منابع مشابه
Kaleidoscopical Configurations in G-Spaces
Let G be a group and X be a G-space with the action G×X → X, (g, x) 7→ gx. A subset F of X is called a kaleidoscopical configuration if there exists a coloring χ : X → C such that the restriction of χ on each subset gF , g ∈ G, is a bijection. We present a construction (called the splitting construction) of kaleidoscopical configurations in an arbitrary G-space, reduce the problem of characteri...
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A new class of isogonal polyhedra is considered. Polyhedra are constructed using a combination of reflections in several symmetry planes of a given symmetry group. The procedure is a generalization of a Wythoff construction used for building uniform polyhedra. Every valid combination of symmetry planes generates an entire family of isogonal polyhedra. There are seven families with tetrahedral s...
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Let G be a group and X be a G-space with the action G X ! X, (g; x) 7! gx. A subset F of X is called a kaleidoscopical con guration if there exists a coloring : X ! C such that the restriction of on each subset gF , g 2 G, is a bijection. We present a construction (called the splitting construction) of kaleidoscopical con gurations in an arbitrary G-space, reduce the problem of characterization...
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2014
ISSN: 1072-3374,1573-8795
DOI: 10.1007/s10958-014-1917-9