View source for Template:Semireg polyhedra db

{{{{{1}}}|{{{2}}}|

|tT-name=Truncated tetrahedron|
|tT-image=Polyhedron truncated 4a max.png|
|tT-image2=Truncatedtetrahedron.jpg|
|tT-image3=Truncatedtetrahedron.gif|
|tT-dimage=Polyhedron truncated 4a dual max.png|
|tT-vfigimage=Polyhedron truncated 4a vertfig.svg|tT-netimage=Polyhedron truncated 4a net.svg|
|tT-vfig=3.6.6|
|tT-conway=tT|
|tT-Wythoff=2 3 &#124; 3|
|tT-W=6|tT-U=02|tT-K=07|tT-C=16|
|tT-V=12|tT-E=18|tT-F=8|tT-Fdetail=4{3}+4{6}|
|tT-chi=2
|tT-group=[[Tetrahedral symmetry|T<sub>d</sub>]], A<sub>3</sub>, [3,3], (*332), order 24|
|tT-rotgroup=[[Tetrahedral symmetry|T]], [3,3]<sup>+</sup>, (332), order 12|
|tT-B=Tut|tT-special=|tT-schl=t{3,3} = h<sub>2</sub>{4,3}|tT-schl2=t<sub>0,1</sub>{3,3}
|tT-dual=Triakis tetrahedron|
|tT-dihedral=3-6: 109°28′16′<BR>6-6: 70°31′44″|
|tT-CD={{Coxeter–Dynkin diagram|node_1|3|node_1|3|node}} = {{Coxeter–Dynkin diagram|node_h1|4|node|3|node_1}}

|tO-name=Truncated octahedron|
|tO-image=Polyhedron truncated 8 max.png|
|tO-image2=Truncatedoctahedron.jpg|
|tO-image3=Truncatedoctahedron.gif|
|tO-dimage=Polyhedron truncated 8 dual max.png|
|tO-vfigimage=Polyhedron truncated 8 vertfig.svg|tO-netimage=Polyhedron truncated 8 net.svg|
|tO-vfig=4.6.6|
|tO-conway=tO<BR>bT|
|tO-Wythoff=2 4 &#124; 3<BR>3 3 2 &#124;|
|tO-W=7|tO-U=08|tO-K=13|tO-C=20|
|tO-V=24|tO-E=36|tO-F=14|tO-Fdetail=6{4}+8{6}|
|tO-chi=2
|tO-group=[[Octahedral symmetry|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), order 48<BR>[[Tetrahedral symmetry|T<sub>h</sub>]], [3,3] and (*332), order 24|
|tO-rotgroup=[[Octahedral symmetry|O]], [4,3]<sup>+</sup>, (432), order 24|
|tO-B=Toe|
|tO-special=[[Parallelohedron|parallelohedron]]<BR>[[Permutohedron|permutohedron]]<br>[[Zonohedron|zonohedron]]|
|tO-schl=t{3,4}<BR>tr{3,3} or <math>t\begin{Bmatrix} 3 \\ 3 \end{Bmatrix}</math>|tO-schl2=t<sub>0,1</sub>{3,4} or t<sub>0,1,2</sub>{3,3}|
|tO-dual=Tetrakis hexahedron|
|tO-dihedral=4-6: arccos(−{{sfrac|1|{{radic|3}}}}) = 125°15′51″<BR>6-6: arccos(−{{Sfrac|1|3}}) = 109°28′16″|
|tO-CD={{Coxeter–Dynkin diagram|node|4|node_1|3|node_1}}<BR>{{Coxeter–Dynkin diagram|node_1|3|node_1|3|node_1}}

