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Dodecadodecahedron

Number of faces: 24

Number of edges: 60

Number of vertices: 30

Pentagonal Hexecontahedron

Number of faces: 60

Number of edges: 150

Number of vertices: 92

Pentagonal Icositetrahedron

Number of faces: 24

Number of edges: 60

Number of vertices: 38

Square Trapezohedron

Number of faces: 8

Number of edges: 16

Number of vertices: 10

Decahedron

(pentagonal trapezohedron)

Number of faces: 10

Number of edges: 20

Number of vertices: 12

Rhombic Dodecahedron

Number of faces: 12

Number of edges: 24

Number of vertices: 14

Great Rhombihexacron

Number of faces: 24

Number of edges: 48

Number of vertices: 18

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

Third Stellation of The Icosahedron

Number of faces: 20

Seventh Stellation of The Icosahedron

Number of faces: 20

Ninth Stellation of The Icosahedron

Number of faces: 20

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

Half Truncated Icosahedron

(half football)

Decagonal Dipyramidal Antiprism

(decagonal gyroelongated bipyramid or tetracontahedron)

Number of faces: 40

Number of edges: 60

Number of vertices: 22

Pentagonal-pentagrammic 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)

Pentagonal-decagonal Solid

Number of faces: 17

Number of edges: 30

Number of vertices: 15

Square-decagonal 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

Rhombicuboctahedron Variation

Number of faces: 18

Number of edges: 48

Number of vertices: 32

**Other Polyhedra**

sixth stellation of the icosahedron

eighth stellation of the icosahedron

final stellation of the icosahedron

semi prolate hectohexecontadihedron

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