Last Updated:2022/12/23
Sentence
Thus
the
vertex
figure
of
a
polygon
is
the
line-segment
whose
end-points
are
the
vertex
figures
of
the
two
edges
at
one
vertex,
the
vertex
figure
of
a
polyhedron
or
tessellation
{p,
q}
is
the
polygon
{q}
whose
edges
are
the
vertex
figures
of
the
q
faces
at
one
vertex,
and
the
analogous
"vertex
figure"
of
the
honeycomb
of
cubes
(§1)
is
the
polyhedron
whose
faces
are
the
vertex
figures
of
the
eight
cubic
cells
that
come
together
at
one
vertex.
Quizzes for review
Thus the vertex figure of a polygon is the line-segment whose end-points are the vertex figures of the two edges at one vertex, the vertex figure of a polyhedron or tessellation {p, q} is the polygon {q} whose edges are the vertex figures of the q faces at one vertex, and the analogous vertex figure
of the honeycomb of cubes (§1) is the polyhedron whose faces are the vertex figures of the eight cubic cells that come together at one vertex.
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