|tC-name=Truncated cube|
|tC-altname1=Truncated hexahedron|
|tC-image=Polyhedron truncated 6 max.png|
|tC-image2=Truncatedhexahedron.jpg|
|tC-image3=Truncatedhexahedron.gif|
|tC-dimage=Polyhedron truncated 6 dual.png|
|tC-vfigimage=Polyhedron truncated 6 vertfig.svg|tC-netimage=Polyhedron truncated 6 net.svg|
|tC-vfig=3.8.8|
|tC-conway=tC|
|tC-Wythoff=2 3 &#124; 4|
|tC-W=8|tC-U=09|tC-K=14|tC-C=21|
|tC-V=24|tC-E=36|tC-F=14|tC-Fdetail=8{3}+6{8}|
|tC-chi=2
|tC-group=[[Octahedral symmetry|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), order 48|
|tC-rotgroup=[[Octahedral symmetry|O]], [4,3]<sup>+</sup>, (432), order 24|
|tC-B=Tic|
|tC-dual=Triakis octahedron|tC-schl=t{4,3}|tC-schl2=t<sub>0,1</sub>{4,3}|
|tC-dihedral=3-8: 125°15′51″<BR>8-8: 90°|
|tC-special=|
|tC-CD={{Coxeter–Dynkin diagram|node_1|4|node_1|3|node}}

|tI-name=Truncated icosahedron|
|tI-image=Polyhedron truncated 20 max.png|
|tI-image2=Truncatedicosahedron.jpg|
|tI-image3=Truncatedicosahedron.gif|
|tI-dimage=Polyhedron truncated 20 dual max.png|
|tI-vfigimage=Polyhedron truncated 20 vertfig.svg|tI-netimage=Polyhedron truncated 20 net.svg|
|tI-vfig=5.6.6|
|tI-conway=tI|
|tI-Wythoff=2 5 &#124; 3|
|tI-W=9|tI-U=25|tI-K=30|tI-C=27|
|tI-V=60|tI-E=90|tI-F=32|tI-Fdetail=12{5}+20{6}|
|tI-chi=2
|tI-group=[[Icosahedral symmetry|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), order 120|
|tI-rotgroup=[[Icosahedral symmetry|I]], [5,3]<sup>+</sup>, (532), order 60|
|tI-B=Ti|
|tI-dual=Pentakis dodecahedron|tI-schl=t{3,5}|tI-schl2=t<sub>0,1</sub>{3,5}|
|tI-dihedral=6-6: 138.189685°<BR>6-5: 142.62°
|tI-special=|
|tI-CD={{Coxeter–Dynkin diagram|node|5|node_1|3|node_1}}

|tD-name=Truncated dodecahedron|
|tD-image=Polyhedron truncated 12 max.png|
|tD-image2=Truncateddodecahedron.jpg|
|tD-image3=Truncateddodecahedron.gif|
|tD-dimage=Polyhedron truncated 12 dual max.png|
|tD-vfigimage=Polyhedron truncated 12 vertfig.svg|tD-netimage=Polyhedron truncated 12 net.svg|
|tD-vfig=3.10.10|
|tD-conway=tD|
|tD-Wythoff=2 3 &#124; 5|
|tD-W=10|tD-U=26|tD-K=31|tD-C=29|
|tD-V=60|tD-E=90|tD-F=32|tD-Fdetail=20{3}+12{10}|
|tD-chi=2
|tD-group=[[Icosahedral symmetry|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), order 120|
|tD-rotgroup=[[Icosahedral symmetry|I]], [5,3]<sup>+</sup>, (532), order 60|
|tD-B=Tid|
|tD-dual=Triakis icosahedron|tD-schl=t{5,3}|tD-schl2=t<sub>0,1</sub>{5,3}|
|tD-dihedral=10-10: 116.57°<BR>3-10: 142.62°|
|tD-special=|
|tD-CD={{Coxeter–Dynkin diagram|node_1|5|node_1|3|node}}

