List of polychora by facet layout (Meta, 12)

From Hi.gher. Space

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{|style='width:100%;'
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<[#ontology [kind meta] [cats 4D Polytope Facet_Layout_Diagram]]>
-
!style='width:8%;'|[[Cell layout]]
+
{|class='shapelist' style='width:100%;'
-
!style='width:16%;'|Name
+
!colspan='3'|Parent
-
!style='width:8%;'|[[Petrie order]]
+
!colspan='4' class='key'|Elements
 +
!colspan='3'|Dual
 +
|-
 +
!style='width:10%;'|[[Facet layout]]
 +
!style='width:20%;'|Name
!style='width:8%;'|[[SSC2]]
!style='width:8%;'|[[SSC2]]
-
!style='width:6%;'|Cells
+
!style='width:6%;' class='key'|Cells
-
!style='width:6%;'|Faces
+
!style='width:6%;' class='key'|Faces
-
!style='width:6%;'|Edges
+
!style='width:6%;' class='key'|Edges
-
!style='width:6%;'|Vertices
+
!style='width:6%;' class='key'|Vertices
-
!style='width:16%;'|Alternation
+
!style='width:10%;'|Facet layout
-
!style='width:16%;'|Dual
+
!style='width:20%;'|Name
 +
!style='width:8%;'|SSC2
|-
|-
 +
|class='cat' colspan='10'|
 +
|- class='row1'
|{{FLD|dim=4|left=e3|erev|a3|end2|e3}}
|{{FLD|dim=4|left=e3|erev|a3|end2|e3}}
-
|[[Pentachoron]]||5,0||Kp1||5||10||10||5||None||Self-dual
+
|[[Pyrochoron]]||Kp1
-
|-
+
|5||10||10||5
-
|{{FLD|dim=4|left=e4|erev|a3|end2|e3}}
+
|colspan='3'|''Self-dual''
-
|[[Hexadecachoron]]||8,0||Ke8||16||32||24||8||None||[[Tesseract]]
+
|- class='row2'
-
|-
+
-
|{{FLD|dim=4|left=e5|erev|a3|end2|e3}}
+
-
|[[Hexacosichoron]]||30,30,30,30,0||Ks8||600||1200||720||120||None||[[Hecatonicosachoron]]
+
-
|-
+
|{{FLD|dim=4|left=e3|erev|a3|end2|e4}}
|{{FLD|dim=4|left=e3|erev|a3|end2|e4}}
-
|[[Icositetrachoron]]||12,12,0||Kk1||24||96||96||24||None||Self-dual
+
|[[Xylochoron]]||Kk1
-
|-
+
|24||96||96||24
 +
|colspan='3'|''Self-dual''
 +
|- class='row1'
|{{FLD|dim=4|left=e3|erev|a4|end2|e3}}
|{{FLD|dim=4|left=e3|erev|a4|end2|e3}}
-
|[[Tesseract]]||8,8,0||Ke1||8||24||32||16||[[Hexadecachoron]]||[[Hexadecachoron]]
+
|[[Geochoron]]||Ke1
-
|-
+
|8||24||32||16
 +
|{{FLD|dim=4|left=e4|erev|a3|end2|e3}}
 +
|[[Aerochoron]]||Ke8
 +
|- class='row2'
|{{FLD|dim=4|left=e3|erev|a5|end2|e3}}
|{{FLD|dim=4|left=e3|erev|a5|end2|e3}}
-
|[[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]]
+
|[[Cosmochoron]]||Ks1
-
|-
+
|120||720||1200||600
 +
|{{FLD|dim=4|left=e5|erev|a3|end2|e3}}
 +
|[[Hydrochoron]]||Ks8
 +
|- class='row1'
|{{FLD|dim=4|left=erev|a3|line2|a3tend|end2}}
|{{FLD|dim=4|left=erev|a3|line2|a3tend|end2}}
-
|[[Pentachoric rectate]]||Unknown||Kp6||10||40||60||30||None||Unknown
+
|[[Pyromesochoron]]||Kp6
-
|-
+
|10||40||60||30
-
|{{FLD|dim=4|left=erev|a4|line2|a3tend|end2}}
+
|colspan='3'|''Unknown''
-
|[[Icositetrachoric rectate]]||Unknown||Kp6||48||336||576||288||None||Unknown
+
|- class='row2'
-
|-
+
|{{FLD|dim=4|left=erev|a3|line2|a4tend|end2}}
 +
|[[Xylomesochoron]]||Kk6
 +
|48||336||576||288
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{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
+
|[[Pyrorectichoron]]||Kp2
-
|-
+
|10||30||30||10
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a4|end}}
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a4|end}}
-
|[[Tesseric hemicate]]||Unknown||Ke2||24||88||96||32||None||Unknown
+
|[[Georectichoron]]||Ke2
-
|-
+
|24||88||96||32
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a5|end}}
