Welcome to antitile’s documentation!
Antitile is a package for manipulation of polyhedra and tilings using Python.
It is designed to work with [Antiprism] but can be used on its own.
The bulk of this package pertains to Goldberg-Coxeter operations, as described
in its own section.
Indices and tables
References
[Deza2004] | M. Deza and M. Dutour. Goldberg-Coxeter constructions for 3-
and 4-valent plane graphs. The Electronic Journal of Combinatorics,
11, 2004. #R20. |
[Altschuler] | Altschuler, E. L. et al. 1997. Possible Global Minimum Lattice
Configurations for Thomson’s Problem of Charges on a Sphere. Phys. Rev.
Lett. 78, 2681. [http://dx.doi.org/10.1103/PhysRevLett.78.2681
doi:10.1103/PhysRevLett.78.2681]
http://www.mcs.anl.gov/~zippy/publications/thomson/thomsonPRL.html |
[Goldberg] | Goldberg, M, 1937. A class of multi-symmetric polyhedra. Tohoku
Mathematical Journal. |
[Hart1997] | Hart, G, 1997. Calculating Canonical Polyhedra. Mathematica in
Education and Research, Vol 6 No. 3, Summer 1997, pp. 5-10. |
[Kenner] | Kenner, H, 1976. Geodesic Math and How to Use It. University of
California Press. |
[Schein] | Schein & Gayed, 2014. Fourth class of convex equilateral
polyhedron with polyhedral symmetry related to fullerenes and viruses.
PNAS, Early Edition [http://dx.doi.org/10.1073/pnas.1310939111
doi:10.1073/pnas.1310939111] |
[Folke] | Eriksson, Folke (1990). “On the measure of solid angles”.
Math. Mag. 63 (3): 184–187. doi:10.2307/2691141. JSTOR 2691141. |
[Caspar] | D.L.D. Caspar and A. Klug. Physical principles in the construction
of regular viruses. In Cold Spring Harb Symp Quant Biol., volume 27,
pages 1–24, 1962. |
[Coxeter] | H.S.M. Coxeter. Virus macromolecules and geodesic domes. In J.C.
Butcher, editor, A spectrum of mathematics, pages 98–107.
Oxford University Press, 1971. |
[Coxeter8] | H.S.M. Coxeter. Truncation. In Regular Polytopes, pages 145-164
3rd ed, Dover, 1973. |
[Tarnai] | T. Tarnai, F. Kovacs, P.W. Fowler, and S.D. Guest. Wrapping the
cube and other polyhedra. Proceedings of the Royal Society A,
468:2652–2666, 2012. |
[StamLoop] | Jos Stam: Evaluation of Loop Subdivision Surfaces, Computer
Graphics Proceedings ACM SIGGRAPH 1998, |
[StamCatmull] | Stam, J. (1998). “Exact evaluation of Catmull-Clark
subdivision surfaces at arbitrary parameter values”. Proceedings of the
25th annual conference on Computer graphics and interactive techniques -
SIGGRAPH ‘98. pp. 395–404. doi:10.1145/280814.280945.
ISBN 0-89791-999-8. |