|CO-name=Cuboctahedron|
|CO-image=Polyhedron 6-8 max.png|
|CO-image2=Cuboctahedron.jpg|
|CO-image3=Cuboctahedron.gif|
|CO-dimage=Polyhedron 6-8 dual max.png|
|CO-vfigimage=Polyhedron 6-8 vertfig.svg|CO-netimage=Polyhedron 6-8 net.svg|
|CO-vfig=3.4.3.4|
|CO-conway=aC<BR>aaT|
|CO-Wythoff=2 &#124; 3 4<BR>3 3 &#124; 2|
|CO-W=11|CO-U=07|CO-K=12|CO-C=19|
|CO-V=12|CO-E=24|CO-F=14|CO-Fdetail=8{3}+6{4}|
|CO-chi=2
|CO-group=[[Octahedral symmetry|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), order 48<BR>[[Tetrahedral symmetry|T<sub>d</sub>]], [3,3], (*332), order 24|
|CO-rotgroup=[[Octahedral symmetry|O]], [4,3]<sup>+</sup>, (432), order 24|
|CO-B=Co|CO-special=[[Quasiregular polyhedron|quasiregular]]|
|CO-dual=Rhombic dodecahedron|CO-schl=r{4,3} or <math>\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math><BR>rr{3,3} or <math>r\begin{Bmatrix} 3 \\ 3 \end{Bmatrix}</math>|CO-schl2=t<sub>1</sub>{4,3} or t<sub>0,2</sub>{3,3}
|CO-dihedral=125.26°<BR>arcsec(−{{radic|3}})|
|CO-CD={{Coxeter–Dynkin diagram|node|4|node_1|3|node}} or {{Coxeter–Dynkin diagram||node_1|split1-43|nodes}}<BR>{{Coxeter–Dynkin diagram|node_1|3|node|3|node_1}} or {{Coxeter–Dynkin diagram||node|split1|nodes_11}}

|ID-name=Icosidodecahedron|
|ID-image=Polyhedron 12-20 max.png|
|ID-image2=Icosidodecahedron.jpg|
|ID-image3=Icosidodecahedron.gif|
|ID-dimage=Polyhedron 12-20 dual max.png|
|ID-vfigimage=Polyhedron 12-20 vertfig.svg|ID-netimage=Polyhedron 12-20 net.svg|
|ID-vfig=3.5.3.5|
|ID-conway=aD|
|ID-Wythoff=2 &#124; 3 5|
|ID-W=12|ID-U=24|ID-K=29|ID-C=28|
|ID-V=30|ID-E=60|ID-F=32|ID-Fdetail=20{3}+12{5}|
|ID-chi=2
|ID-group=[[Icosahedral symmetry|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), order 120|
|ID-rotgroup=[[Icosahedral symmetry|I]], [5,3]<sup>+</sup>, (532), order 60|
|ID-B=Id||ID-special=[[Quasiregular polyhedron|quasiregular]]|
|ID-dual=Rhombic triacontahedron|ID-schl=r{5,3}|ID-schl2=t<sub>1</sub>{5,3}|
|ID-dihedral=142.62°<BR><math> \cos^{-1} \left(-\sqrt{\frac{1}{15}\left(5+2\sqrt{5}\right)}\right)</math>|
|ID-CD={{Coxeter–Dynkin diagram|node|5|node_1|3|node}}

|grCO-name=Truncated cuboctahedron|
|grCO-image=Polyhedron great rhombi 6-8 max.png|
|grCO-image2=Truncatedcuboctahedron.jpg|
|grCO-image3=Truncatedcuboctahedron.gif|
|grCO-dimage=Polyhedron great rhombi 6-8 dual max.png|
|grCO-vfigimage=Polyhedron great rhombi 6-8 vertfig.svg|grCO-netimage=Polyhedron great rhombi 6-8 net.svg|
|grCO-vfig=4.6.8|
|grCO-conway=bC or taC|
|grCO-altname1=Rhombitruncated cuboctahedron|
|grCO-altname2=Truncated cuboctahedron|
|grCO-Wythoff=2 3 4 &#124; |
|grCO-W=15|grCO-U=11|grCO-K=16|grCO-C=23|
|grCO-V=48|grCO-E=72|grCO-F=26|grCO-Fdetail=12{4}+8{6}+6{8}|
|grCO-chi=2
|grCO-group=[[Octahedral symmetry|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), order 48|
|grCO-rotgroup=[[Octahedral symmetry|O]], [4,3]<sup>+</sup>, (432), order 24|
|grCO-B=Girco|grCO-special=[[Zonohedron|zonohedron]]|grCO-schl=tr{4,3} or <math>t\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math>|grCO-schl2=t<sub>0,1,2</sub>{4,3}|
|grCO-dual=Disdyakis dodecahedron|
|grCO-dihedral=4-6: arccos(−{{sfrac|{{radic|6}}|3}}) = 144°44′08″<BR>4-8: arccos(−{{sfrac|{{radic|2}}|3}}) = 135°<BR>6-8: arccos(−{{sfrac|{{radic|3}}|3}}) = 125°15′51″|
|grCO-CD={{Coxeter–Dynkin diagram|node_1|4|node_1|3|node_1}}