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a5|end}}
-
|[[Hecatonicosachoric hemicate]]||Unknown||Ks2||720||3120||3600||1200||None||Unknown
+
|[[Cosmorectichoron]]||Ks2
-
|-
+
|720||3120||3600||1200
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD|dim=4|left=e3|erev2|a4|line|a4|line2|a3|end}}
|{{FLD|dim=4|left=e3|erev2|a4|line|a4|line2|a3|end}}
-
|[[Icositetrachoric hemicate]]||Unknown||Kk2||48||240||288||96||None||Unknown
+
|[[Xylorectichoron]]||Kk2
-
|-
+
|48||240||288||96
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a2tend2|end|e3}}
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a2tend2|end|e3}}
-
|[[Tetrahedral prism]]||Unknown||+Kt1||6||15||16||8||None||Unknown
+
|[[Tetrahedral prism]]||+Kt1
-
|-
+
|6||15||16||8
-
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a2tend2|end|e4}}
+
|colspan='3'|''Unknown''
-
|[[Pentachoric cantellate]]||Unknown||Kp9||30||70||60||20||None||Unknown
+
|- class='row2'
-
|-
+
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a2tend2|end|e6}}
 +
|[[Pyroperichoron]]||Kp9
 +
|30||70||60||20
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD|dim=4|left=e4|erev2|a3|line|a3|line2|a2tend2|end|e4}}
|{{FLD|dim=4|left=e4|erev2|a3|line|a3|line2|a2tend2|end|e4}}
-
|[[Octahedral prism]]||Unknown||+Ko4||10||28||30||12||None||Unknown
+
|[[Octahedral prism]]||+Ko4
-
|-
+
|10||28||30||12
-
|{{FLD|dim=4|left=e4|erev2|a3|line|a3|line2|a2tend2|end|e6}}
+
|colspan='3'|''Unknown''
-
|[[Icositetrachoric cantellate]]||Unknown||Kk9||240||672||576||144||None||Unknown
+
|- class='row2'
-
|-
+
|{{FLD|dim=4|left=e4|erev2|a3|line|a3|line2|a2tend2|end|e8}}
 +
|[[Xyloperichoron]]||Kk9
 +
|240||672||576||144
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD|dim=4|left=e5|erev2|a3|line|a3|line2|a2tend2|end|e5}}
|{{FLD|dim=4|left=e5|erev2|a3|line|a3|line2|a2tend2|end|e5}}
-
|[[Icosahedral prism]]||Unknown||+Ki4||22||70||72||24||None||Unknown
+
|[[Icosahedral prism]]||+Ki4
-
|-
+
|22||70||72||24
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD|dim=4|left=e3|erev2|a5|line|a5|line2|a2tend2|end|e3}}
|{{FLD|dim=4|left=e3|erev2|a5|line|a5|line2|a2tend2|end|e3}}
-
|[[Dodecahedral prism]]||Unknown||+Ki1||14||54||80||40||None||Unknown
+
|[[Dodecahedral prism]]||+Ki1
-
|-
+
|14||54||80||40
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{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
+
|[[Pyrotomochoron]]||Kp3
-
|-
+
|10||30||40||20
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD|dim=4|left=e4|erev2|a3|line|a3|line2|a3tend|end2}}
|{{FLD|dim=4|left=e4|erev2|a3|line|a3|line2|a3tend|end2}}
-
|[[Hexadecachoric truncate]]||Unknown||Ke12||24||96||120||48||None||Unknown
+
|[[Aerotomochoron]]||Ke12
-
|-
+
|24||96||120||48
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD|dim=4|left=e5|erev2|a3|line|a3|line2|a3tend|end2}}
|{{FLD|dim=4|left=e5|erev2|a3|line|a3|line2|a3tend|end2}}
-
|[[Hexacosichoric truncate]]||Unknown||Ks12||720||3600||4320||1440||None||Unknown
+
|[[Hydrotomochoron]]||Ks12
-
|-
+
|720||3600||4320||1440
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a4tend|end2}}
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a4tend|end2}}
-
|[[Tesseric truncate]]||Unknown||Ke3||24||88||128||64||None||Unknown
+
|[[Geotomochoron]]||Ke3
-
|-
+
|24||88||128||64
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a5tend|end2}}
