{{{{{1}}}|{{{2}}}|
|dtT-name=Triakis tetrahedron|dtT-image=triakistetrahedron.jpg|dtT-image2=triakistetrahedron.jpg|dtT-image3=triakistetrahedron.gif|dtT-dimage=Truncated tetrahedron.png|dtT-netimage=Triakis tetrahedron net.svg|
|dtT-Cox=|dtT-conway=kT|
|dtT-V=8|dtT-E=18|dtT-F=12|dtT-Vdetail=4{3}+4{6}|dtT-chi=2|
|dtT-ffig=V3.6.6|dtT-ftype=isosceles triangle|dtT-fimage=DU02 facets.png
|dtT-group=Td, A3, [3,3], (*332)|
|dtT-rotgroup=T, [3,3]+, (332)|
|dtT-dual=Truncated tetrahedron|dtT-dihedral=129°31′16″
arccos(−7/11)|
|dtT-special=
|dtC-name=Triakis octahedron|dtC-image=triakisoctahedron.jpg|dtC-image2=triakisoctahedron.jpg|dtC-image3=triakisoctahedron.gif|dtC-dimage=Truncated hexahedron.png|dtC-netimage=triakisoctahedron_net.png|
|dtC-Cox=|dtC-conway=kO|
|dtC-V=14|dtC-E=36|dtC-F=24|dtC-Vdetail=8{3}+6{8}|dtC-chi=2|
|dtC-ffig=V3.8.8|dtC-ftype=isosceles triangle|dtC-fimage=DU09 facets.png
|dtC-group=Oh, B3, [4,3], (*432)|
|dtC-rotgroup=O, [4,3]+, (432)|
|dtC-dual=Truncated cube|dtC-dihedral=147°21′00″
arccos(−3 + 8√2/17)|
|dtC-special=
|dtO-name=Tetrakis hexahedron|dtO-image=tetrakishexahedron.jpg|dtO-image2=tetrakishexahedron.jpg|dtO-image3=tetrakishexahedron.gif|dtO-dimage=Truncated octahedron.png|dtO-netimage=Disdyakis 6 net.svg|
|dtO-Cox=
|dtO-conway=kC|
|dtO-V=14|dtO-E=36|dtO-F=24|dtO-Vdetail=6{4}+8{6}|dtO-chi=2|
|dtO-ffig=V4.6.6|dtO-ftype=isosceles triangle|dtO-fimage=DU08 facets.png
|dtO-group=Oh, B3, [4,3], (*432)|
|dtO-rotgroup=O, [4,3]+, (432)|
|dtO-dual=Truncated octahedron|dtO-dihedral=143°07′48″
arccos(−4/5)|
|dtO-special=
|dtD-name=Triakis icosahedron|dtD-image=triakisicosahedron.jpg|dtD-image2=triakisicosahedron.jpg|dtD-image3=triakisicosahedron.gif|dtD-dimage=Truncated dodecahedron.png|dtD-netimage=triakisicosahedron_net.png|
|dtD-Cox=|dtD-conway=kI|
|dtD-V=32|dtD-E=90|dtD-F=60|dtD-Vdetail=20{3}+12{10}|dtD-chi=2|
|dtD-ffig=V3.10.10|dtD-ftype=isosceles triangle|dtD-fimage=DU26 facets.png
|dtD-group=Ih, H3, [5,3], (*532)|
|dtD-rotgroup=I, [5,3]+, (532)|
|dtD-dual=Truncated dodecahedron|dtD-dihedral=160°36′45″
arccos(−24 + 15√5/61)|
|dtD-special=
|dtI-name=Pentakis dodecahedron|dtI-image=pentakisdodecahedron.jpg|dtI-image2=pentakisdodecahedron.jpg|dtI-image3=pentakisdodecahedron.gif|dtI-dimage=Truncated icosahedron.png|dtI-netimage=pentakisdodecahedron_net.png|
|dtI-Cox=|dtI-conway=kD|
|dtI-V=32|dtI-E=90|dtI-F=60|dtI-Vdetail=20{6}+12{5}|dtI-chi=2|
|dtI-ffig=V5.6.6|dtI-ftype=isosceles triangle|dtI-fimage=DU25 facets.png
|dtI-group=Ih, H3, [5,3], (*532)|
|dtI-rotgroup=I, [5,3]+, (532)|
|dtI-dual=Truncated icosahedron|dtI-dihedral=156°43′07″
arccos(−80 + 9√5/109)|
|dtI-special=
|dCO-name=Rhombic dodecahedron|dCO-image=rhombicdodecahedron.jpg|dCO-image2=rhombicdodecahedron.jpg|dCO-image3=rhombicdodecahedron.gif|dCO-dimage=cuboctahedron.png|dCO-netimage=rhombicdodecahedron_net.svg|
|dCO-Cox=
|dCO-conway=jC|
|dCO-V=14|dCO-E=24|dCO-F=12|dCO-Vdetail=8{3}+6{4}|dCO-chi=2|
|dCO-ffig=V3.4.3.4|dCO-ftype=rhombus|dCO-fimage=DU07 facets.png
|dCO-group=Oh, B3, [4,3], (*432)|
|dCO-rotgroup=O, [4,3]+, (432)|
|dCO-dual=Cuboctahedron|dCO-dihedral=120°|
|dCO-special=isohedral, isotoxal, parallelohedron
|dID-name=Rhombic triacontahedron|dID-image=rhombictriacontahedron.png|dID-image2=rhombictriacontahedron.svg|dID-image3=rhombictriacontahedron.gif|dID-dimage=icosidodecahedron.svg|dID-netimage=rhombictriacontahedron net.svg| |dID-Cox=|dID-conway=jD| |dID-V=32|dID-E=60|dID-F=30|dID-Vdetail=20{3}+12{5}|dID-chi=2| |dID-ffig=V3.5.3.5|dID-ftype=rhombus|dID-fimage=DU24 facets.png |dID-group=Ih, H3, [5,3], (*532)| |dID-rotgroup=I, [5,3]+, (532)| |dID-dual=Icosidodecahedron|dID-dihedral=144°| |dID-special=isohedral, isotoxal, zonohedron
|dSD-name=Pentagonal hexecontahedron|dSD-image=Pentagonalhexecontahedron.jpg|dSD-image2=Pentagonalhexecontahedron.jpg|dSD-image3=Pentagonalhexecontahedronccw.gif|dSD-dimage=Snub_dodecahedron_ccw.png|dSD-netimage=Pentagonalhexecontahedron net.png|
|dSD-Cox=|dSD-conway=gD|
|dSD-V=92|dSD-E=150|dSD-F=60|dSD-Vdetail=12 {5}
20+60 {3}|dSD-chi=2|
|dSD-ffig=V3.3.3.3.5|dSD-ftype=irregular pentagon|dSD-fimage=DU29 facets.png
|dSD-group=I, 1/2H3, [5,3]+, (532)|
|dSD-rotgroup=I, [5,3]+, (532)|
|dSD-dual=Snub dodecahedron|dSD-dihedral=153°10′43″|
|dSD-special=chiral
}}
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