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Skeleton is a new fast implementation of
Double Description Method (DDM) [1] for generating all extreme rays of a polyhedral cone
and, consequently, for solving the vertex and facet enumeration problems for convex polyhedra.
New enhancements [2] make Skeleton very competitive in comparison with other implementations of DDM
and other methods for solving these problems.
Float, integer and arbitrary precision integer arithmetics is supported.
The implementation uses Arageli
library for exact computation.
Please cite [2] in your publication if you use Skeleton.
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Motzkin T.S., Raiffa H., Thompson G.L., Thrall R.M.
The double description method. In H. W. Kuhn and A. W. Tucker, editors,
Contributions to the Theory of Games -
Volume II, number 28 in Annals of Mathematics Studies, pages 51-73.
Princeton University Press, Princeton, New Jersey, 1953.
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Золотых Н.Ю.
Новая модификация метода двойного описания для построения остова многогранного конуса //
Журнал вычислительной математики и математической физики.
- 2012. - Т. 52, N 1. - С. 153-163. pdf
English transl.: Zolotykh N.Yu. New
modification of the double description method for
constructing the skeleton of a polyhedral cone //
Computational mathematics and mathematical physics. - 2012. - V. 52, N.1. - P.146-156.
pdf
On the figure: truncated icosahedron (soccer ball). This is a Leonardo's drawing called by him
Ycocedron Abscisus Vacuus in Luca Pacioli's 1509 book De Devina Proportione.
See, for example, Leonardo Page
which is a part of George W. Hart's Virtual Polyhedra Pages.
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