|{{FLD|dim=4|left=e3|erev2|a3|line|a3|line2|a5tend|end2}}
-
|[[Hecatonicosachoric truncate]]||Unknown||Ks3||720||3120||4800||2400||None||Unknown
+
|[[Cosmotomochoron]]||Ks3
-
|-
+
|720||3120||4800||2400
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD|dim=4|left=e3|erev2|a4|line|a4|line2|a3tend|end2}}
|{{FLD|dim=4|left=e3|erev2|a4|line|a4|line2|a3tend|end2}}
-
|[[Icositetrachoric truncate]]||Unknown||Kk3||48||240||384||192||[[Icositetrachoric snub]]||Unknown
+
|[[Xylotomochoron]]||Kk3
-
|-
+
|48||240||384||192
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD|dim=4|left=erev|a3|line2|a2tend2|line|a2tend2|line2|a5|end}}
|{{FLD|dim=4|left=erev|a3|line2|a2tend2|line|a2tend2|line2|a5|end}}
-
|3,5-[[duoprism]]||Unknown||G3xG5||8||23||30||15||None||Unknown
+
|3,5-[[duoprism]]||G3xG5
-
|-
+
|8||23||30||15
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD|dim=4|left=erev|a4|line2|a3tend2|line|a3tend2|line2|a3|end}}
|{{FLD|dim=4|left=erev|a4|line2|a3tend2|line|a3tend2|line2|a3|end}}
-
|[[Tesseric rectate]]||Unknown||Ke6||24||120||192||96||None||Unknown
+
|[[Stauromesochoron]]||Ke6
-
|-
+
|24||120||192||96
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD|dim=4|left=erev|a5|line2|a3tend2|line|a3tend2|line2|a3|end}}
|{{FLD|dim=4|left=erev|a5|line2|a3tend2|line|a3tend2|line2|a3|end}}
-
|[[Hecatonicosachoric rectate]]||Unknown||Ks6||720||4320||7200||3600||None||Unknown
+
|[[Rhodomesochoron]]||Ks6
-
|-
+
|720||4320||7200||3600
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
 +
|{{FLD|dim=4|left=erev2|a3tend|line2|a2bvert|line2|a3bvert|end2}}{{FLD|dim=4|left=space|erev2|a2tvert|line2|a3tvert|line2|a2bend|end2}}
 +
|[[Pyropantochoron]]||Kp15
 +
|30||150||240||120
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
 +
|{{FLD|dim=4|left=erev|a4tright2|tline2|a2tbarbvert|tline2|a3bverttleft2|cright}}{{FLD|dim=4|left=space|erev2|a2tvert|line2|a3tvert|line2|a2bend|end2}}
 +
|[[Xylopantochoron]]||Kk15
 +
|240||1392||2304||1152
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|left=erev2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a4tbar|tline|a4tbar|tline2|a2tleft|end2}}
|{{FLD2|dim=4|left=erev2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a4tbar|tline|a4tbar|tline2|a2tleft|end2}}
-
|[[Cuboctahedral prism]]||Unknown||+Ko2||16||52||60||24||None||Unknown
+
|[[Stauromesohedral prism]]||+Ko2
-
|-
+
|16||52||60||24
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|left=erev2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a5tbar|tline|a5tbar|tline2|a2tleft|end2}}
|{{FLD2|dim=4|left=erev2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a5tbar|tline|a5tbar|tline2|a2tleft|end2}}
-
|[[Icosidodecahedral prism]]||Unknown||+Ki2||34||124||150||60||None||Unknown
+
|[[Rhodomesohedral prism]]||+Ki2
-
|-
+
|34||124||150||60
-
|{{FLD|dim=4|left=erev2|a3tend|line2|a2bvert|line2|a3bvert|end2}}{{FLD|dim=4|left=space|erev2|a2tvert|line2|a3tvert|line2|a2bend|end2}}
+
|colspan='3'|''Unknown''
-
|[[Pentachoric omnitruncate]]||Unknown||Kp15||30||150||240||120||None||Unknown
+
|- class='row2'
-
|-
+
|{{FLD2|dim=4|left=erev2|abright2tend|bline2|ableft2tend2|line|abright2tend2|bline2|ableft2tright|end2tbar|clefttbar|a5tbarbend|tline2|atleftbend2|end2|e10}}
-
|{{FLD|dim=4|left=erev|a4tright2|tline2|a2tbarbvert|tline2|a3bverttleft2|cright}}{{FLD|dim=4|left=space|erev2|a2tvert|line2|a3tvert|line2|a2bend|end2}}