|grID-name=Truncated icosidodecahedron|
|grID-image=Polyhedron great rhombi 12-20 max.png|
|grID-image2=Truncatedicosidodecahedron.jpg|
|grID-image3=Truncatedicosidodecahedron.gif|
|grID-dimage=Polyhedron great rhombi 12-20 dual max.png|
|grID-vfigimage=Polyhedron great rhombi 12-20 vertfig.svg|grID-netimage=Polyhedron great rhombi 12-20 net.svg|
|grID-vfig=4.6.10|
|grID-conway=bD or taD|
|grID-altname1=Rhombitruncated icosidodecahedron|
|grID-altname2=Truncated icosidodecahedron|
|grID-Wythoff=2 3 5 &#124; |
|grID-W=16|grID-U=28|grID-K=33|grID-C=31|
|grID-V=120|grID-E=180|grID-F=62|grID-Fdetail=30{4}+20{6}+12{10}|
|grID-chi=2
|grID-group=[[Icosahedral symmetry|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), order 120|
|grID-rotgroup=[[Icosahedral symmetry|I]], [5,3]<sup>+</sup>, (532), order 60|
|grID-B=Grid|grID-special=[[Zonohedron|zonohedron]]||grID-schl=tr{5,3} or <math>t\begin{Bmatrix} 5 \\ 3 \end{Bmatrix}</math>|grID-schl2=t<sub>0,1,2</sub>{5,3}|
|grID-dual=Disdyakis triacontahedron|
|grID-dihedral=6-10: 142.62°<BR>4-10: 148.28°<BR>4-6: 159.095°|
|grID-CD={{Coxeter–Dynkin diagram|node_1|5|node_1|3|node_1}}

|lrCO-name=Rhombicuboctahedron|
|lrCO-altname1=Rhombicuboctahedron|
|lrCO-image=Polyhedron small rhombi 6-8 max.png|
|lrCO-image2=Rhombicuboctahedron.jpg|
|lrCO-image3=Rhombicuboctahedron.gif|
|lrCO-dimage=Polyhedron small rhombi 6-8 dual max.png|
|lrCO-vfigimage=Polyhedron small rhombi 6-8 vertfig.svg|lrCO-netimage=Polyhedron small rhombi 6-8 net.svg|
|lrCO-vfig=3.4.4.4|
|lrCO-conway=eC or aaC<BR>aaaT|
|lrCO-Wythoff=3 4 &#124; 2|
|lrCO-W=13|lrCO-U=10|lrCO-K=15|lrCO-C=22|
|lrCO-V=24|lrCO-E=48|lrCO-F=26|lrCO-Fdetail=8{3}+(6+12){4}|lrCO-chi=2|
|lrCO-group=[[Octahedral symmetry|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), order 48|
|lrCO-rotgroup=[[Octahedral symmetry|O]], [4,3]<sup>+</sup>, (432), order 24|
|lrCO-B=Sirco|
|lrCO-dual=Deltoidal icositetrahedron|
|lrCO-dihedral=3-4: 144°44′08″ (144.74°)<BR>4-4: 135°|
|lrCO-special=|lrCO-schl=rr{4,3} or <math>r\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math>|lrCO-schl2=t<sub>0,2</sub>{4,3}|
|lrCO-CD={{Coxeter–Dynkin diagram|node_1|4|node|3|node_1}}

