Table of kanihedra (Meta, 11)

From Hi.gher. Space

(Difference between revisions)

Latest revision as of 22:44, 11 February 2014

This table shows the three-dimensional kanitopes arranged by their family and Dx number.

Forms enclosed in parentheses are non-canonical forms, which duplicate other cells of the table. In 3D, this only occurs in the tetrahedral family, due both to it being self-dual and to the tetrahedron being equivalent to the demicube.

Dx	Coxeter- Dynkin	Mirror group	Symmetry family
Dx	Coxeter- Dynkin	Mirror group	Pyrohedral	Staurohedral	Rhodohedral
1	xoo	Parent	x3o3o	x4o3o	x5o3o
2	oxo	Mesotope	(x3o4o)	o4x3o	o5x3o
3	xxo	Truncate	x3x3o	x4x3o	x5x3o
4	oox	Dual	(x3o3o)	x3o4o	x3o5o
5	xox	Peritope	(o4x3o)	x4o3x	x5o3x
6	oxx	(Truncate)	(x3x3o)	x3x4o	x3x5o
7	xxx	Pantome	(x3x4o)	x4x3x	x5x3x
0	ooo	Snub	(x3o5o)	s4s3s	s5s3s

@@ Line 1: / Line 1: @@
-This is a '''table of [[uniform polyhedra]]''' by their [[Kana mnemonic]].
+<[#ontology [kind meta] [cats 3D Uniform Polytope]]>
+This table shows the three-dimensional [[kanitope]]s arranged by their [[polytope family|family]] and [[Dx number]].
-{|
+Forms enclosed in parentheses are non-canonical forms, which duplicate other cells of the table. In 3D, this only occurs in the tetrahedral family, due both to it being [[self-dual]] and to the tetrahedron being equivalent to the [[Demihypercube|demicube]].
-|[[Dx]]||width="80"|1||width="80"|2||width="80"|3||width="80"|4||width="80"|5||width="80"|6||width="80"|7||width="80"|0
+{|cellpadding="2" cellspacing="1"
+!bgcolor="#E0E0E0" rowspan="2" width="10%"|[[Dx]]
+!bgcolor="#E0E0E0" rowspan="2" width="15%"|[[Coxeter-Dynkin|Coxeter-<br>Dynkin]]
+!bgcolor="#E0E0E0" rowspan="2" width="15%"|[[Mirror group]]
+!bgcolor="#E0E0E0" colspan="3" width="60%"|[[Symmetry family]]
 |-
-|Cox-Dyn||xoo||oxo||xxo||oox||xox||oxx||xxx||ooo
+!bgcolor="#E0E0E0"|Pyrohedral
+!bgcolor="#E0E0E0"|Staurohedral
+!bgcolor="#E0E0E0"|Rhodohedral
 |-
-|Group (standard)||Parent||Rectate||Truncate||Birectate||Cantellate||Bitruncate||Omnitruncate||Snub
+|width="80"|1||xoo||Parent||[[Tetrahedron|x3o3o]]||[[Cube|x4o3o]]||[[Dodecahedron|x5o3o]]
 |-
-|nowrap|Group (conventional)||Parent||Rectate||Truncate||Dual||Rect,rect||Dual,trunc||Rect,trunc||Snub
+|width="80"|2||oxo||[[Mesotope]]||[[Octahedron|''(x3o4o)'']]||[[Stauromesohedron|o4x3o]]||[[Rhodomesohedron|o5x3o]]
 |-
-|Form||-||*||-ﾄ -to||~||*ﾚ *re||~ﾄ ~to||*ﾄ *to||~ｽ ~su
+|width="80"|3||xxo||[[Truncate]]||[[Tetrahedral truncate|x3x3o]]||[[Cubic truncate|x4x3o]]||[[Dodecahedral truncate|x5x3o]]
 |-
-|Tetrahedral||[[ﾃ]] te||([[ｵｸ]] oku)||[[ﾃﾄ]] teto||([[ﾃ]] te)||([[ｺ]] ko)||([[ﾃﾄ]] teto)||([[ｵｸﾄ]] okuto)||([[ｲｺ]] iko)
+|width="80"|4||oox||[[Dual]]||[[Tetrahedron|(x3o3o)]]||[[Octahedron|x3o4o]]||[[Icosahedron|x3o5o]]
 |-
-|Octahedral||[[ｷｭ]] kyu||[[ｺ]] ko||[[ｷｭﾄ]] kyuto||[[ｵｸ]] oku||[[ｺﾚ]] kore||[[ｵｸﾄ]] okuto||[[ｺﾄ]] koto||[[ｷｭｽ]] kyusu
+|width="80"|5||xox||[[Peritope]]||[[Stauromesohedron|''(o4x3o)'']]||[[Stauroperihedron|x4o3x]]||[[Rhodoperihedron|x5o3x]]
 |-
-|Icosahedral||[[ﾄﾞ]] do||[[ｲﾄﾞ]] ido||[[ﾄﾞﾄ]] doto||[[ｲｺ]] iko||[[ﾄﾞﾚ]] dore||[[ｲｺﾄ]] ikoto||[[ｲﾄﾞﾄ]] idoto||[[ﾄﾞｽ]] dosu
+|width="80"|6||oxx||(Truncate)||[[Tetrahedral truncate|(x3x3o)]]||[[Octahedral truncate|x3x4o]]||[[Icosahedral truncate|x3x5o]]
+|-
+|width="80"|7||xxx||[[Pantome]]||[[Octahedral truncate|''(x3x4o)'']]||[[Stauropantohedron|x4x3x]]||[[Rhodopantohedron|x5x3x]]
+|-
+|width="80"|0||ooo||[[Snub]]||[[Icosahedron|''(x3o5o)'']]||[[Snub staurohedron|s4s3s]]||[[Snub rhodohedron|s5s3s]]
 |}
-Form syntax:
-* "-" means the parent mneumonic
-* "*" means the rectate mneumonic
-* "~" means the dual mneumonic
-[[Category:Uniform polyhedra|$]]