+
|[[Grand antiprism]]||''Unknown''
-
|[[Icositetrachoric omnitruncate]]||Unknown||Kk15||240||1392||2304||1152||None||Unknown
+
|320||720||500||100
-
|-
+
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{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
+
|[[Pyrocantichoron]]||Kp5
-
|-
+
|20||80||90||30
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|left=erev|a3|line2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a5tbar|tline|a5tbar|tline2|a2tleft|end2}}
|{{FLD2|dim=4|left=erev|a3|line2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a5tbar|tline|a5tbar|tline2|a2tleft|end2}}
-
|[[Hexacosichoric omnihemate]]||Unknown||Ks10||1440||8640||10800||3600||None||Unknown
+
|[[Hydrocantichoron]]||Ks10
-
|-
+
|1440||8640||10800||3600
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|left=erev|a3|line2|a2tright|tline2|a4tbar|tline|a4tbar|tline2|a3tbar|tline|a3tbar|tline2|a2tleft|end2}}
|{{FLD2|dim=4|left=erev|a3|line2|a2tright|tline2|a4tbar|tline|a4tbar|tline2|a3tbar|tline|a3tbar|tline2|a2tleft|end2}}
-
|[[Icositetrachoric omnihemate]]||Unknown||Ke5||56||248||288||96||None||Unknown
+
|[[Xylocantichoron]]||Kk5
-
|-
+
|144||720||864||288
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|left=erev|a4|line2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a3tbar|tline|a3tbar|tline2|a2tleft|end2}}
|{{FLD2|dim=4|left=erev|a4|line2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a3tbar|tline|a3tbar|tline2|a2tleft|end2}}
-
|[[Tesseric omnihemate]]||Unknown||Kk5||144||720||864||288||None||Unknown
+
|[[Geocantichoron]]||Ke5
-
|-
+
|56||248||288||96
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|left=erev|a5|line2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a3tbar|tline|a3tbar|tline2|a2tleft|end2}}
|{{FLD2|dim=4|left=erev|a5|line2|a2tright|tline2|a3tbar|tline|a3tbar|tline2|a3tbar|tline|a3tbar|tline2|a2tleft|end2}}
-
|[[Hecatonicosachoric omnihemate]]||Unknown||Ks5||1920||9120||10800||3600||None||Unknown
+
|[[Cosmocantichoron]]||Ks5
-
|-
+
|1920||9120||10800||3600
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|left=erev2|a2tend|line2|a3bright|bline2|a2bbartend2|bline|a2bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a3bleft|end2}}
|{{FLD2|dim=4|left=erev2|a2tend|line2|a3bright|bline2|a2bbartend2|bline|a2bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a3bleft|end2}}
-
|[[Tetrahedral truncate prism]]||Unknown||+Kt3||10||34||48||24||None||Unknown
+
|[[Pyrotomohedral prism]]||+Kt3
-
|-
+
|10||34||48||24
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{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}}
-
|[[Pentachoric canticate]]||Unknown||Kp7||20||80||120||60||None||Unknown
+
|[[Pyrocantitomochoron]]||Kp7
-
|-
+
|20||80||120||60
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|left=erev|a3tright2|tline2|a2tbarbright|tbline2|a3bbartleft2|bline|a3bbartend2|bline2|a5bbar|bline|a5bbar|bline2|a2bleft|end2}}
|{{FLD2|dim=4|left=erev|a3tright2|tline2|a2tbarbright|tbline2|a3bbartleft2|bline|a3bbartend2|bline2|a5bbar|bline|a5bbar|bline2|a2bleft|end2}}
-
|[[Hexacosichoric canticate]]||Unknown||Ks14||1440||8640||14400||7200||None||Unknown
+
|[[Hydrocantitomochoron]]||Ks14
-
|-
+
|1440||8640||14400||7200
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|left=erev|a3tright2|tline2|a2tbarbright|tbline2|a4bbartleft2|bline|a4bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a2bleft|end2}}
