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Concept
Spherical Coxeter Group
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Summary
A
Spherical Coxeter Group
is a
Group generated by reflections
across
Hyperplanes in a Euclidean space
, where the group
Acts on a sphere
and the corresponding
Coxeter Diagram
is finite. These groups are
Fundamental in the study of symmetry
and geometry, as they
Classify regular polytopes
and
Tessellations in spherical spaces
.
Concepts
Coxeter Diagram
Reflection Group
Euclidean Space
Hyperplane
Symmetry
Regular Polytopes
Tessellations
Finite Group
Geometric Group Theory
Spherical Geometry
Coxeter Groups
Relevant Degrees
Algebra 70%
Geometry 30%
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