Polyhedra (under construction)
How to 
Use only this page if you are in MS Windows on a Firefox or Internet Explorer browser. Otherwise, go to the this page.
Select the viewing mode here:
(other modes will be made available)
In each element of the list below you can
- see an image of the polyhedron by pressing the image at the left
- if a net is available
- see an image of the net by pressing the image at the right
- see an animation of the conversion of the polyhedron to the net by pressing the arrow from left to right
- see an animation of the reverse conversion (from the net to the polyhedron) by pressing the arrow from right to left
- see and manipulate the polyhedron by pressing the icon at the upper
left corner (full version) or the following icon (light version)
In the case of the CDF corresponding to the heavier version, if the free rotation, translation and/or resizing movements are made with the mouse on the polyhedron, it will lose the cylindrical edges and spherical vertices during the movement (to allow greater speed in handling), returning to the original appearance when you release the mouse.
However, if you wish, you can perform the free rotation, translation and/or resizing movements with the mouse over the area surrounding the polyhedron, in which case it will keep the cylindrical edges and spherical vertices during movement.
The imagery available here were prepared using Mathematica.
When viewing any web page with an embedded CDF in Windows, Internet Explorer or Firefox, the F11 key (used to activate/deactivate Fullscreen) crashes after handling the CDF. (Wolfram has been notified of this behaviour.)
When this occurs:
- In Firefox, the solution is to go to Task Manager, and end the tasks related to Firefox and Mathematica CDFPlayer on the "Processes" tab;
- In Internet Explorer, you can exit Fullscreen by clicking in the upper left corner of the page "Go back" (the link is hard to see).
Convex
Tetrahedron
Cube
Octahedron
Dodecahedron
Icosahedron
Truncated tetrahedron
Cuboctahedron
Truncated octahedron
Truncated cube
Small rhombicuboctahedron
Great rhombicuboctahedron
Snub cube
Icosidodecahedron
Truncated icosahedron
Truncated dodecahedron
Small rhombicosidodecahedron
Great rhombicosidodecahedron
Snub dodecahedron
Triakis tetrahedron
Rhombic dodecahedron
Tetrakis hexahedron
Small triakis octahedron
Deltoidal icositetrahedron
Disdyakis dodecahedron
Pentagonal icositetrahedron
Rhombic triacontahedron
Pentakis dodecahedron
Triakis icosahedron
Deltoidal hexecontahedron
Disdyakis triacontahedron
Pentagonal hexecontahedron
Square pyramid (J1)
Pentagonal pyramid (J2)
Triangular cupola (J3)
Square cupola (J4)
Pentagonal cupola (J5)
Pentagonal rotunda (J6)
Elongated triangular pyramid (J7)
Elongated square pyramid (J8)
Elongated pentagonal pyramid (J9)
Gyroelongated square pyramid (J10)
Gyroelongated pentagonal pyramid (J11)
Triangular dipyramid (J12)
Pentagonal dipyramid (J13)
Elongated triangular dipyramid (J14)
Elongated square dipyramid (J15)
Elongated pentagonal dipyramid (J16)
Gyroelongated square dipyramid (J17)
Elongated triangular cupola (J18)
Elongated square cupola (J19)
Elongated pentagonal cupola (J20)
Elongated pentagonal rotunda (J21)
Gyroelongated triangular cupola (J22)
Gyroelongated square cupola (J23)
Gyroelongated pentagonal cupola (J24)
Gyroelongated pentagonal rotunda (J25)
Gyrobifastigium (J26)
Triangular orthobicupola (J27)
Square orthobicupola (J28)
Square gyrobicupola (J29)
Pentagonal orthobicupola (J30)
Pentagonal gyrobicupola (J31)
Pentagonal orthocupolarotunda (J32)
Pentagonal gyrocupolarotunda (J33)
Pentagonal orthobirotunda (J34)