|{{FLD2|dim=4|left=erev|a3tright2|tline2|a2tbarbright|tbline2|a4bbartleft2|bline|a4bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a2bleft|end2}}
-
|[[Icositetrachoric canticate]]||Unknown||Kk7||144||720||1152||576||None||Unknown
+
|[[Xylocantitomochoron]]||Kk7
-
|-
+
|144||720||1152||576
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|left=erev|a4tright2|tline2|a2tbarbright|tbline2|a3bbartleft2|bline|a3bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a2bleft|end2}}
|{{FLD2|dim=4|left=erev|a4tright2|tline2|a2tbarbright|tbline2|a3bbartleft2|bline|a3bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a2bleft|end2}}
-
|[[Tesseric canticate]]||Unknown||Ke7||56||248||384||192||None||Unknown
+
|[[Geocantitomochoron]]||Ke7
-
|-
+
|56||248||384||192
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|left=erev|a5tright2|tline2|a2tbarbright|tbline2|a3bbartleft2|bline|a3bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a2bleft|end2}}
|{{FLD2|dim=4|left=erev|a5tright2|tline2|a2tbarbright|tbline2|a3bbartleft2|bline|a3bbartend2|bline2|a3bbar|bline|a3bbar|bline2|a2bleft|end2}}
-
|[[Hecatonicosachoric canticate]]||Unknown||Ks7||1920||9120||14400||7200||None||Unknown
+
|[[Cosmocantitomochoron]]||Ks7
-
|-
+
|1920||9120||14400||7200
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|left=e3|erev2|a4|line|a4|line2|a2tend2|line|a2tend2|line2|a3|line|a3|end2|e3}}
|{{FLD2|dim=4|left=e3|erev2|a4|line|a4|line2|a2tend2|line|a2tend2|line2|a3|line|a3|end2|e3}}
-
|[[Tesseric cantellate]]||Unknown||Ke9||80||208||192||64||None||Unknown
+
|[[Stauroperichoron]]||Ke9
-
|-
+
|80||208||192||64
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|left=e3|erev2|a5|line|a5|line2|a2tend2|line|a2tend2|line2|a3|line|a3|end2|e3}}
|{{FLD2|dim=4|left=e3|erev2|a5|line|a5|line2|a2tend2|line|a2tend2|line2|a3|line|a3|end2|e3}}
-
|[[Hecatonicosachoric cantellate]]||Unknown||Ks9||2640||7440||7200||2400||None||Unknown
+
|[[Rhodoperichoron]]||Ks9
-
|-
+
|2640||7440||7200||2400
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a3sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a3tvert2|line|a3|line2|a2bend2|line|a2bend2|a3sp01|cright}}
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a3sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a3tvert2|line|a3|line2|a2bend2|line|a2bend2|a3sp01|cright}}
-
|[[Pentachoric runcicate]]||Unknown||Kp11||30||120||150||60||None||Unknown
+
|[[Pyroruncitomochoron]]||Kp11
-
|-
+
|30||120||150||60
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a3sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a4tvert2|line|a4|line2|a2bend2|line|a2bend2|a3sp01|cright}}
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a3sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a4tvert2|line|a4|line2|a2bend2|line|a2bend2|a3sp01|cright}}
-
|[[Hexadecachoric runcicate]]||Unknown||Ke13||80||368||480||192||None||Unknown
+
|[[Aeroruncitomochoron]]||Ke13
-
|-
+
|80||368||480||192
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a3sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a5tvert2|line|a5|line2|a2bend2|line|a2bend2|a3sp01|cright}}
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a3sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a5tvert2|line|a5|line2|a2bend2|line|a2bend2|a3sp01|cright}}
-
