-031-07442-4. ISBN 978-3-031-07442-4.

fau.edu

forumgeom.fau.edu

Poo-Sung, Park, Poo-Sung (2016). "Regular polytope distances" (PDF). Forum Geometricorum. 16: 227–232. Archived from the original (PDF) on 2016-10-10. Retrieved 2016-05-24.{{cite journal}}: CS1 maint: multiple names: authors list (link)

handle.net

hdl.handle.net

Harary, F.; Hayes, J. P.; Wu, H.-J. (1988). "A survey of the theory of hypercube graphs". Computers & Mathematics with Applications. 15 (4): 277–289. doi:10.1016/0898-1221(88)90213-1. hdl:2027.42/27522.

harvard.edu

ui.adsabs.harvard.edu

Kemp, Martin (1 January 1998). "Dali's dimensions". Nature. 391 (27): 27. Bibcode:1998Natur.391...27K. doi:10.1038/34063.

heldermann-verlag.de

Slobodan, Mišić; Obradović, Marija; Ðukanović, Gordana (2015). "Composite Concave Cupolae as Geometric and Architectural Forms" (PDF). Journal for Geometry and Graphics. 19 (1): 79–91.

jstor.org

Jessen, Børge (1967). "Orthogonal icosahedra". Nordisk Matematisk Tidskrift. 15 (2): 90–96. JSTOR 24524998. MR 0226494.
French, Doug (1988). "Reflections on a Cube". Mathematics in School. 17 (4): 30–33. JSTOR 30214515.
McLean, K. Robin (1990). "Dungeons, dragons, and dice". The Mathematical Gazette. 74 (469): 243–256. doi:10.2307/3619822. JSTOR 3619822. S2CID 195047512. See p. 247.
Moore, Kimberly (2018). "Minecraft Comes to Math Class". Mathematics Teaching in the Middle School. 23 (6): 334–341. doi:10.5951/mathteacmiddscho.23.6.0334. JSTOR 10.5951/mathteacmiddscho.23.6.0334.
Fowler, David (2010). "Mathematics in Science Fiction: Mathematics as Science Fiction". World Literature Today. 84 (3): 48–52. doi:10.1353/wlt.2010.0188. JSTOR 27871086. S2CID 115769478. Robert Heinlein's "And He Built a Crooked House," published in 1940, and Martin Gardner's "The No-Sided Professor," published in 1946, are among the first in science fiction to introduce readers to the Moebius band, the Klein bottle, and the hypercube (tesseract).
Jeon, Kyungsoon (2009). "Mathematics Hiding in the Nets for a CUBE". Teaching Children Mathematics. 15 (7): 394–399. doi:10.5951/TCM.15.7.0394. JSTOR 41199313.
Inchbald, Guy (2006). "Facetting Diagrams". The Mathematical Gazette. 90 (518): 253–261. doi:10.1017/S0025557200179653. JSTOR 40378613.
Cundy, H. Martyn (1956). "2642. Unitary Construction of Certain Polyhedra". The Mathematical Gazette. 40 (234): 280–282. doi:10.2307/3609622. JSTOR 3609622.
Zeeman, E. C. (July 2002). "On Hilbert's third problem". The Mathematical Gazette. 86 (506): 241–247. doi:10.2307/3621846. JSTOR 3621846.
Hall, T. Proctor (1893). "The projection of fourfold figures on a three-flat". American Journal of Mathematics. 15 (2): 179–189. doi:10.2307/2369565. JSTOR 2369565.

nih.gov

pubmed.ncbi.nlm.nih.gov

Biegasiewicz, Kyle; Griffiths, Justin; Savage, G. Paul; Tsanakstidis, John; Priefer, Ronny (2015). "Cubane: 50 years later". Chemical Reviews. 115 (14): 6719–6745. doi:10.1021/cr500523x. PMID 26102302.

semanticscholar.org

api.semanticscholar.org

Johnson, Norman W. (1966). "Convex polyhedra with regular faces". Canadian Journal of Mathematics. 18: 169–200. doi:10.4153/cjm-1966-021-8. MR 0185507. S2CID 122006114. Zbl 0132.14603. See table II, line 3.
Jerrard, Richard P.; Wetzel, John E.; Yuan, Liping (April 2017). "Platonic passages". Mathematics Magazine. 90 (2). Washington, DC: Mathematical Association of America: 87–98. doi:10.4169/math.mag.90.2.87. S2CID 218542147.
McLean, K. Robin (1990). "Dungeons, dragons, and dice". The Mathematical Gazette. 74 (469): 243–256. doi:10.2307/3619822. JSTOR 3619822. S2CID 195047512. See p. 247.
Fowler, David (2010). "Mathematics in Science Fiction: Mathematics as Science Fiction". World Literature Today. 84 (3): 48–52. doi:10.1353/wlt.2010.0188. JSTOR 27871086. S2CID 115769478. Robert Heinlein's "And He Built a Crooked House," published in 1940, and Martin Gardner's "The No-Sided Professor," published in 1946, are among the first in science fiction to introduce readers to the Moebius band, the Klein bottle, and the hypercube (tesseract).
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