Elongated triangular orthobicupola (J35)
Elongated triangular gyrobicupola (J36)
Elongated square gyrobicupola (J37)
Elongated pentagonal orthobicupola (J38)
Elongated pentagonal gyrobicupola (J39)
Elongated pent. orthocupolarotunda (J40)
Elongated pentag. gyrocupolarotunda (J41)
Elongated pentagonal orthobirotunda (J42)
Elongated pentagonal gyrobirotunda (J43)
Gyroelongated triangular bicupola (J44)
Gyroelongated square bicupola (J45)
Gyroelongated pentagonal bicupola (J46)
Gyroelongated pentag. cupolarotunda (J47)
Gyroelongated pentag. birotunda (J48)
Augmented triangular prism (J49)
Biaugmented triangular prism (J50)
Triaugmented triangular prism (J51)
Augmented pentagonal prism (J52)
Biaugmented pentagonal prism (J53)
Augmented hexagonal prism (J54)
Parabiaugmented hexagonal prism (J55)
Metabiaugmented hexagonal prism (J56)
Triaugmented hexagonal prism J57)
Augmented Dodecahedron (J58)
Parabiaugmented dodecahedron (J59)
Metabiaugmented dodecahedron (J60)
Triaugmented dodecahedron (J61)
Metabidiminished icosahedron (J62)
Tridiminished icosahedron (J63)
Augmented tridiminished icosahedron (J64)
Augmented truncated tetrahedron (J65)
Augmented truncated cube (J66)
Biaugmented truncated cube (J67)
Augmented truncated dodecahedron (J68)
Parabiaugmented trunc. dodecahedron (J69)
Metabiaugmented trunc. dodecahedron (J70)
Triaugmented truncated dodecahedron (J71)
Gyrate rhombicosidodeca. (J72)
Parabigyrate rhombicosidodeca.(J73)
Metabigyrate rhombicosidodeca. (J74)
Trigyrate rhombicosidodeca. (J75)
Diminished rhombicosidodeca. (J76)
Paragyrate dim. rhombicosidodeca. (J77)
Metagyrate dim. rhombicosidodeca. (J78)
Bigyrate dimin. rhombicosidodeca. (J79)
Parabidiminished rhombicosidodeca. (J80)
Metabidiminished rhombicosidodeca. (J81)
Gyrate bidim. rhombicosidodeca. (J82)
Tridiminished rhombicosidodeca. (J83)
Snub disphenoid (J84)
Snub square antiprism (J85)
Sphenocorona (J86)
Augmented sphenocorona (J87)
Sphenomegacorona (J88)
Hebesphenomegacorona (J89)
Disphenocingulum (J90)
Bilunabirotunda (J91)
Triangular hebesphenorotunda (J92)
Acute golden rhombohedron
Obtuse golden rhombohedron
Triangular prism
Pentagonal prism
Hexagonal prism
Heptagonal prism
Octagonal prism
Nonagonal prism
Decagonal prism
Square Antiprism
Pentagonal Antiprism
Hexagonal Antiprism
Heptagonal Antiprism
Octagonal Antiprism
Nonagonal Antiprism
Decagonal Antiprism
Dürer solid
Elongated dodecahedron
Squashed dodecahedron
Rhombic icosahedron
Rhombic enneacontahedron
Others
Stella octangula
Tetrahedron 2-compound
Tetrahedron 3-compound
Cube 2-compound
Cube-octahedron compound
First tetrahedron 4-compound
Second tetrahedron 4-compound
Third tetrahedron 4-compound
Cube 3-compound
Tetrahedron 5-compound
Tetrahedron 6-compound
First cube 4-compound
Second cube 4-compound
Dodecahedron 2-compound
Octahedron 3-compound
Cube 5-compound
First octahedron 4-compound
Second octahedron 4-compound
Dodecahedron-icosahedron compound
Cube 6-compound
Icosahedron 2-compound
Octahedron 5-compound
Tetrahedron 10-compound
Cube-octahedron 3-compound
Pentagonal prism 6-compound
Cube 10-compound
Dodecahedron 5-compound
Cube-octahedron 5-compound
Dodecahedron 6-compound
Octahedron 10-compound
Icosahedron 5-compound
Icosahedron 6-compound
Small stellated dodecahedron
Great Dodecahedron
Great stellated dodecahedron
Great Icosahedron
Szilassi polyhedron
Cumulated tetrahedron
Császár polyhedron
Jessen′s orthogonal icosahedron
Cumulated cube
Escher solid
Third rhombic dodecahedron stellation
Cumulated dodecahedron
Rhombic hexecontahedron
Small triambic icosahedron
Cumulated icosahedron
Second rhombic dodecahedron stellation
Dodeca-small triambic icosahedron comp.
