Now mathematicians may start to look for additional classes of convex polyhedra
with equal sides, says Schulte.
Oriented convex polyhedra
for collision detection in 3D computer animation," presented at the Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia, Kuala Lumpur, Malaysia, 2006.
However, when it is chosen so that its connected components are either convex polyhedra or simply connected domains with smooth boundaries, the smoothness of A is mainly determined by the regularity of another physical variable: the magnetic induction field.
A] of the vector potential so that its connected components be convex polyhedra.
Since Plato's work, two other classes of equilateral convex polyhedra
, as the collective of these shapes are called Archimedean solids (including truncated icosahedron) and Kepler solids (including rhombic polyhedra).
Eight papers cover filter banks and frames in the discrete periodic case; Newton polyhedra, asymptotics of volumes, and asymptotics of exponential integrals; approximation methods for unstable manifolds of equilibrium points of autonomous systems; the Steklov problems in symmetric domains with infinitely extended boundary; the spectrum of Steklov problems in peak-shaped domains; generalization of the Cwikel estimate for integral operators; asymptotic behavior of probabilities of moderate deviations; and the history of the study of convex polyhedra
with regular faces and faces composed of regular ones.