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== References == * {{cite journal | last1 = Akiyama | first1 = Jin | last2 = Hitotumatu | first2 = Sin | last3 = Sato | first3 = Ikuro | title = Determination of the element numbers of the regular polytopes | journal = Geometriae Dedicata | doi = 10.1007/s10711-011-9647-3 | volume = 159 | pages = 89–97 | year = 2012 }} * {{cite book | last = Diudea | first = M. V. | year = 2018 | title = Multi-shell Polyhedral Clusters | series = Carbon Materials: Chemistry and Physics | volume = 10 | publisher = [[Springer Science+Business Media|Springer]] | isbn = 978-3-319-64123-2 | doi = 10.1007/978-3-319-64123-2 | url = https://books.google.com/books?id=p_06DwAAQBAJ }} * {{cite book | last = Ghyka | first = Matila | title = The Geometry of Art and Life | year = 1977 | publisher = [[Dover Publications]] | isbn = 978-0-486-23542-4 | url = https://books.google.com/books?id=h1Wm6tHAKHcC }} * {{cite book | last = Johnson | first = N. W. | author-link = Norman Johnson (mathematician) | title = Geometries and Transformations | year = 2018 | isbn = 978-1-107-10340-5 | chapter = Finite Symmetry Groups, 11.5 Spherical Coxeter groups | publisher = Cambridge University Press }} * {{cite book | last1 = Miyazaki | first1 = K. | last2 = Ishii | first2 = M. | editor-last = Darvas | editor-first = György | title = Complex Symmetries | url = https://books.google.com/books?id=d2VXEAAAQBAJ | contribution = Symmetry in Projection of 4-Dimensional Regular Polychora | doi = 10.1007/978-3-030-88059-0 | year = 2021 | isbn = 978-3-030-88059-0 }} * [[Thorold Gosset|T. Gosset]]: ''On the Regular and Semi-Regular Figures in Space of n Dimensions'', Messenger of Mathematics, Macmillan, 1900 * [[Harold Scott MacDonald Coxeter|H.S.M. Coxeter]]: ** {{Cite book | last=Coxeter | first=H.S.M. | author-link=Harold Scott MacDonald Coxeter | year=1973 | title=Regular Polytopes | publisher=Dover | place=New York | edition=3rd | title-link=Regular Polytopes (book) }} *** p. 120, §7.2. see illustration Fig 7.2<small>A</small> *** p. 296, Table I (iii): Regular Polytopes, three regular polytopes in n-dimensions (n≥5) ** {{Citation | last=Coxeter | first=H.S.M. | author-link=Harold Scott MacDonald Coxeter | year=1991 | title=Regular Complex Polytopes | place=Cambridge | publisher=Cambridge University Press | edition=2nd }} ** Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, {{ISBN|978-0-471-01003-6}} [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html] *** (Paper 22) H.S.M. Coxeter, ''Regular and Semi Regular Polytopes I'', [Math. Zeit. 46 (1940) 380-407, MR 2,10] *** (Paper 23) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes II'', [Math. Zeit. 188 (1985) 559-591] *** (Paper 24) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes III'', [Math. Zeit. 200 (1988) 3-45] * {{cite arXiv|last1=Kim|first1=Heuna|last2=Rote|first2=G.|date=2016|title=Congruence Testing of Point Sets in 4 Dimensions|class=cs.CG|eprint=1603.07269}} * [[John Horton Conway|John H. Conway]], Heidi Burgiel, Chaim Goodman-Strauss, ''The Symmetries of Things'' 2008, {{ISBN|978-1-56881-220-5}} (Chapter 26. pp. 409: Hemicubes: 1<sub>n1</sub>) * [[Norman Johnson (mathematician)|Norman Johnson]] ''Uniform Polytopes'', Manuscript (1991) ** N.W. Johnson: ''The Theory of Uniform Polytopes and Honeycombs'', Ph.D. (1966) * {{cite book|last=Banchoff|first=Thomas F.|chapter=Torus Decompostions of Regular Polytopes in 4-space|date=2013|title=Shaping Space|url=https://archive.org/details/shapingspaceexpl00sene|url-access=limited|pages=[https://archive.org/details/shapingspaceexpl00sene/page/n249 257]–266|editor-last=Senechal|editor-first=Marjorie|publisher=Springer New York|doi=10.1007/978-0-387-92714-5_20|isbn=978-0-387-92713-8}}
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