List of regular polytopes (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "List of regular polytopes" in English language version.

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13ams.org

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1steelpillow.com

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Coxeter (1973), p. 129. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
McMullen & Schulte (2002), p. 30. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
Coxeter (1973), p. 120. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
Coxeter (1973), p. 124. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
McMullen & Schulte 2002. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
Coxeter (1973), pp. 66–67. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
Coxeter (1973), Table I: Regular polytopes, (iii) The three regular polytopes in $n$ dimensions (n>=5), pp. 294–295. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
McMullen & Schulte (2002), "6C Projective Regular Polytopes" pp. 162-165. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte (2002), p. 224. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte (2002), Section 7E. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
Coxeter (1973), Table II: Regular honeycombs, p. 296. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
Coxeter (1999), "Chapter 10". Coxeter, H. S. M. (1999), "Chapter 10: Regular Honeycombs in Hyperbolic Space", The Beauty of Geometry: Twelve Essays, Mineola, NY: Dover Publications, Inc., pp. 199–214, ISBN 0-486-40919-8, LCCN 99035678, MR 1717154. See in particular Summary Tables II, III, IV, V, pp. 212–213.
- Coxeter (1999), "Chapter 10" Table IV, p. 213. Coxeter, H. S. M. (1999), "Chapter 10: Regular Honeycombs in Hyperbolic Space", The Beauty of Geometry: Twelve Essays, Mineola, NY: Dover Publications, Inc., pp. 199–214, ISBN 0-486-40919-8, LCCN 99035678, MR 1717154. See in particular Summary Tables II, III, IV, V, pp. 212–213.

archive.org

McMullen & Schulte (2002), p. 30. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte 2002. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte (2002), "6C Projective Regular Polytopes" pp. 162-165. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte (2002), p. 224. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte (2002), Section 7E. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843

arxiv.org

Roice Nelson and Henry Segerman, Visualizing Hyperbolic Honeycombs

books.google.com

McMullen & Schulte (2002), "6C Projective Regular Polytopes" pp. 162-165. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
Irving Adler, A New Look at Geometry (2012 Dover edition), p.233

chalkdustmagazine.com

Duncan, Hugh (28 September 2017). "Between a square rock and a hard pentagon: Fractional polygons". chalkdust.

doi.org

McMullen, Peter (2004), "Regular polytopes of full rank", Discrete & Computational Geometry, 32: 1–35, doi:10.1007/s00454-004-0848-5, S2CID 46707382
McMullen & Schulte (2002), p. 30. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte 2002. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte (2002), "6C Projective Regular Polytopes" pp. 162-165. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
Grünbaum, B. (1977). "Regular Polyhedra—Old and New". Aequationes Mathematicae. 16 (1–2): 1–20. doi:10.1007/BF01836414. S2CID 125049930.
Coxeter, H.S.M. (1938). "Regular Skew Polyhedra in Three and Four Dimensions". Proc. London Math. Soc. 2. 43: 33–62. doi:10.1112/plms/s2-43.1.33.
Coxeter, H.S.M. (1985). "Regular and semi-regular polytopes II". Mathematische Zeitschrift. 188 (4): 559–591. doi:10.1007/BF01161657. S2CID 120429557.
McMullen & Schulte (2002), p. 224. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte (2002), Section 7E. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
Garner, C.W.L. (1967). "Regular Skew Polyhedra in Hyperbolic Three-Space". Can. J. Math. 19: 1179–1186. doi:10.4153/CJM-1967-106-9. S2CID 124086497. Note: His paper says there are 32, but one is self-dual, leaving 31.

loc.gov

lccn.loc.gov

Coxeter (1999), "Chapter 10". Coxeter, H. S. M. (1999), "Chapter 10: Regular Honeycombs in Hyperbolic Space", The Beauty of Geometry: Twelve Essays, Mineola, NY: Dover Publications, Inc., pp. 199–214, ISBN 0-486-40919-8, LCCN 99035678, MR 1717154. See in particular Summary Tables II, III, IV, V, pp. 212–213.
- Coxeter (1999), "Chapter 10" Table IV, p. 213. Coxeter, H. S. M. (1999), "Chapter 10: Regular Honeycombs in Hyperbolic Space", The Beauty of Geometry: Twelve Essays, Mineola, NY: Dover Publications, Inc., pp. 199–214, ISBN 0-486-40919-8, LCCN 99035678, MR 1717154. See in particular Summary Tables II, III, IV, V, pp. 212–213.

