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|a3tend|line2|a3tend|end2}} |
|[[Pentachoric rectate]]||Unknown||Kp6||10||40||60||30||None||Unknown | |[[Pentachoric rectate]]||Unknown||Kp6||10||40||60||30||None||Unknown | ||
|- | |- | ||
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|[[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| | + | |{{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 | ||
|- | |- | ||
|{{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|a3tright2|tline2|a2tbarbright|tbline2|a3bbartleft2|bline|a3bbar|bline2|a3bbar|bline|a3bbar|bline2|a2bleft|end2}} | ||
| + | |[[Pentachoric canticate]]||Unknown||Kp7||20||80||120||60||None||Unknown | ||
|} | |} | ||
Revision as of 16:31, 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 | ||||||||||||||||||||
| Pentachoric truncate | Unknown | Kp3 | 10 | 30 | 40 | 20 | None | Unknown | ||||||||||||||||||||
| Pentachoric omnihemate | Unknown | Kp5 | 20 | 80 | 90 | 30 | None | Unknown | ||||||||||||||||||||
| Pentachoric canticate | Unknown | Kp7 | 20 | 80 | 120 | 60 | None | Unknown |
