
Pentakisdodecahedron
Number of faces: 60
Number of edges: 90
Number of vertices: 32


Small Triakisoctahedron
(triakis octahedron)
Number of faces: 24
Number of edges: 36
Number of vertices: 14


Small Triambic Icosahedron
(first stellation of the icosahedron)
Number of faces: 20
Number of edges: 60
Number of vertices: 32


Isosceles Dodecahedron
Number of faces: 12
Number of edges: 18
Number of vertices: 8


Hexakaidecahedron
Number of faces: 16
Number of edges: 24
Number of vertices: 10


Isosceles Icosahedron
Number of faces: 20
Number of edges: 30
Number of vertices: 12


Icositetrahedron
Number of faces: 24
Number of edges: 36
Number of vertices: 14


Icosioctahedron
Number of faces: 28
Number of edges: 42
Number of vertices: 16


Tricontidihedron
Number of faces: 32
Number of edges: 48
Number of vertices: 18


Tricontihexahedron
Number of faces: 36
Number of edges: 54
Number of vertices: 20


Tetracontahedron
Number of faces: 40
Number of edges: 60
Number of vertices: 22


Hecatohedron
Number of faces: 100
Number of edges: 150
Number of vertices: 52


Half Isosceles Dodecahedron (1)
(heptahedron)
Number of faces: 7
Number of edges: 11
Number of vertices: 6


Half Isosceles Dodecahedron (2)
(octahedron)
Number of faces: 8
Number of edges: 13
Number of vertices: 7


Half Hexakaidecahedron (1)
(enneahedron)
Number of faces: 9
Number of edges: 14
Number of vertices: 7


Half Hexakaidecahedron (2)
(enneahedron)
Number of faces: 9
Number of edges: 15
Number of vertices: 8


Half Isosceles Icosahedron (1)
(hendecahedron)
Number of faces: 11
Number of edges: 17
Number of vertices: 8


Half Isosceles Icosahedron (2)
(dodecahedron)
Number of faces: 12
Number of edges: 20
Number of vertices: 10


Half Icositetrahedron (1)
(triskaidecahedron)
Number of faces: 13
Number of edges: 20
Number of vertices: 9


Half Icositetrahedron (2)
(triskaidecahedron)
Number of faces: 13
Number of edges: 22
Number of vertices: 11


Half Icosioctahedron (1)
(pentakaidecahedron)
Number of faces: 15
Number of edges: 23
Number of vertices: 10


Half Icosioctahedron (2)
(hexakaidecahedron)
Number of faces: 16
Number of edges: 27
Number of vertices: 13


Half Tricontidihedron (1)
(heptakaidecahedron)
Number of faces: 17
Number of edges: 26
Number of vertices: 11


Half Tricontidihedron (2)
(heptakaidecahedron)
Number of faces: 17
Number of edges: 29
Number of vertices: 14


Half Tricontihexahedron (1)
(enneakaidecahedron)
Number of faces: 19
Number of edges: 29
Number of vertices: 12


Half Tricontihexahedron (2)
(icosahedron)
Number of faces: 20
Number of edges: 34
Number of vertices: 16


Half Tetracontahedron (1)
(icosimonohedron)
Number of faces: 21
Number of edges: 32
Number of vertices: 13


Half Tetracontahedron (2)
(icosimonohedron)
Number of faces: 21
Number of edges: 36
Number of vertices: 17


Half Hecatohedron (1)
(pentacontamonohedron)
Number of faces: 51
Number of edges: 77
Number of vertices: 28


Half Hecatohedron (2)
(pentacontadihedron)
Number of faces: 52
Number of edges: 90
Number of vertices: 40






Obelisk
Number of faces: 9
Number of edges: 16
Number of vertices: 9


Cubic Shape 1
Number of faces: 9
Number of edges: 21
Number of vertices: 14


Cubic Shape 2
Number of faces: 12
Number of edges: 30
Number of vertices: 20


Cubic Shape 3
Number of faces: 15
Number of edges: 34
Number of vertices: 21


Cubic Shape 4
Number of faces: 12
Number of edges: 30
Number of vertices: 20


Cubic Shape 5
Number of faces: 12
Number of edges: 30
Number of vertices: 20


Cubic Shape 6
Number of faces: 12
Number of edges: 26
Number of vertices: 16
























Decagonal Dipyramidal Antiprism
(decagonal gyroelongated bipyramid or tetracontahedron)
Number of faces: 40
Number of edges: 60
Number of vertices: 22


Pentagonalpentagrammic Shape
Number of faces: 17
Number of edges: 30
Number of vertices: 15


Hebdomicontadissaedron
(heptacontadihedron)
Number of faces: 72
Number of edges: 132
Number of vertices: 62


Hectohexecontadihedron
Number of faces: 162
Number of edges: 306
Number of vertices: 146


Faceted Oloid
Number of faces: 40
Number of edges: 80
Number of vertices: 42


Tetrakis Hexahedron
(disdyakis hexahedron)
Number of faces: 24
Number of edges: 36
Number of vertices: 14








Football Star
(pentagrammic based elevated half truncated icosahedron)


Pentagonaldecagonal Solid
Number of faces: 17
Number of edges: 30
Number of vertices: 15


Squaredecagonal Solid
Number of faces: 18
Number of edges: 34
Number of vertices: 18


Prolate Hectohexecontadihedron
(prolate spheroid like polyhedron)
Number of faces: 162
Number of edges: 306
Number of vertices: 146


Prolate Heptacontadihedron
(prolate spheroid like polyhedron with 72 faces)
Number of faces: 72
Number of edges: 132
Number of vertices: 62


Semi Prolate Heptacontadihedron
(egg like polyhedron with 72 faces)
Number of faces: 72
Number of edges: 132
Number of vertices: 62


Pentagonal Obelisk
Number of faces: 11
Number of edges: 20
Number of vertices: 11


Hexagonal Obelisk
Number of faces: 13
Number of edges: 24
Number of vertices: 13


Heptagonal Obelisk
Number of faces: 15
Number of edges: 28
Number of vertices: 15


Octagonal Obelisk
Number of faces: 17
Number of edges: 32
Number of vertices: 17


Decagonal Obelisk
Number of faces: 21
Number of edges: 40
Number of vertices: 21


Standing Pentagram
Number of faces: 7
Number of edges: 14
Number of vertices: 9
