-
edges lie in
primary lines, the
stellation is primary. All
primary stellations are
fully supported.
Miller stellations. In "The Fifty-Nine Icosahedra"...
- of the
neighbouring faces. Luke
describes four more
stellations: the
second and
third stellations (expanding outwards), one
formed by
removing the second...
-
fully supported stellations generated by an icosahedron. The
seventeenth prime number is 59,
which is
equal to the
total number of
stellations of the icosahedron...
-
supported stellations. One of the
stellations of the
rhombic triacontahedron is the
compound of five cubes. The
total number of
stellations of the rhombic...
- fifty-nine
stellations for the
regular icosahedron. The
regular icosahedron itself is the
zeroth stellation of an icosahedron, and the
first stellation has each...
-
icosahedron is one of the
stellations of the icosahedron. (See The Fifty-Nine Icosahedra) The
three others are all the
stellations of the dodecahedron. The...
-
There are also
three regular star dodecahedra,
which are
constructed as
stellations of the
convex form. All of
these have
icosahedral symmetry,
order 120...
-
their book The Fifty-Nine Icosahedra,
Coxeter et al.
enumerated 59 such
stellations of the
regular icosahedron. Of these, many have a
single face in each...
- to
ensure that no two
stellations look
outwardly identical. Rule (v)
prevents any
disconnected compound of
simpler stellations.
Coxeter was the main driving...
-
extended the
stellation theory beyond regular forms, and
identified ten
stellations of the icosahedron,
including the
complete stellation.
Wheeler (1924)...