Echidnahedron
Great rhombic triacontahedron
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Polyhedra (under construction)
How to
Use only this page if you are in MS Windows on a Firefox or Internet Explorer browser. Otherwise, go to the this page.
Select the viewing mode here:
(other modes will be made available)
In each element of the list below you can
- see an image of the polyhedron by pressing the image at the left
- if a net is available
- see an image of the net by pressing the image at the right
- see an animation of the conversion of the polyhedron to the net by pressing the arrow from left to right
- see an animation of the reverse conversion (from the net to the polyhedron) by pressing the arrow from right to left
- see and manipulate the polyhedron by pressing the icon at the upper
left corner (full version) or the following icon (light version)
In the case of the CDF corresponding to the heavier version, if the free rotation, translation and/or resizing movements are made with the mouse on the polyhedron, it will lose the cylindrical edges and spherical vertices during the movement (to allow greater speed in handling), returning to the original appearance when you release the mouse.
However, if you wish, you can perform the free rotation, translation and/or resizing movements with the mouse over the area surrounding the polyhedron, in which case it will keep the cylindrical edges and spherical vertices during movement.
The imagery available here were prepared using Mathematica.
When viewing any web page with an embedded CDF in Windows, Internet Explorer or Firefox, the F11 key (used to activate/deactivate Fullscreen) crashes after handling the CDF. (Wolfram has been notified of this behaviour.)
When this occurs:
- In Firefox, the solution is to go to Task Manager, and end the tasks related to Firefox and Mathematica CDFPlayer on the "Processes" tab;
- In Internet Explorer, you can exit Fullscreen by clicking in the upper left corner of the page "Go back" (the link is hard to see).
Convex
Tetrahedron
Cube
Octahedron
Dodecahedron
Icosahedron
Truncated tetrahedron
Cuboctahedron
Truncated octahedron
Truncated cube
Small rhombicuboctahedron
Great rhombicuboctahedron
Snub cube
Icosidodecahedron
Truncated icosahedron
Truncated dodecahedron
Small rhombicosidodecahedron
Great rhombicosidodecahedron
Snub dodecahedron
Triakis tetrahedron
Rhombic dodecahedron
Tetrakis hexahedron
Small triakis octahedron
Deltoidal icositetrahedron
Disdyakis dodecahedron
Pentagonal icositetrahedron
Rhombic triacontahedron
Pentakis dodecahedron
Triakis icosahedron
Deltoidal hexecontahedron
Disdyakis triacontahedron
Pentagonal hexecontahedron
Square pyramid (J1)
Pentagonal pyramid (J2)
Triangular cupola (J3)
Square cupola (J4)
Pentagonal cupola (J5)
Pentagonal rotunda (J6)
Elongated triangular pyramid (J7)
Elongated square pyramid (J8)
Elongated pentagonal pyramid (J9)
Gyroelongated square pyramid (J10)
Gyroelongated pentagonal pyramid (J11)
Triangular dipyramid (J12)
Pentagonal dipyramid (J13)
Elongated triangular dipyramid (J14)
Elongated square dipyramid (J15)
Elongated pentagonal dipyramid (J16)
Gyroelongated square dipyramid (J17)
Elongated triangular cupola (J18)
Elongated square cupola (J19)
Elongated pentagonal cupola (J20)
Elongated pentagonal rotunda (J21)
Gyroelongated triangular cupola (J22)
Gyroelongated square cupola (J23)
Gyroelongated pentagonal cupola (J24)
Gyroelongated pentagonal rotunda (J25)
Gyrobifastigium (J26)
Triangular orthobicupola (J27)
Square orthobicupola (J28)
Square gyrobicupola (J29)
Pentagonal orthobicupola (J30)
Pentagonal gyrobicupola (J31)
Pentagonal orthocupolarotunda (J32)
Pentagonal gyrocupolarotunda (J33)
Pentagonal orthobirotunda (J34)