|[[Hexacosichoric runcicate]]||Unknown||Ks13||2640||13440||18000||7200||None||Unknown
+
|[[Hydroruncitomochoron]]||Ks13
-
|-
+
|2640||13440||18000||7200
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|a2bvert2tright|tline2|a4tbar|tline|a4tbar|tline2|a3sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a3tvert2|line|a3|line2|a2bend2|line|a2bend2|a3sp01|cright}}
|{{FLD2|dim=4|a2bvert2tright|tline2|a4tbar|tline|a4tbar|tline2|a3sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a3tvert2|line|a3|line2|a2bend2|line|a2bend2|a3sp01|cright}}
-
|[[Icositetrachoric runcicate]]||Unknown||Kk11||240||1104||1440||576||None||Unknown
+
|[[Xyloruncitomochoron]]||Kk11
-
|-
+
|240||1104||1440||576
 +
|colspan='3'|''Unknown''
 +
|- class='row2'
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a4sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a3tvert2|line|a3|line2|a2bend2|line|a2bend2|a4sp01|cright}}
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a4sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a3tvert2|line|a3|line2|a2bend2|line|a2bend2|a4sp01|cright}}
-
|[[Tesseric runcicate]]||Unknown||Ke11||80||368||480||192||None||Unknown
+
|[[Georuncitomochoron]]||Ke11
-
|-
+
|80||368||480||192
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a5sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a3tvert2|line|a3|line2|a2bend2|line|a2bend2|a5sp01|cright}}
|{{FLD2|dim=4|a2bvert2tright|tline2|a3tbar|tline|a3tbar|tline2|a5sp00|a2bvert2tleft|end2}}{{FLD2|dim=4|a3tvert2|line|a3|line2|a2bend2|line|a2bend2|a5sp01|cright}}
-
|[[Hecatonicosachoric runcicate]]||Unknown||Ks11||2640||13440||18000||7200||None||Unknown
+
|[[Cosmoruncitomochoron]]||Ks11
-
|-
+
|2640||13440||18000||7200
-
|{{FLD2|dim=4|left=slice|cleft|a3bvert2|line|a3|line2|abverttend2|line2|a4|line|a4bvert2|cright}}{{FLD2|dim=4|left=erev2|a2bverttvert2|cright|gap|line2bright|atvertbvert2|line2bleft|gap|cleft|a2bverttvert2|end2}}{{FLD2|dim=4|left=slice|linetright|sp00|linetleft}}
+
|colspan='3'|''Unknown''
-
|[[Cubic snub prism]]||Unknown||+Ko0||40||132||144||48||None||Unknown
+
|- class='row2'
-
|-
+
|{{FLD2|dim=4|left=slice|cl|a3bvert2|line|a3|line2|abverttend2|line2|a4|line|a4bvert2|cright}}{{FLD2|dim=4|left=erev2|a2bverttvert2|cright|gap|line2bright|atvertbvert2|line2bleft|gap|cl|a2bverttvert2|end2}}{{FLD2|dim=4|left=slice|linetright|sp00|linetleft}}
 +
|[[Cubic snub prism]]||+Ko0
 +
|40||132||144||48
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
|{{FLD2|dim=4|left=space|linelongbright|linelongright|a2tright2|tline2|a3tbarbvert|tline2|a4tleft2|linelongleft|linelongbleft}}{{FLD2|dim=4|a2brighttend2|bline2|a2bbartvert|bline2|a2bbartend2|bline|a2bbartend2|bline2|a3bbartvert|bline2|a2bbartend2|bline|a2bbartend2|bline|a4bbartvert|bline2|a2blefttend2|cright}}
|{{FLD2|dim=4|left=space|linelongbright|linelongright|a2tright2|tline2|a3tbarbvert|tline2|a4tleft2|linelongleft|linelongbleft}}{{FLD2|dim=4|a2brighttend2|bline2|a2bbartvert|bline2|a2bbartend2|bline|a2bbartend2|bline2|a3bbartvert|bline2|a2bbartend2|bline|a2bbartend2|bline|a4bbartvert|bline2|a2blefttend2|cright}}
-
|[[Cuboctahedral truncate prism]]||Unknown||+Ko7||28||124||192||96||None||Unknown
+
|[[Stauropantohedral prism]]||+Ko7
-
|-
+
|28||124||192||96
-
