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A. Books or Chapters in Books
(with P. Du Val, H. T. Flather, and J. F. Petrie) The 59 Icosahedra, University of Toronto Studies (Math. Series, No. 6), 1938.
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Polyhedral numbers, in Boston Studies in the Philosophy of Science, Vol. 15, (ed. R. S. Cohen, J. Stachel, and M. W. Wartofsky), Boston, Mass, 1974, 59–69.
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B. Research Papers and Expository Articles
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The polytopes with regular-prismatic vertex figures I, Phil. Trans. Royal Soc. (A) 229 (1930), 329–425.
Groups whose fundamental regions are simplexes, Journal London Math. Soc. 6 (1931), 132–136.
The densities of the regular polytopes I, Proc. Camb. Phil. Soc. 27 (1931), 201–211.
The polytopes with regular-prismatic vertex figures II, Proc. London Math. Soc. (2) 34 (1932), 126–189.
The densities of the regular polytopes II, Proc. Camb. Phil. Soc. 28 (1932), 509–521.
The densities of the regular polytopes III, ibid. 29 (1933), 1–22.
Regular compound polytopes in more than four dimensions, Journal of Math, and Phys. 12 (1933), 334–345.
Discrete groups generated by reflections, Annals of Math. 35 (1934), 588–621.
On simple isomorphism between abstract groups, Journal London Math. Soc. 9 (1934), 211–212.
Abstract groups of the form \( V_i^k = V_j^3 = {({V_i}{\rm{ }}{V_j})^2} = 1 \), ibid, 213–219.
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The complete enumeration of finite groups \( R_i^2 = {({R_i}{\rm{ }}{R_j})^{{k_{ij}}}} = 1 \), Journal London Math. Soc. 10 (1935), 21–25.
Wythoff’s construction for uniform polytopes, Proc. London Math. Soc. (2) 38 (1935), 327–339.
The representation of conformal space on a quadric, Annals of Math. 37 (1936), 416–426.
The groups determined by the relations S 1 = T m = (S−1 T −1 ST)p = 1, Duke Math. Journal 2 (1936), 61–73.
An abstract definition for the alternating group..., Journal London Math. Soc. 11 (1936), 150–156.
(with J. A. Todd) Abstract definitions for the symmetry groups of the regular polytopes in terms of two generators I, Proc. Camb. Phil. Soc. 32 (1936), 194–200.
The abstract groups R m = S m = (R j S j)Pj = 1,..., Proc. London Math. Soc. (2) 41 (1936), 278–301.
(with J. A. Todd) A practical method of enumerating cosets of a finite abstract group, Proc. Edinburgh Math. Soc. (2) 5 (1936), 26–34.
On Schläfli’s generalization of Napier’s pentagramma mirificum, Bull. Calcutta Math. Soc. 28 (1936), 123–144.
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Regular skew polyhedra in three and four dimensions..., Proc. London Math. Soc. (2) 43 (1937), 33–62.
An easy method for constructing polyhedral group-pictures, Amer. Math. Monthly 45 (1938), 522–525.
The abstract groups G m,n,p, Trans. Amer. Math. Soc. 45 (1939), 73–150.
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The map-coloring of unorientable surfaces, ibid. 10 (1943), 293–304, MR 5, 48.
A geometrical background for de Sitter’s world, Amer. Math. Monthly 50 (1943), 217-227, MR 4, 236.
Quaternions and reflections, Amer. Math. Monthly 53 (1946), 136–146, MR 7, 387.
Integral Cayley numbers, Duke Math. Journal 13, (1946), 561–578, MR 8, 370.
The nine regular solids, Proc. Canadian Math. Congress 1 (1947), 252–264, MR 8, 482.
The product of three reflections, Quarterly of Applied Math. 5 (1947), 217–222, MR 9, 549.
A problem of collinear points, Amer. Math. Monthly 55 (1948), 26–28, 247, MR 9, 458.
Configurations and maps, Rep. Math. Colloq. (2) 8 (1948), 18–38, MR 10, 616.
Projective geometry, Math. Magazine 23 (1949), 79–97, MR 11, 384.
Self-dual configurations and regular graphs, Bull. Amer. Math. Soc. 56 (1950), 413–455, MR 12, 350.
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Extreme forms, Canad. J. Math. 3 (1951), 391–441. MR 13, 443.
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Interlocked rings of spheres, Scripta Math. 18 (1952), 113–121, MR 14, 494.
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Regular honeycombs in elliptic space, Proc. London Math. Soc. (3) 4 (1954), 471–501, MR 16, 1145.
Six uniform polyhedra, Scripta Math. 20 (1954), 227.
An extension of Pascal’s theorem, Amer. Math. Monthly 61 (1954), 723.
Arrangements of equal spheres in non-Euclidean spaces, Acta Math. Acad. Sci. Hungaricae 5 (1954), 263–276, MR 17, 523.
The area of a hyperbolic sector, Math. Gazette 39 (1955), 318.
On Laves’ graph of girth ten, Canad. J. Math. 7 (1955), 18–23, MR 16, 739.
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Regular honeycombs in hyperbolic space, Proc. Internat. Congress of Mathematicians (1956) 155–169, MR 19, 304.
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Music and mathematics, Canadian Music Journal 6 (1962), 13–24.
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Davis, C., Grünbaum, B., Sherk, F.A. (1981). H. S. M. Coxeter: Published Works. In: Davis, C., Grünbaum, B., Sherk, F.A. (eds) The Geometric Vein. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5648-9_2
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