| #
|
Bowers acronym
|
Long name
|
Schläfli symbol
|
CD
|
| 1
|
Pen
|
Pentachoron
|
{3, 3, 3}
|
  
|
| 2
|
Tes
|
Tesseract
|
{4, 3, 3}
|
|
| 3
|
Hex
|
Hexadecachoron
|
{3, 3, 4}
|
or    
|
| 4
|
Ico
|
Icositetrachoron
|
{3, 4, 3}
|
or or 
|
| 5
|
Hi
|
Hecatonicosachoron
|
{5, 3, 3}
|
|
| 6
|
Ex
|
Hexacosichoron
|
{3, 3, 5}
|
|
| 7
|
Fix
|
Faceted hexacosichoron
|
{3, 5, 5/2}
|
 
|
| 8
|
Gohi
|
Great hecatonicosachoron
|
{5, 5/2, 5}
|
|
| 9
|
Gahi
|
Grand hecatonicosachoron
|
{5, 3, 5/2}
|
|
| 10
|
Sishi
|
Small stellated hecatonicosachoron
|
{5/2, 5, 3}
|
|
| 11
|
Gaghi
|
Great grand hecatonicosachoron
|
{5, 5/2, 3}
|
|
| 12
|
Gishi
|
Great stellated hecatonicosachoron
|
{5/2, 3, 5}
|
|
| 13
|
Gashi
|
Grand stellated hecatonicosachoron
|
{5/2, 5, 5/2}
|
|
| 14
|
Gofix
|
Great faceted hexacosichoron
|
{3, 5/2, 5}
|
|
| 15
|
Gax
|
Grand hexacosichoron
|
{3, 3, 5/2}
|
|
| 16
|
Gogishi
|
Great grand stellated hecatonicosachoron
|
{5/2, 3, 3}
|
|
| 17
|
Tho
|
Tesseractihemioctachoron
|
|
   (double covering)
|