|{{FLD2|dim=4|left=erev2|a2bvert2|linelongleft|linelong|linelong|linelongright|a2bvert2|line2|a3bvert|end2}}{{FLD2|dim=4|left=slice|cleft|a4dblvert2|line|a4tright2|tline2|a2tbarbvert|tline2|a3tleft2|line|a3tvert2bend2|cright|gap|vert}}{{FLD2|dim=4|left=erev2|a2tvert2bright|bbarleft|erev2bbar|a2bbartvert|bline2|a3bbartright|tbline2|a2tbarbleft|end2tbar|tverttleft}}
+
|colspan='3'|''Unknown''
-
|[[Tesseric omnitruncate]]||Unknown||Ke15||80||464||768||384||None||Unknown
+
|- class='row2'
-
|-
+
|{{FLD2|dim=4|left=erev2|a2bvert2|linelongleft|linelong|linelong|linelongright|a2bvert2|line2|a3bvert|end2}}{{FLD2|dim=4|left=slice|cl|a4dblvert2|line|a4tright2|tline2|a2tbarbvert|tline2|a3tleft2|line|a3tvert2bend2|cright|gap|vert}}{{FLD2|dim=4|left=erev2|a2tvert2bright|bbarleft|erev2bbar|a2bbartvert|bline2|a3bbartright|tbline2|a2tbarbleft|end2tbar|tverttleft}}
-
|{{FLD2|dim=4|left=erev2|a2bvert2|linelongleft|linelong|linelong|linelongright|a2bvert2|line2|a3bvert|end2}}{{FLD2|dim=4|left=slice|cleft|a5dblvert2|line|a5tright2|tline2|a2tbarbvert|tline2|a3tleft2|line|a3tvert2bend2|cright|gap|vert}}{{FLD2|dim=4|left=erev2|a2tvert2bright|bbarleft|erev2bbar|a2bbartvert|bline2|a3bbartright|tbline2|a2tbarbleft|end2tbar|tverttleft}}
+
|[[Stauropantochoron]]||Ke15
-
|[[Hecatonicosachoric omnitruncate]]||Unknown||Ks15||2640||17040||28800||14400||None||Unknown
+
|80||464||768||384
 +
|colspan='3'|''Unknown''
 +
|- class='row1'
 +
|{{FLD2|dim=4|left=erev2|a2bvert2|linelongleft|linelong|linelong|linelongright|a2bvert2|line2|a3bvert|end2}}{{FLD2|dim=4|left=slice|cl|a5dblvert2|line|a5tright2|tline2|a2tbarbvert|tline2|a3tleft2|line|a3tvert2bend2|cright|gap|vert}}{{FLD2|dim=4|left=erev2|a2tvert2bright|bbarleft|erev2bbar|a2bbartvert|bline2|a3bbartright|tbline2|a2tbarbleft|end2tbar|tverttleft}}
 +
|[[Rhodopantochoron]]||Ks15
 +
|2640||17040||28800||14400
 +
|colspan='3'|''Unknown''
|}
|}

Latest revision as of 22:47, 12 March 2014

Parent Elements Dual
Facet layout Name SSC2 Cells Faces Edges Vertices Facet layout Name SSC2
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
PyrochoronKp1 510105 Self-dual
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
XylochoronKk1 24969624 Self-dual
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
GeochoronKe1 8243216
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
AerochoronKe8
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
CosmochoronKs1 1207201200600
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
HydrochoronKs8
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
PyromesochoronKp6 10406030 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
XylomesochoronKk6 48336576288 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
PyrorectichoronKp2 10303010 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
GeorectichoronKe2 24889632 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
CosmorectichoronKs2 720312036001200 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
XylorectichoronKk2 4824028896 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Tetrahedral prism+Kt1 615168 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
PyroperichoronKp9 30706020 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Octahedral prism+Ko4 10283012 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
XyloperichoronKk9 240672576144 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Icosahedral prism+Ki4 22707224 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Dodecahedral prism+Ki1 14548040 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
