### Some articles on *vertex figures*:

Near-miss Johnson Solid - Possible

... made of regular polygons, have a countably infinite set of

**Vertex Figures**... made of regular polygons, have a countably infinite set of

**vertex figures**that they can use, defined by a positive angle defect ... The set of polygons that can create convex**vertex figures**include Triples p.q.r 3.3.(3-5), 3.4.(4-11), 3.5.(5-29), 3.6.(6+), 3.7.(7-41), 3.8.(8-23), 3.9.(9-17), 3.10.(10-14 ... of these polygon lists further extend possible**vertex figures**...Abstract Polytope - The Amalgamation Problem and Universal Polytopes - Local Topology

... an abstract polytope is called locally X if its facets and

... an abstract polytope is called locally X if its facets and

**vertex figures**are, topologically, either spheres or X, but not both spheres ... of rank 4 (that is, four-dimensional) locally projective polytopes, since their facets and**vertex figures**are tessellations of real projective planes ... way to describe a polytope whose facets are tori and whose**vertex figures**are projective planes, for example ...### Famous quotes containing the word figures:

“It could probably be shown by facts and *figures* that there is no distinctly native American criminal class except Congress.”

—Mark Twain [Samuel Langhorne Clemens] (1835–1910)

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