The 75 Uniform Compunds of Uniform Polyhedra
Short Names



Jonathan Bowers has created short names for the Uniform Compounds, with the exception of the prism forms, numbers 20 through 25, which are infinite sets. These short names have been refered to as "Bowers Style Acronyms".

The table also contains the long name (also created by Bowers) from which were derived the Bowers Style Acronyms.

Links below display various models



01SisSmall Snubihedron6 Tet6 Tetrahedra   D2v   D2v   D2v   C3v  
02DisDisnubihedron12 Tet12 Tetrahedra   D4h   D4h   D4h   D3v  
03SnuSnubihedron6 Tet6 Tetrahedra   off   stel   wrl   switch   cyl  
04SoStella Octangula (Stellated Octahedron)2 Tet2 Tetrahedra   off   stel   wrl   switch   cyl  
05KiChiro-Icosahedron5 Tet5 Tetrahedra   off   stel   wrl   switch   cyl  
06EIcosicosahedron10 Tet10 Tetrahedra   off   stel   wrl   switch   cyl  
07RisdohRhombisnub Dishexahedron6 Cube6 Cubes   D4h   D4h   D4h   D3v  
08RahRhombihexahedron3 Cube3 Cubes   off   stel   wrl   switch   cyl  
09RhomRhombihedron5 Cube5 Cubes   off   stel   wrl   switch   cyl  
10DissitDisnub Tetrahedron4 Oct4 Octahedra   D2h   D2h   D2h   S6  
11DosoDisnub Octahedron8 Oct8 Octahedra   D4h   D4h   D4h   D3v
12SnoSnub Octahedron4 Oct4 Octahedra   off   stel   wrl   switch   cyl  
13AddasiAlter Disnub Icosahedron20 Oct20 Octahedra   D2h   D3v   D5v
14DasiDisnub Icosahedron20 Oct20 Octahedra   off   stel   wrl   switch   cyl  
15GissiGreat Snub Icosahedron10 Oct10 Octahedra   off   stel   wrl   switch   cyl  
16SiSnub Icosahedron10 Oct10 Octahedra   off   stel   wrl   switch   cyl  
17SeSmall Icosicosahedron5 Oct5 Octahedra   off   stel   wrl   switch   cyl  
18HirkiHemirhombichiro-Icosahedron5 Thah5 Tetrahemihexahedron   off   stel   wrl   switch   cyl  
19SapisseriSnub Pseudosnub Rhombicosahedron20 Thah20 Tetrahemihexahedron   off   stel   wrl   switch   cyl  
26GadsidGreat Disnub Dodecahedron12 Pap12 Pentagonal Antiprisms   D2h   D3v   D5v
27GassidGreat Snub Dodecahedron6 Pap6 Pentagonal Antiprisms   off   stel   wrl   switch   cyl  
28GidasidGreat Invertidisnub Dodecahedron12 Starp12 Pentagrammic Crossed Antiprisms   D2h   D3v   D5v
29GissedGreat Invertisnub Dodecahedron6 Starp6 Pentagrammic Crossed Antiprisms   off   stel   wrl   switch   cyl  
30RoRhombioctahedron4 Trip4 Triangular Prisms   off   stel   wrl   switch   cyl  
31DroDirhombioctahedron8 Trip8 Triangular Prisms   off   stel   wrl   switch   cyl  
32KriChirorhombicosahedron10 Trip10 Triangular Prisms   off   stel   wrl   switch   cyl  
33DriDirhombicosahedron20 Trip20 Triangular Prisms   off   stel   wrl   switch   cyl  
34KredChirorhombidodecahedron6 Pip6 Pentagonal Prisms   off   stel   wrl   switch   cyl  
35DirdDirhombidodecahedron12 Pip12 Pentagonal Prisms   off   stel   wrl   switch   cyl  
36GikridGreat Chirorhombidodecahedron6 Stip6 Pentagrammic Prisms   off   stel   wrl   switch   cyl  
37GiddirdGreat Dirhombidodecahedron12 Stip12 Pentagrammic Prisms   off   stel   wrl   switch   cyl  
38GrisoGreat Rhombisnub Octahedron4 Hip4 Hexagonal Prisms   off   stel   wrl   switch   cyl  
39RosiRhombisnub Icosahedron10 Hip10 Hexagonal Prisms   off   stel   wrl   switch   cyl  
40RassidRhombisnub Dodecahedron6 Dip6 Decagonal Prisms   off   stel   wrl   switch   cyl  
41GrassidGreat Rhombisnub Dodecahedron6 Stiddip6 Decagrammic Prisms   off   stel   wrl   switch   cyl  
42GassicGreat Snub Cube3 Squap3 Square Antiprisms   off   stel   wrl   switch   cyl  
43GidsacGreat Disnub Cube6 Squap6 Square Antiprisms   off   stel   wrl   switch   cyl  
44SassidSmall Snub Dodecahedron6 Stap6 Pentagrammic Antiprisms   off   stel   wrl   switch   cyl  
45SadsidSmall Disnub Dodecahedron12 Stap12 Pentagrammic Antiprisms   off   stel   wrl   switch   cyl  
46SiddoSnub Disoctahedron2 Ike2 Icosahedra   off   stel   wrl   switch   cyl  
47SneSnub Icosicosahedron5 Ike5 Icosahedra   off   stel   wrl   switch   cyl  
