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'''Kelompok simetri bola hingga''' disebut juga kelompok titik dalam tiga dimensi. Terdapat lima kelas simetri fundamental yang memiliki domain fundamental segitiga: [[simetri dihedral]], [[siklik]], [[tetrahedral]], [[oktahedral]], dan [[ikosahedral]].
== Simetri konstitusional ==
{| class="wikitable"
|-
! [[Notasi Hermann–Mauguin|Intl]]
! [[Notasi Geometri Aljabar|Geo]]<br><ref>''The Crystallographic Space groups in Geometric algebra'', [[D. Hestenes]] and J. Holt, Journal of Mathematical Physics. 48, 023514 (2007) (22 pages) [[PDF]] [http://geocalc.clas.asu.edu/pdf/CrystalGA.pdf]</ref>
! [[Notasi Orbifold|Orb.]]
! [[Notasi Schönflies|Schön.]]
! [[John Horton Conway|Con.]]
! [[Notasi Coxeter|Cox.]]
! Ord.
! [[Domain dasar|Dom.<br>dasar]]
|- align=center
| 1
| {{overline|1}}
| 11
| C<SUB>1</SUB>
| C<SUB>1</SUB>
| ][<br>[ ]<sup>+</sup>
| 1
| [[Gambar:Sphere symmetry group c1.png|100px]]
|- align=center
| 2
| {{overline|2}}
| 22
| D<SUB>1</SUB><br>= C<SUB>2</SUB>
| D<SUB>2</SUB><br>= C<SUB>2</SUB>
| [2]<sup>+</sup>
| 2
| [[Gambar:Sphere symmetry group c2.png|100px]]
|- align=center
| {{overline|1}}
| {{overline|22}}
| ×
| C<SUB>i</SUB><br>= S<SUB>2</SUB>
| CC<SUB>2</SUB>
| [2<sup>+</sup>,2<sup>+</sup>]
| 2
| [[Gambar:Sphere symmetry group ci.png|100px]]
|- align=center
| {{overline|2}}<br>= m
| 1
| *
| C<SUB>s</SUB><br>= C<SUB>1v</SUB><br>= C<SUB>1h</SUB>
| ±C<SUB>1</SUB><br>= CD<SUB>2</SUB>
| [ ]
| 2
| [[Gambar:Sphere symmetry group cs.png|100px]]
|}
== Simetri siklik ==
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