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A uniform 5-polytope is a uniform polytope that exists in 5-dimensional Euclidean space. Using a Wythoff construction, the set of uniform 5-polytopes are enumerated below, grouped with the generation symmetry, although there are overlaps as different generators can create the same forms. Regulars and truncations The three regular 5-polytopes above create 2 families of uniform 5-polytopes. Using a naming scheme proposed by Norman Johnson, these are: {3,3,3,3} Family - There are 19 forms.

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rdfs:label
  • Uniform polyteron
rdfs:comment
  • A uniform 5-polytope is a uniform polytope that exists in 5-dimensional Euclidean space. Using a Wythoff construction, the set of uniform 5-polytopes are enumerated below, grouped with the generation symmetry, although there are overlaps as different generators can create the same forms. Regulars and truncations The three regular 5-polytopes above create 2 families of uniform 5-polytopes. Using a naming scheme proposed by Norman Johnson, these are: {3,3,3,3} Family - There are 19 forms.
dcterms:subject
abstract
  • A uniform 5-polytope is a uniform polytope that exists in 5-dimensional Euclidean space. Using a Wythoff construction, the set of uniform 5-polytopes are enumerated below, grouped with the generation symmetry, although there are overlaps as different generators can create the same forms. Regulars and truncations The three regular 5-polytopes above create 2 families of uniform 5-polytopes. Using a naming scheme proposed by Norman Johnson, these are: {3,3,3,3} Family - There are 19 forms. * {4,3,3,3} - 31 truncated forms 1. * t_0{4,3,3,3} regular penteract 2. * t_1{4,3,3,3} rectified penteract 3. * t_2{4,3,3,3} birectified penteract 4. * t_3{4,3,3,3} trirectified penteract 5. * t_4{4,3,3,3} quadrirectified penteract 6. * t_0,1{4,3,3,3} truncated penteract 7. * t_1,2{4,3,3,3} bitruncated penteract 8. * t_2,3{4,3,3,3} tritruncated penteract 9. * t_3,4{4,3,3,3} quadritruncated penteract 10. * t_0,2{4,3,3,3} cantellated penteract 11. * t_1,3{4,3,3,3} bicantellated penteract 12. * t_2,4{4,3,3,3} tricantellated penteract 13. * t_0,3{4,3,3,3} runcinated penteract 14. * t_1,4{4,3,3,3} biruncinated penteract 15. * t_0,4{4,3,3,3} stericated penteract 16. * t_0,1,2{4,3,3,3} cantitruncated penteract 17. * t_1,2,3{4,3,3,3} bicantitruncated penteract 18. * t_2,3,4{4,3,3,3} tricantitruncated penteract 19. * t_0,1,3{4,3,3,3} runcitruncated penteract 20. * t_1,2,4{4,3,3,3} biruncitruncated penteract 21. * t_0,2,3{4,3,3,3} runcicantellated penteract 22. * t_1,3,4{4,3,3,3} biruncicantellated penteract 23. * t_0,1,4{4,3,3,3} steritruncated penteract 24. * t_0,2,4{4,3,3,3} stericantellated penteract 25. * t_0,3,4{4,3,3,3} steriruncinated penteract 26. * t_0,1,2,3{4,3,3,3} runcicantitruncated penteract 27. * t_1,2,3,4{4,3,3,3} biruncicantitruncated penteract 28. * t_0,1,2,4{4,3,3,3} stericantitruncated penteract 29. * t_0,1,3,4{4,3,3,3} steriruncitruncated penteract 30. * t_0,2,3,4{4,3,3,3} steriruncicantellated penteract 31. * t_0,1,2,3,4{4,3,3,3} Omnitruncated penteract
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