The icosahedral pyramid is a four-dimensional convex polytope, bounded by one icosahedron as its base and by 20 triangular pyramid cells which meet at its apex. Since an icosahedron's circumradius is less than its edge length,[1] the tetrahedral pyramids can be made with regular faces.
Having all regular cells, it is a Blind polytope. Two copies can be augmented to make an icosahedral bipyramid which is also a Blind Polytope.
The regular 600-cell has icosahedral pyramids around every vertex.
The dual to the icosahedral pyramid is the dodecahedral pyramid, seen as a dodecahedral base, and 12 regular pentagonal pyramids meeting at an apex.
The icosahedralpyramid is a four-dimensional convex polytope, bounded by one icosahedron as its base and by 20 triangular pyramid cells which meet at...
polytope. The 600-cell has icosahedral cross sections of two sizes, and each of its 120 vertices is an icosahedralpyramid; the icosahedron is the vertex...
isosceles-trapezoidal pyramid vertex figure. The runcicantellated icosahedral honeycomb is equivalent to the runcitruncated icosahedral honeycomb. Viewed...
The pentagrammic star pyramid has the same vertex arrangement, but connected onto a pentagram base: Weisstein, Eric W. "Icosahedral Group". mathworld.wolfram...
triangle faces with five meeting at each of its twelve vertices. Both have icosahedral symmetry. The term "regular icosahedron" generally refers to the convex...
triangular faces, 54 edges, and 14 vertices. An icosahedral bipyramid can be seen as two icosahedralpyramids augmented together at their bases. It is the...
In mathematics, a pyramid number, or square pyramidal number, is a natural number that counts the stacked spheres in a pyramid with a square base. The...
A pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. The term often refers to square pyramidal numbers...
An icosahedral number is a figurate number that represents an icosahedron. The nth icosahedral number is given by the formula n ( 5 n 2 − 5 n + 2 ) 2...
Sulfolobus turreted icosahedral virus 1 (formerly Sulfolobus turreted icosahedral virus) is a species of virus that infects the archaeon Sulfolobus solfataricus...
A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...
+1/60[IxI].23). It is called the icosahedralpyramidal group and is the 3D icosahedral group, [5,3]. A regular dodecahedral pyramid can have this symmetry, with...
constructed by another diminishing of the 600-cell, removing 24 icosahedralpyramids. Equivalently, this may be realized as taking the convex hull of...
dodecahedral pyramids augmented together at their base. It is the dual of a icosahedral prism. Tetrahedral bipyramid Cubic bipyramid Icosahedral bipyramid...
The centered icosahedral numbers and cuboctahedral numbers are two different names for the same sequence of numbers, describing two different representations...
member of the subset of the sets above containing only triangular numbers, pyramidal numbers, and their analogs in other dimensions. Some kinds of figurate...
an octahedral number also represents the number of points in a square pyramid formed by stacking centered squares; for this reason, in his book Arithmeticorum...
perpendicular to the n-fold rotation axis. Cnv, [n], (*nn) of order 2n - pyramidal symmetry or full acro-n-gonal group (abstract group Dihn); in biology...
are constructed as stellations of the convex form. All of these have icosahedral symmetry, order 120. Some dodecahedra have the same combinatorial structure...
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