References

I Have found these as useful and interesting.

Michael Artin. Algebra. Prentice Hall, Englewood Cliffs, New Jersey, 1991.

Steve Baer. Zome Primer. Zomeworks Corporation, 1970.

John Baez. The Octonions. Bulletin of the American Mathematical Society (New Series). Volume 39, Number 2, (2002), Pages 145-205.
(Also available online.)

Louis J. Billera and Bernd Sturmfels. Fiber polytopes. Ann. of Math. (2) 135 (1992), no. 3, 527--549.

Bruce L. Chilton. Principal Shadows of the 12 Pentagonal Regular 4-Dimensional Objects (Polytopes). Leonardo. 13 (1980) No. 4, 288-294.

J. H. Conway and N. J. A. Sloane. Sphere Packings, Lattices and Groups. 2nd ed. Springer-Verlag, New York, 1992.

John H. Conway and Derek A. Smith. On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry. A K Peters Ltd, Wellesly, Massachusetts, 2003

H. S. M. Coxeter. Integral Cayley Numbers. Duke Mathematical Journal. Vol. 13, Number 4, (1946), 561-578.

H. S. M. Coxeter. Introduction to Geometry. 2nd ed. John Wiley & Sons, Inc., New York, 1969.

H. S. M. Coxeter. Regular Polytopes. 3rd ed. Dover Publications Inc., New York, 1973.

H. S. M. Coxeter, M.S. Longuet-Higgins, J.C.P. Miller. Uniform Polyhedra. Phil. Trans. 246 A, (1954), 401-50.

H. S. M. Coxeter and W. O. J. Moser. Generators and Relations for Discrete Groups. 3rd ed. Springer-Verlag, Berlin and New York, 1972.

Charles W. Curtis and Irving Reiner. Representation Theory of Finite Groups and Associative Algebras. Interscience Publishers, New York, 1962.

John D. Dixon and Brian Mortimer. Permutation Groups. Springer-Verlag, New York, 1996.

Veit Elser and N. J. A. Sloane. A highly symmetric four-dimensional quasicrystal. Phys. A: Math. Gen. 20 (1987), 6161-6168.

George K. Francis. A Topological Picturebook. Springer-Verlag, New York, 1987.

Thorold Gosset. On the regular and semi-regular figures in space of n dimensions. Messenger of Math. 29 (1900), 43-48.

Larry Grove. The Characters of the Hecatonicosahedroidal Group, J. für Reine und Angew. Math. 265, 1974, 160-169.

Branko Grünbaum. Convex Polytopes. 2nd edition. Springer-Verlag, New York, 2003.

George W. Hart and Henri Picciotto. Zome Geometry, Hands-on Learning with Zome Models. Key Curriculum Press, Emeryville, California, 2001.

James E. Humphreys. Reflection Groups and Coxeter Groups. Cambridge University Press, Cambridge, 1990.

Henry McKean and Victor Moll. Elliptic Curves: function theory, geometry, arithmetic. Cambridge University Press, Cambridge, UK, 1999.

R. V. Moody and J. Patera. Quasicrystals and icosians. Phys. A: Math. Gen. 26 (1993), 2829-2853.

Burkard Polster. A Geometrical Picture Book. Springer-Verlag Inc., New York, 1998.

David A. Richter Gosset's figure in a Clifford algebra. Advances in Applied Clifford Algebras. 14, Number 1, 2004, 215-224.

David A. Richter Lie Superalgebras Associated with Constant Sectional Curvature. Geometriae Dedicata. 112, Number 1, April 2005, 129-140.

David A. Richter. Two results concerning the Zome model of the 600-cell. Proceedings, Renaissance Banff: Mathematical Connections between Mathematics, Art, and Music. Robert Moody and Reza Sarhangi (editors). (2005) 419-426.

David A. Richter and Scott Vorthmann. Green Quaternions, Tenacious Symmetry, and Octahedral Zome. Proceedings, Bridges London: Connections between Mathematics, Art, and Music. Reza Sarhangi and John Sharp (editors). (2006) 429-436.

Richard D. Schafer. An Introduction to Nonassociative Algebras. Dover Publications, Inc., New York, 1994.

James R. Smart. Modern Geometries. 5th ed. Brooks/Cole Publishing Company, Pacific Grove, California, 1998.

John Stillwell. Classical Topology and Combinatorial Group Theory. Springer-Verlag, New York, 1980.

P. Du Val. Homographies, Quaternions and Rotations. Oxford University Press, 1964.

Oswald Veblen and John Wesley Young. Projective Geometry. 2 vols. Ginn, Boston, MA, 1938.

Magnus Wenninger. Polyhedron Models. Cambridge University Press, 1970.

J. A. Wolf. Spaces of Constant Curvature. 4th ed. Publish or Perish, 1977.

Günter Ziegler. Lectures on Polytopes. Springer-Verlag, New York, 1995.