List of polychora by facet layout (Meta, 12)
From Hi.gher. Space
(Difference between revisions)
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|[[Hecatonicosachoron]]||<span style="cursor: help; border-bottom: 1px dotted black; color: #444;" title="30,60,30,60,60,60,60,60,60,30,60,30,0">12 rings</span>||Ks1||120||720||1200||600||None||[[Hexacosichoron]] | |[[Hecatonicosachoron]]||<span style="cursor: help; border-bottom: 1px dotted black; color: #444;" title="30,60,30,60,60,60,60,60,60,30,60,30,0">12 rings</span>||Ks1||120||720||1200||600||None||[[Hexacosichoron]] | ||
|- | |- | ||
- | |{{FLD|dim=4| | + | |{{FLD|dim=4|left=erev|a3|line2|a3tend|end2}} |
|[[Pentachoric rectate]]||Unknown||Kp6||10||40||60||30||None||Unknown | |[[Pentachoric rectate]]||Unknown||Kp6||10||40||60||30||None||Unknown | ||
|- | |- | ||
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|end2|e4}} | |{{FLD|dim=4|left=e3|erev2|a3|line|a3|end2|e4}} | ||
|[[Pentachoric hemicate]]||Unknown||Kp2||10||30||30||10||None||Unknown | |[[Pentachoric hemicate]]||Unknown||Kp2||10||30||30||10||None||Unknown | ||
+ | |- | ||
+ | |{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a4|end}} | ||
+ | |[[Tesseric hemicate]]||Unknown||Ke2||24||88||96||32||None||Unknown | ||
|- | |- | ||
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a2tend|end2}} | |{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a2tend|end2}} | ||
Line 40: | Line 43: | ||
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a3tend|end2}} | |{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a3tend|end2}} | ||
|[[Pentachoric truncate]]||Unknown||Kp3||10||30||40||20||None||Unknown | |[[Pentachoric truncate]]||Unknown||Kp3||10||30||40||20||None||Unknown | ||
+ | |- | ||
+ | |{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a4tend|end2}} | ||
+ | |[[Tesseric truncate]]||Unknown||Ke3||24||88||128||64||None||Unknown | ||
+ | |- | ||
+ | |{{FLD|dim=4|left=erev|a4|line2|a3tend2|line|a3tend2|line2|a3|end}} | ||
+ | |[[Tesseric rectate]]||Unknown||Ke6||24||120||192||96||None||Unknown | ||
|- | |- | ||
|{{FLD|dim=4|left=erev2|a3tend|line2|a2bvert|line2|a3bvert|end2}}{{FLD|dim=4|left=space|erev2|a2tvert|line2|a3tvert|line2|a2bend|end2}} | |{{FLD|dim=4|left=erev2|a3tend|line2|a2bvert|line2|a3bvert|end2}}{{FLD|dim=4|left=space|erev2|a2tvert|line2|a3tvert|line2|a2bend|end2}} | ||
Line 46: | Line 55: | ||
|{{FLD2|dim=4|left=erev|a3|line2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a3tbar|tline|a3tbar|tline2|a2tleft|end2}} | |{{FLD2|dim=4|left=erev|a3|line2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a3tbar|tline|a3tbar|tline2|a2tleft|end2}} | ||
|[[Pentachoric omnihemate]]||Unknown||Kp5||20||80||90||30||None||Unknown | |[[Pentachoric omnihemate]]||Unknown||Kp5||20||80||90||30||None||Unknown | ||
+ | |- | ||
+ | |{{FLD2|dim=4|left=erev|a4|line2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a3tbar|tline|a3tbar|tline2|a2tleft|end2}} | ||
+ | |[[Tesseric omnihemate]]||Unknown||Ke5||56||248||288||96||None||Unknown | ||
|- | |- | ||
|{{FLD2|dim=4|left=erev|a3tright2|tline2|a2tbarbright|tbline2|a3bbartleft2|bline|a3bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a2bleft|end2}} | |{{FLD2|dim=4|left=erev|a3tright2|tline2|a2tbarbright|tbline2|a3bbartleft2|bline|a3bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a2bleft|end2}} |
Revision as of 20:44, 1 November 2009
Cell layout | Name | Petrie order | SSC2 | Cells | Faces | Edges | Vertices | Alternation | Dual | ||||||||||||||||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Pentachoron | 5,0 | Kp1 | 5 | 10 | 10 | 5 | None | Self-dual | ||||||||||||||||||||||||||||||||||||||||
| Hexadecachoron | 8,0 | Ke8 | 16 | 32 | 24 | 8 | None | Tesseract | ||||||||||||||||||||||||||||||||||||||||
| Hexacosichoron | 30,30,30,30,0 | Ks8 | 600 | 1200 | 720 | 120 | None | Hecatonicosachoron | ||||||||||||||||||||||||||||||||||||||||
| Icositetrachoron | 12,12,0 | Kk1 | 24 | 96 | 96 | 24 | None | Self-dual | ||||||||||||||||||||||||||||||||||||||||
| Tesseract | 8,8,0 | Ke1 | 8 | 24 | 32 | 16 | Hexadecachoron | Hexadecachoron | ||||||||||||||||||||||||||||||||||||||||
| Hecatonicosachoron | 12 rings | Ks1 | 120 | 720 | 1200 | 600 | None | Hexacosichoron | ||||||||||||||||||||||||||||||||||||||||
| Pentachoric rectate | Unknown | Kp6 | 10 | 40 | 60 | 30 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Pentachoric hemicate | Unknown | Kp2 | 10 | 30 | 30 | 10 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Tesseric hemicate | Unknown | Ke2 | 24 | 88 | 96 | 32 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Pentachoric cantellate | Unknown | Kp9 | 30 | 70 | 60 | 20 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Pentachoric truncate | Unknown | Kp3 | 10 | 30 | 40 | 20 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Tesseric truncate | Unknown | Ke3 | 24 | 88 | 128 | 64 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Tesseric rectate | Unknown | Ke6 | 24 | 120 | 192 | 96 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Pentachoric omnitruncate | Unknown | Kp15 | 30 | 150 | 240 | 120 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Pentachoric omnihemate | Unknown | Kp5 | 20 | 80 | 90 | 30 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Tesseric omnihemate | Unknown | Ke5 | 56 | 248 | 288 | 96 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Pentachoric canticate | Unknown | Kp7 | 20 | 80 | 120 | 60 | None | Unknown | ||||||||||||||||||||||||||||||||||||||||
| Pentachoric runcicate | Unknown | Kp11 | 30 | 120 | 150 | 60 | None | Unknown |