48PresipsidoPseudoretrosnub Pentagonal Snub (Pseudo)Disoctahedron2 Gad2 Great Dodecahedra   off   stel   wrl   switch   cyl  
49PresipsiPseudoretrosnub Pentagonal Snub (Pseudo)Icosicosahedron5 Gad5 Great Dodecahedra   off   stel   wrl   switch   cyl  
50PassipsidoPseudosnub Pentagrammattic Snub (Pseudo)Disoctahedron2 Sissid2 Small Stellated Dodecahedra   off   stel   wrl   switch   cyl  
51PassipsiPseudosnub Pentagrammattic Snub (Pseudo)Icosicosahedron5 Sissid5 Small Stellated Dodecahedra   off   stel   wrl   switch   cyl  
52SirsidoSmall Retrosnub Disoctahedron2 Gike2 Great Icosahedra   off   stel   wrl   switch   cyl  
53SirseiSmall Retrosnub Icosicosahedron5 Gike5 Great Icosahedra   off   stel   wrl   switch   cyl  
54TissoTruncated Stella Octangula2 Tut2 Truncated Tetrahedra   off   stel   wrl   switch   cyl  
55TakiTruncated Chiro-Icosahedron5 Tut5 Truncated Tetrahedra   off   stel   wrl   switch   cyl  
56TeTruncated Icosicosahedron10 Tut10 Truncated Tetrahedra   off   stel   wrl   switch   cyl  
57HarieHyperhombicosicosahedon5 Tic5 Truncated Cubes   off   stel   wrl   switch   cyl  
58QuahriQuasihyperhombicosicosahedron5 Quith5 Quasitruncated Hexahedra   off   stel   wrl   switch   cyl  
59ArieAntirhombicosicosahedron5 Co5 Cuboctahedra   off   stel   wrl   switch   cyl  
60GariGreat Antirhombicosahedron5 Cho5 Cubohemioctahedra   off   stel   wrl   switch   cyl  
61IddeiIcosidisicosahedron5 Oho5 Octahemioctahedra   off   stel   wrl   switch   cyl  
62RasseriRhombisnub Rhombicosicosahedron5 Sirco5 Rhombicuboctahedra   off   stel   wrl   switch   cyl  
63RasherRhombisnub Hyperhombihedron5 Sroh5 Small Rhombihexahedra   off   stel   wrl   switch   cyl  
64RahrieRhombihyperhombicosicosahedron5 Socco5 Small Cubicuboctahedra   off   stel   wrl   switch   cyl  
65RaquahriRhombiquasihyperhombicosicosahedron5 Gocco5 Great Cubicuboctahedra   off   stel   wrl   switch   cyl  
66RasquahrRhombisnub Quasihyperhombihedron5 Groh5 Great Rhombihexahedra   off   stel   wrl   switch   cyl  
67RasquahpriRhombisnub Quasihyperpseudorhombicosicosahedron5 Querco5 Great Rhombicuboctahedra   off   stel   wrl   switch   cyl  
68DiscoDisnub Cuboctahedron2 Snic2 Snub Cubes   off   stel   wrl   switch   cyl  
69DissidDisnub Icosidodecahedron2 Snid2 Snub Dodecahedra   off   stel   wrl   switch   cyl  
70GiddasidGreat Disnub Icosidodecahedron2 Gosid2 Great Snub Icosidodecahedra   off   stel   wrl   switch   cyl  
71GidsidGreat Invertidisnub Icosidodecahedron2 Gisid2 Great Inverted Snub Icosidodecahedra   off   stel   wrl   switch   cyl  
72GidrissidGreat Diretrosnub Icosidodecahedron2 Girsid2 Great Retrosnub Icosidodecahedra   off   stel   wrl   switch   cyl  
73DisdidDisnub Dodecadodecahedron2 Sidded2 Snub Dodecadodecahedra   off   stel   wrl   switch   cyl  
74IdisdidInvertidisnub Dodecadodecahedron2 Isdid2 Inverted Snub Dodecadodecahedra   off   stel   wrl   switch   cyl  
75DesidedDisnub Icosidodecadodecahedron2 Sided2 Snub Icosidodecadodecahedra   off   stel   wrl   switch   cyl  

Question or comments about the web page should be directed to PolyhedraSmith@gmail.com.

Generation of VRML models was expedited by the use of Robert Webb's Stella application, and the .Stel files are available above to Stella users. The Hedron application by Jim McNeill was used extensively for model creation and to generate switch files.

I'd also like to thank Alex Doskey for his spreadsheet method which made the construction of this page much easier. I also use JovoToys in polyhedra contruction.

History:

2024-06-17 Use base.css
2024-06-13 Switch to Multi OFF Viewer
2023-09-03 Switch to Simple OFF Viewer and X_Ite VRML Viewer
2019-03-12 Changed email address from defunct bigfoot.com
2008-01-05 Added OFF files. Took spaces out of file names
2007-01-04 Added links to pictures and cylinder vrml
2006-12-16 Initial Release



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