mathunion.org

Coxeter (1999), "Chapter 10". Coxeter, H. S. M. (1999), "Chapter 10: Regular Honeycombs in Hyperbolic Space", The Beauty of Geometry: Twelve Essays, Mineola, NY: Dover Publications, Inc., pp. 199–214, ISBN 0-486-40919-8, LCCN 99035678, MR 1717154. See in particular Summary Tables II, III, IV, V, pp. 212–213.
- Coxeter (1999), "Chapter 10" Table IV, p. 213. Coxeter, H. S. M. (1999), "Chapter 10: Regular Honeycombs in Hyperbolic Space", The Beauty of Geometry: Twelve Essays, Mineola, NY: Dover Publications, Inc., pp. 199–214, ISBN 0-486-40919-8, LCCN 99035678, MR 1717154. See in particular Summary Tables II, III, IV, V, pp. 212–213.

mit.edu

Abstracts (PDF). Convex and Abstract Polytopes (May 19–21, 2005) and Polytopes Day in Calgary (May 22, 2005).

semanticscholar.org

api.semanticscholar.org

McMullen, Peter (2004), "Regular polytopes of full rank", Discrete & Computational Geometry, 32: 1–35, doi:10.1007/s00454-004-0848-5, S2CID 46707382
McMullen & Schulte (2002), p. 30. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte 2002. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte (2002), "6C Projective Regular Polytopes" pp. 162-165. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
Grünbaum, B. (1977). "Regular Polyhedra—Old and New". Aequationes Mathematicae. 16 (1–2): 1–20. doi:10.1007/BF01836414. S2CID 125049930.
Coxeter, H.S.M. (1985). "Regular and semi-regular polytopes II". Mathematische Zeitschrift. 188 (4): 559–591. doi:10.1007/BF01161657. S2CID 120429557.
McMullen & Schulte (2002), p. 224. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
McMullen & Schulte (2002), Section 7E. McMullen, Peter; Schulte, Egon (2002), Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, doi:10.1017/CBO9780511546686, ISBN 0-521-81496-0, MR 1965665, S2CID 115688843
Garner, C.W.L. (1967). "Regular Skew Polyhedra in Hyperbolic Three-Space". Can. J. Math. 19: 1179–1186. doi:10.4153/CJM-1967-106-9. S2CID 124086497. Note: His paper says there are 32, but one is self-dual, leaving 31.

springer.com

link.springer.com

McMullen, Peter (2004), "Regular polytopes of full rank", Discrete & Computational Geometry, 32: 1–35, doi:10.1007/s00454-004-0848-5, S2CID 46707382

steelpillow.com

See: Inchbald, Guy (9 September 2024). "Stellating and Facetting – A Brief History". Guy's Polyhedra Page. Archived from the original on 2024-05-20.

web.archive.org

See: Inchbald, Guy (9 September 2024). "Stellating and Facetting – A Brief History". Guy's Polyhedra Page. Archived from the original on 2024-05-20.
Coxeter (1999), "Chapter 10". Coxeter, H. S. M. (1999), "Chapter 10: Regular Honeycombs in Hyperbolic Space", The Beauty of Geometry: Twelve Essays, Mineola, NY: Dover Publications, Inc., pp. 199–214, ISBN 0-486-40919-8, LCCN 99035678, MR 1717154. See in particular Summary Tables II, III, IV, V, pp. 212–213.
- Coxeter (1999), "Chapter 10" Table IV, p. 213. Coxeter, H. S. M. (1999), "Chapter 10: Regular Honeycombs in Hyperbolic Space", The Beauty of Geometry: Twelve Essays, Mineola, NY: Dover Publications, Inc., pp. 199–214, ISBN 0-486-40919-8, LCCN 99035678, MR 1717154. See in particular Summary Tables II, III, IV, V, pp. 212–213.
  - David A. Richter. "The Regular Polyhedra (of index two)". Archived from the original on 2016-03-04. Retrieved 2015-03-13.

wmich.edu

homepages.wmich.edu

David A. Richter. "The Regular Polyhedra (of index two)". Archived from the original on 2016-03-04. Retrieved 2015-03-13.

worldcat.org

search.worldcat.org

Coxeter (1973), p. 129. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
Coxeter (1973), p. 120. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
Coxeter (1973), p. 124. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
Coxeter (1973), pp. 66–67. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
Coxeter (1973), Table I: Regular polytopes, (iii) The three regular polytopes in $n$ dimensions (n>=5), pp. 294–295. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.
Coxeter (1973), Table II: Regular honeycombs, p. 296. Coxeter, H. S. M. (1973) [1948]. Regular Polytopes (Third ed.). New York: Dover Publications. ISBN 0-486-61480-8. MR 0370327. OCLC 798003. See in particular Tables I and II: Regular polytopes and honeycombs, pp. 294–296.