{{{{{1}}}|{{{2}}}|
|hix-name=5-simplex|
|hix-image=5-simplex t0.svg|
|hix-imagecap=A5 Coxeter plane projection
[6] symmetry
|hix-f0=6|hix-f1=15|hix-f2=20|hix-f3=15|hix-f4=6|
|hix-ff4=6 {3,3,3}
|hix-ff3=15 {3,3}
|hix-ff2=20 {3}
|hix-group=A5, [34], order 720
|hix-circum=0.645497|
|hix-bname=Hexateron|
|hix-bsa=hix
|hix-prop=regular, self-dual
|hix-schl={34}|
|hix-cd=
|
|hix-cdi=x3o3o3o3
|hix-vfig=5-cell|
|hix-imagevfig=5-simplex verf.png|
|hix-base=(0,0,0,0,0,1)
|hix-dual=self-dual
|rix-name=Rectified 5-simplex|
|rix-image=5-simplex t1.svg|
|rix-imagecap=A5 Coxeter plane projection
[6] symmetry
|rix-f0=15|rix-f1=60|rix-f2=80|rix-f3=45|rix-f4=12|
|rix-ff4=6 {3,3,3}
6 r{3,3,3}
|
|rix-ff3=15 {3,3}
30 r{3,3}
||
|rix-ff2=80 {3}|
|rix-group=A5, [34], order 720|
|rix-circum=0.645497|
|rix-bname=Rectified hexateron|
|rix-bsa=rix
|rix-prop=isotoxal|
|rix-schl=r{34} or |
|rix-cd=
or 
|rix-cdi=o3x3o3o3|
|rix-vfig={}×{3,3}|
|rix-imagevfig=Rectified 5-simplex verf.png|
|rix-base=(0,0,0,0,1,1)
|rix-dual=
|dot-name=Birectified 5-simplex|
|dot-image=5-simplex t2.svg|
|dot-imagecap=A5 Coxeter plane projection
[6] symmetry
|dot-f0=20|dot-f1=90|dot-f2=120|dot-f3=60|dot-f4=12|
|dot-ff4=12 r{3,3,3}|
|dot-ff3=30 {3,3}
30 r{3,3}|
|dot-ff2=120 {3}|
|dot-group=A5×2, [[34]], order 1440|
|dot-circum=0.866025|
|dot-bname=Birectified hexateron|
|dot-bsa=dot
|dot-prop=isotoxal|
|dot-schl=2r{34} = {32,2}
or |
|dot-cd=
or 
|dot-cdi=o3o3x3o3
|dot-vfig={3}×{3}|
|dot-imagevfig=Birectified hexateron verf.png|
|dot-base=(0,0,0,1,1,1)
|dot-dual=
|-name=|
|-image=5-simplex t0.svg|
|-imagecap=A5 Coxeter plane projection
[6] symmetry
|-f0= |-f1= |-f2= |-f3= |-f4=|
|-ff4=
|-ff3=
|-ff2=
|-group=A5, [34], order 720
|-circum= |
|-bname=|
|-bsa=
|-prop=regular
|-schl=t{34}|
|-cd=|
|-cdi=o3o3o3o3
|-vfig=|
|-imagevfig=5-simplex verf.png|
|-base=(0,0,0,0,0,1)
|-dual=
|pent-name=5-cube|
|pent-image=5-cube t0.svg|
|pent-imagecap=B5 Coxeter plane projection
[10] symmetry
|pent-f0=32 |pent-f1=80 |pent-f2=80 |pent-f3=40 |pent-f4=10|
|pent-ff4=tesseracts
|pent-ff3=cubes
|pent-ff2=squares
|pent-group=B5, [4,33], order 3840
|pent-circum=sqrt(5)/2 = 1.118034
|pent-bname=penteract
|pent-bsa=pent
|pent-prop=regular, Hanner polytope
|pent-schl={4,3,3,3}
|pent-cd=
|pent-cdi=x4o3o3o3
|pent-vfig=5-cell
|pent-imagevfig=5-cube verf.svg
|pent-base=(1,1,1,1,1,1)
|pent-dual=5-orthoplex
|rin-name=Rectified 5-cube|
|rin-image=5-cube t1.svg|
|rin-imagecap=B5 Coxeter plane projection
[10] symmetry
|rin-f0=80 |rin-f1=320 |rin-f2=400 |rin-f3=200 |rin-f4=42|
|rin-ff4=10 
32 
|rin-ff3=40 
160 
|rin-ff2=80 
320 
|rin-group=B5, [4,33], order 3840
|rin-circum=sqrt(2) = 1.414214 |
|rin-bname=rectified penteract|
|rin-bsa=rin|
|rin-prop=|
|rin-schl=r{4,3,3,3}|
|rin-cd= = 
|
|rin-cdi=o4x3o3o3o
|rin-vfig=Tetrahedral prism|
|rin-imagevfig=Rectified 5-cube verf.png|
|rin-base=(0,1,1,1,1,1)√2
|rin-dual=
|nit-name=Birectified 5-cube|
|nit-image=5-cube t2.svg|
|nit-imagecap=B5 Coxeter plane projection
[10] symmetry
|nit-f0=80 |nit-f1=480 |nit-f2=640 |nit-f3=280 |nit-f4=42|
|nit-ff4=10 
32 
|nit-ff3=40 
160 
80
|nit-ff2=320
320
|nit-group=B5, [4,33], order 3840
D5, [32,1,1], order 1920
|nit-circum=sqrt(3/2) = 1.224745 |
|nit-bname=birectified penteract|
|nit-bsa=nit|
|nit-prop=|
|nit-schl=2r{4,3,3,3}|
|nit-cd= = 
|
|nit-cdi=o4o3x3o3
|nit-vfig={3}×{4}|
|nit-imagevfig=Birectified penteract verf.png|
|nit-base=(0,0,1,1,1,1)√2
|nit-dual=
}}