|lrID-name=Rhombicosidodecahedron|
|lrID-image=Polyhedron small rhombi 12-20 max.png|
|lrID-image2=Rhombicosidodecahedron.jpg|
|lrID-image3=Rhombicosidodecahedron.gif|
|lrID-dimage=Polyhedron small rhombi 12-20 dual max.png|
|lrID-altname1=Rhombicosidodecahedron|lrID-netimage=Polyhedron small rhombi 12-20 net.svg|
|lrID-vfig=3.4.5.4|
|lrID-conway=eD or aaD|
|lrID-vfigimage=Polyhedron small rhombi 12-20 vertfig.svg|
|lrID-Wythoff=3 5 &#124; 2|
|lrID-W=14|lrID-U=27|lrID-K=32|lrID-C=30|
|lrID-V=60|lrID-E=120|lrID-F=62|lrID-Fdetail=20{3}+30{4}+12{5}|
|lrID-chi=2
|lrID-group=[[Icosahedral symmetry|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), order 120|
|lrID-rotgroup=[[Icosahedral symmetry|I]], [5,3]<sup>+</sup>, (532), order 60|
|lrID-B=Srid|
|lrID-dual=Deltoidal hexecontahedron|
|lrID-dihedral=3-4: 159°05′41″ (159.09°)<BR>4-5: 148°16′57″ (148.28°)|
|lrID-special=|lrID-schl=rr{5,3} or <math>r\begin{Bmatrix} 5 \\ 3 \end{Bmatrix}</math>|lrID-schl2=t<sub>0,2</sub>{5,3}|
|lrID-CD={{Coxeter–Dynkin diagram|node_1|5|node|3|node_1}}

|nCO-name=Snub cube|
|nCO-image=Polyhedron snub 6-8 left max.png|
|nCO-image2=Snubhexahedroncw.jpg|
|nCO-image3=Snubhexahedroncw.gif|
|nCO-dimage=Polyhedron snub 6-8 left dual max.png|
|nCO-vfigimage=Polyhedron snub 6-8 left vertfig.svg|nCO-netimage=Polyhedron snub 6-8 left net.svg|
|nCO-vfig=3.3.3.3.4|
|nCO-conway=sC|
|nCO-Wythoff=&#124; 2 3 4|
|nCO-W=17|nCO-U=12|nCO-K=17|nCO-C=24|
|nCO-V=24|nCO-E=60|nCO-F=38|
|nCO-Fdetail=(8+24){3}+6{4}|
|nCO-chi=2
|nCO-group=[[Octahedral symmetry|O]], {{sfrac|1|2}}B<sub>3</sub>, [4,3]<sup>+</sup>, (432), order 24|
|nCO-rotgroup=[[Octahedral symmetry|O]], [4,3]<sup>+</sup>, (432), order 24|
|nCO-B=Snic|
|nCO-dual=Pentagonal icositetrahedron|
|nCO-dihedral=3-3: 153°14′04″ (153.23°)<BR>3-4: 142°59′00″ (142.98°)|
|nCO-special=[[Chirality (mathematics)|chiral]]|nCO-schl=sr{4,3} or <math>s\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math>|nCO-schl2=ht<sub>0,1,2</sub>{4,3}|
|nCO-CD={{Coxeter–Dynkin diagram|node_h|4|node_h|3|node_h}}

|nID-name=Snub dodecahedron|
|nID-image=Polyhedron snub 12-20 left max.png|
|nID-image2=Snubdodecahedroncw.jpg|
|nID-image3=Snubdodecahedronccw.gif|
|nID-dimage=Polyhedron snub 12-20 left dual max.png|
|nID-vfigimage=Polyhedron snub 12-20 left vertfig.svg|nID-netimage=Polyhedron snub 12-20 left net.svg|
|nID-vfig=3.3.3.3.5|
|nID-conway=sD|
|nID-Wythoff=&#124; 2 3 5|
|nID-W=18|nID-U=29|nID-K=34|nID-C=32|
|nID-V=60|nID-E=150|nID-F=92|
|nID-Fdetail=(20+60){3}+12{5}|
|nID-chi=2
|nID-group=[[Icosahedral symmetry|I]], {{sfrac|1|2}}H<sub>3</sub>, [5,3]<sup>+</sup>, (532), order 60|
|nID-rotgroup=[[Icosahedral symmetry|I]], [5,3]<sup>+</sup>, (532), order 60|
|nID-B=Snid|nID-special=[[Chirality (mathematics)|chiral]]|nID-schl=sr{5,3} or <math>s\begin{Bmatrix} 5 \\ 3 \end{Bmatrix}</math>|nID-schl2=ht<sub>0,1,2</sub>{5,3}|
|nID-dual=Pentagonal hexecontahedron|
|nID-dihedral=3-3: 164°10′31″ (164.18°)<BR>3-5: 152°55′53″ (152.93°)|
|nID-CD={{Coxeter–Dynkin diagram|node_h|5|node_h|3|node_h}}

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{{Polyhedron templates}}

[[Category:Polyhedron templates]]
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