View source for HARP (algorithm)

{| class="wikitable"
|+ 
1<sub>3k</sub> dimensional figures
|-
!n 
![[Four-dimensional space|4]]
![[Five-dimensional space|5]]
![[Six-dimensional space|6]]
![[Seven-dimensional space|7]]
![[Eight-dimensional space|8]]
![[Nine-dimensional space|9]]
|- align=center
![[Coxeter group|Coxeter<BR>group]]
|A<sub>3</sub>×A<sub>1</sub>
|A<sub>5</sub>
|D<sub>6</sub>
|[[E7 (mathematics)|E<sub>7</sub>]]
|<math>{\tilde{E}}_{7}</math>=E<sub>7</sub><sup>+</sup>
|E<sub>7</sub><sup>++</sup>
|- align=center
![[Coxeter-Dynkin diagram|Coxeter<BR>diagram]]
|{{CDD|node|3|node|3|node|2|node_1}}
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01l}}
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01lr|3a|nodea}}
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01lr|3a|nodea|3a|nodea}}
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01lr|3a|nodea|3a|nodea|3a|nodea}}
|{{CDD|nodea|3a|nodea|3a|nodea|3a|branch_01lr|3a|nodea|3a|nodea|3a|nodea|3a|nodea}}
|- align=center
![[Coxeter notation|Symmetry]]<BR>(order)
|[3<sup>-1,3,1</sup>]<BR>(48)
|[3<sup>0,3,1</sup>]<BR>(720)
|[3<sup>1,3,1</sup>]<BR>(23,040)
|[3<sup>2,3,1</sup>]<BR>(2,903,040)
|[[3<sup>3,3,1</sup>]]<BR>(&infin;)
|[3<sup>4,3,1</sup>]<BR>(&infin;)
|- align=center
!Graph
|
|[[File:5-simplex t0.svg|80px]]
|[[File:Demihexeract ortho petrie.svg|80px]]
|[[File:Up2 1 32 t0 E7.svg|80px]]
|&infin;
|&infin;
|- align=center
!Name
|[[dihedron|1<sub>3,-1</sup>]]
|[[5-simplex|1<sub>30</sup>]]
|[[6-demicube|1<sub>31</sup>]]
|[[1 32 polytope|1<sub>32</sup>]]
|[[1 33 honeycomb|1<sub>33</sup>]]
|1<sub>34</sup>
|}