PyrotomochoronKp3 10304020 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
AerotomochoronKe12 249612048 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
HydrotomochoronKs12 720360043201440 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
GeotomochoronKe3 248812864 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
CosmotomochoronKs3 720312048002400 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
XylotomochoronKk3 48240384192 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
3,5-duoprismG3xG5 8233015 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
StauromesochoronKe6 2412019296 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
RhodomesochoronKs6 720432072003600 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
PyropantochoronKp15 30150240120 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
XylopantochoronKk15 240139223041152 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Stauromesohedral prism+Ko2 16526024 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Rhodomesohedral prism+Ki2 3412415060 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Grand antiprismUnknown 320720500100 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
PyrocantichoronKp5 20809030 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
HydrocantichoronKs10 14408640108003600 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
XylocantichoronKk5 144720864288 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
GeocantichoronKe5 5624828896 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
CosmocantichoronKs5 19209120108003600 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Pyrotomohedral prism+Kt3 10344824 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
PyrocantitomochoronKp7 208012060 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
HydrocantitomochoronKs14 14408640144007200 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
XylocantitomochoronKk7 1447201152576 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
GeocantitomochoronKe7 56248384192 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
CosmocantitomochoronKs7 19209120144007200 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
StauroperichoronKe9 8020819264 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
RhodoperichoronKs9 2640744072002400 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
PyroruncitomochoronKp11 3012015060 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
AeroruncitomochoronKe13 80368480192 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
HydroruncitomochoronKs13 264013440180007200 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
XyloruncitomochoronKk11 24011041440576 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
GeoruncitomochoronKe11 80368480192 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
CosmoruncitomochoronKs11 264013440180007200 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Cubic snub prism+Ko0 4013214448 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Stauropantohedral prism+Ko7 2812419296 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
StauropantochoronKe15 80464768384 Unknown
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
RhodopantochoronKs15 2640170402880014400 Unknown
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