22 search results - page 1 / 5 » On the Development of the Intersection of a Plane with a Pol... |
CORR
2000
Springer
13 years 4 months ago
2000
Springer
Define a "slice" curve as the intersection of a plane with the surface of a polytope, i.e., a convex polyhedron in three dimensions. We prove that a slice curve develops...
MOC
1998
13 years 4 months ago
1998
Abstract. A sweep-plane algorithm of Lawrence for convex polytope computation is adapted to generate random tuples on simple polytopes. In our method an affine hyperplane is swept ...
FFA
2007
13 years 4 months ago
2007
From a rational convex polytope of dimension r ≥ 2 J.P. Hansen constructed an error correcting code of length n = (q−1)r over the finite field Fq. A rational convex polytope...
DCG
2006
13 years 4 months ago
2006
Abstract. Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H2 . We then show that continuous isometry invariant s...
DAGSTUHL
2003
13 years 6 months ago
2003
In this paper we discuss reliable methods in the field of finite precision geometry. We begin with a brief survey of geometric computing and approaches generally used in dealing ...