Jump to content

User:Double sharp/Polychora/Truncates

From Wikipedia, the free encyclopedia
# Schläfli symbol Bowers acronym Long name CD
Truncated convex regular polychora
18 t{3,3,3} Tip Truncated 5-cell
19 t{4,3,3} Tat Truncated tesseract
20 t{3,3,4} Thex Truncated 16-cell or
21 t{3,4,3} Tico Truncated 24-cell or or
22 t{5,3,3} Thi Truncated 120-cell
23 t{3,3,5} Tex Truncated 600-cell
Truncated Schläfli-Hess polychora
24 t{3,5,5/2} Tiffix Truncated faceted hexacosichoron
25 t{5,5/2,5} Tighi Truncated great hecatonicosachoron
26 t{5,3,5/2} Taghi Truncated grand hecatonicosachoron
27 t{5,5/2,3} Tigaghi Truncated great grand hecatonicosachoron
28 t{3,5/2,5} Tigfix Truncated great faceted hexacosichoron
29 t{3,3,5/2} Taggix Truncated great hexacosichoron
Others
30 Titho Truncated tesseractihemioctachoron  
Truncated ditrigonaries
31 t{3,(5/2,3,3)} Tissidtixhi Truncated small ditrigonary hexacosihecatonicosachoron
32 t{3,(5,5/3,3)} Tidtidohi Truncated ditrigonary dishecatonicosachoron (the 5/3 goes on the vertical line)
33 t{3,(5/3,3,3/2)} Tiggidtixhi Truncated great ditrigonary hexacosihecatonicosachoron
Quasitruncates
34 t{4/3,3,3} Quitit Quasitruncated tesseract
35 t{5/3,5,3} Quit Sishi Quasitruncated small stellated hecatonicosachoron
36 t{5/3,3,5} Quit Gishi Quasitruncated great stellated hexacosichoron
37 t{5/3,5,5/2} Quit Gashi Quasitruncated grand stellated hexacosichoron
38 t{5/3,3,3} Quit Gogishi Quasitruncated great grand stellated hecatonicosachoron

Truncated Schläfli-Hess polychora

[edit]

Truncated names should be consistent with regular forms at afli-Hess polychoron Tom Ruen (talk) 23:57, 28 March 2014 (UTC)

Name
(Bowers acronym)
Solid Schläfli
{p, q,r}
Coxeter–Dynkin
Cells1
t{p, q}
Cells2
{q, r}
Faces1
t{p}
Faces2
{q}
Edges Vertices Density χ
Truncated icosahedral 120-cell
(or Truncated faceted 600-cell)
#24 (Tiffix)
t{3,5,5/2}
120
t{3,5}
120
{5,5/2}
1200
{6}
1440
{5}
4320 1440 4 480
Truncated great 120-cell
#25 (tighi)
t{5,5/2,5}
120
t{5,5/2}
120
{5/2,5}
720
{10}
1440
{5/2}
4320 1440 6 0
Truncated grand 120-cell
#26 (taghi)
t{5,3,5/2}
120
t{5,3}
120
{3,5/2}
720
{10}
2400
{3}
4320 1440 20 0
Truncated great grand 120-cell
#27 (tigaghi)
t{5,5/2,3}
120
t{5,5/2}
120
{5/2,3}
720
{10}
1440
{5/2}
4800 2400 76 −480
Truncated great icosahedral 120-cell
(or Truncated great faceted 600-cell)
#28 (tigfix)
t{3,5/2,5}
120
t{3,5/2}
120
{5/2,5}
1200
{6}
1440
{5/2}
4320 1440 76 480
Truncated grand 600-cell
#29 (taggix)
t{3,3,5/2}
600
t{3,3}
120
{3,5/2}
1200
{6}
2400
{3}
4320 1440 191 0
Aren't they already consistent? (save the substitution of hecatonicosachoron and hexacosichoron for 120-cell and 600-cell)
Where do you get the decagons in tigfix from? I think you're missing the hexagons from the tiggy cells. Now it matches with what Stella4D gives. Edges and faces should be duals of each other, hence should be 4320 edges – matching taggix. Double sharp (talk) 05:46, 28 March 2014 (UTC)
Maybe fixed up now? Tom Ruen (talk) 00:01, 29 March 2014 (UTC)