Elongated triangular orthobicupola (J35)
Elongated triangular gyrobicupola (J36)
Elongated square gyrobicupola (J37)
Elongated pentagonal orthobicupola (J38)
Elongated pentagonal gyrobicupola (J39)
Elongated pent. orthocupolarotunda (J40)
Elongated pentag. gyrocupolarotunda (J41)
Elongated pentagonal orthobirotunda (J42)
Elongated pentagonal gyrobirotunda (J43)
Gyroelongated triangular bicupola (J44)
Gyroelongated square bicupola (J45)
Gyroelongated pentagonal bicupola (J46)
Gyroelongated pentag. cupolarotunda (J47)
Gyroelongated pentag. birotunda (J48)
Augmented triangular prism (J49)
Biaugmented triangular prism (J50)
Triaugmented triangular prism (J51)
Augmented pentagonal prism (J52)
Biaugmented pentagonal prism (J53)
Augmented hexagonal prism (J54)
Parabiaugmented hexagonal prism (J55)
Metabiaugmented hexagonal prism (J56)
Triaugmented hexagonal prism J57)
Augmented Dodecahedron (J58)
Parabiaugmented dodecahedron (J59)
Metabiaugmented dodecahedron (J60)
Triaugmented dodecahedron (J61)
Metabidiminished icosahedron (J62)
Tridiminished icosahedron (J63)
Augmented tridiminished icosahedron (J64)
Augmented truncated tetrahedron (J65)
Augmented truncated cube (J66)
Biaugmented truncated cube (J67)
Augmented truncated dodecahedron (J68)
Parabiaugmented trunc. dodecahedron (J69)
Metabiaugmented trunc. dodecahedron (J70)
Triaugmented truncated dodecahedron (J71)
Gyrate rhombicosidodeca. (J72)
Parabigyrate rhombicosidodeca.(J73)
Metabigyrate rhombicosidodeca. (J74)
Trigyrate rhombicosidodeca. (J75)
Diminished rhombicosidodeca. (J76)
Paragyrate dim. rhombicosidodeca. (J77)
Metagyrate dim. rhombicosidodeca. (J78)
Bigyrate dimin. rhombicosidodeca. (J79)
Parabidiminished rhombicosidodeca. (J80)
Metabidiminished rhombicosidodeca. (J81)
Gyrate bidim. rhombicosidodeca. (J82)
Tridiminished rhombicosidodeca. (J83)
Snub disphenoid (J84)
Snub square antiprism (J85)
Sphenocorona (J86)
Augmented sphenocorona (J87)
Sphenomegacorona (J88)
Hebesphenomegacorona (J89)
Disphenocingulum (J90)
Bilunabirotunda (J91)
Triangular hebesphenorotunda (J92)
Acute golden rhombohedron
Obtuse golden rhombohedron
Triangular prism
Pentagonal prism
Hexagonal prism
Heptagonal prism
Octagonal prism
Nonagonal prism
Decagonal prism
Square Antiprism
Pentagonal Antiprism
Hexagonal Antiprism
Heptagonal Antiprism
Octagonal Antiprism
Nonagonal Antiprism
Decagonal Antiprism
Dürer solid
Elongated dodecahedron
Squashed dodecahedron
Rhombic icosahedron
Rhombic enneacontahedron
Others
Stella octangula
Tetrahedron 2-compound
Tetrahedron 3-compound
Cube 2-compound
Cube-octahedron compound
First tetrahedron 4-compound
Second tetrahedron 4-compound
Third tetrahedron 4-compound
Cube 3-compound
Tetrahedron 5-compound
Tetrahedron 6-compound
First cube 4-compound
Second cube 4-compound
Dodecahedron 2-compound
Octahedron 3-compound
Cube 5-compound
First octahedron 4-compound
Second octahedron 4-compound
Dodecahedron-icosahedron compound
Cube 6-compound
Icosahedron 2-compound
Octahedron 5-compound
Tetrahedron 10-compound
Cube-octahedron 3-compound
Pentagonal prism 6-compound
Cube 10-compound
Dodecahedron 5-compound
Cube-octahedron 5-compound
Dodecahedron 6-compound
Octahedron 10-compound
Icosahedron 5-compound
Icosahedron 6-compound
Small stellated dodecahedron
Great Dodecahedron
Great stellated dodecahedron
Great Icosahedron
Szilassi polyhedron
Cumulated tetrahedron
Császár polyhedron
Jessen′s orthogonal icosahedron
Cumulated cube
Escher solid
Third rhombic dodecahedron stellation
Cumulated dodecahedron
Rhombic hexecontahedron
Small triambic icosahedron
Cumulated icosahedron
Second rhombic dodecahedron stellation
Dodeca-small triambic icosahedron comp.
Echidnahedron
Great rhombic triacontahedron
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.