틀:반정다면체 정보 문서 원본 보기

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|tT-name=깎은 정사면체|
|tT-image=Truncated tetrahedron.png|
|tT-image2=Truncatedtetrahedron.jpg|
|tT-image3=Truncatedtetrahedron.gif|
|tT-dimage=Triakistetrahedron.jpg|
|tT-vfigimage=Truncated tetrahedron vertfig.png|tT-netimage=Truncated tetrahedron flat.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=[[정사면체 대칭|T<sub>d</sub>]], A<sub>3</sub>, [3,3], (*332), 24차|
|tT-rotgroup=[[정사면체 대칭|T]], [3,3]<sup>+</sup>, (332), 12차|
|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=삼방사면체|
|tT-dihedral=3-6: 109°28′16′<BR>6-6: 70°31′44″|
|tT-CD={{CDD|node_1|3|node_1|3|node}} = {{CDD|node_h1|4|node|3|node_1}}

|tO-name=깎은 정팔면체|
|tO-image=Truncated octahedron.png|
|tO-image2=Truncatedoctahedron.jpg|
|tO-image3=Truncatedoctahedron.gif|
|tO-dimage=Tetrakishexahedron.jpg|
|tO-vfigimage=Truncated octahedron vertfig.png|tO-netimage=Truncated Octahedron 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=[[정팔면체 대칭|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), 48차<BR>[[정사면체 대칭|T<sub>h</sub>]], [3,3] and (*332), 24차|
|tO-rotgroup=[[정팔면체 대칭|O]], [4,3]<sup>+</sup>, (432), 24차|
|tO-B=Toe|
|tO-special=[[parallelohedron]]<BR>[[permutohedron]]|
|tO-schl=t{3,4}<BR>tr{3,3}또는 <math>t\begin{Bmatrix} 3 \\ 3 \end{Bmatrix}</math>|tO-schl2=t<sub>0,1</sub>{3,4}또는 t<sub>0,1,2</sub>{3,3}|
|tO-dual=사방육면체|
|tO-dihedral=4-6: arccos(−{{sfrac|1|{{sqrt|3}}}}) = 125°15′51″<BR>6-6: arccos(−{{Sfrac|1|3}}) = 109°28′16″|
|tO-CD={{CDD|node|4|node_1|3|node_1}}<BR>{{CDD|node_1|3|node_1|3|node_1}}

|tC-name=깎은 정육면체|
|tC-image=Truncated hexahedron.png|
|tC-image2=Truncatedhexahedron.jpg|
|tC-image3=Truncatedhexahedron.gif|
|tC-dimage=Triakisoctahedron.jpg|
|tC-vfigimage=Truncated cube vertfig.svg|tC-netimage=Truncated hexahedron flat.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=[[정팔면체 대칭|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), 48차|
|tC-rotgroup=[[정팔면체 대칭|O]], [4,3]<sup>+</sup>, (432), 24차|
|tC-B=Tic|
|tC-dual=삼방팔면체|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={{CDD|node_1|4|node_1|3|node}}

|tI-name=깎은 정이십면체|
|tI-image=Truncated icosahedron.png|
|tI-image2=Truncatedicosahedron.jpg|
|tI-image3=Truncatedicosahedron.gif|
|tI-dimage=Pentakisdodecahedron.jpg|
|tI-vfigimage=Truncated icosahedron vertfig.png|tI-netimage=Truncated icosahedron flat-2.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=[[정이십면체 대칭|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), 120차|
|tI-rotgroup=[[정이십면체 대칭|I]], [5,3]<sup>+</sup>, (532), 60차|
|tI-B=Ti|
|tI-dual=오방십이면체|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={{CDD|node|5|node_1|3|node_1}}

|tD-name=깎은 정십이면체|
|tD-image=Truncated dodecahedron.png|
|tD-image2=Truncateddodecahedron.jpg|
|tD-image3=Truncateddodecahedron.gif|
|tD-dimage=Triakisicosahedron.jpg|
|tD-vfigimage=Truncated dodecahedron vertfig.png|tD-netimage=Truncated dodecahedron flat.png|
|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=[[정이십면체 대칭|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), 120차|
|tD-rotgroup=[[정이십면체 대칭|I]], [5,3]<sup>+</sup>, (532), 60차|
|tD-B=Tid|
|tD-dual=삼방이십면체|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={{CDD|node_1|5|node_1|3|node}}

|CO-name=육팔면체|
|CO-image=Cuboctahedron.png|
|CO-image2=Cuboctahedron.jpg|
|CO-image3=Cuboctahedron.gif|
|CO-dimage=Rhombicdodecahedron.jpg|
|CO-vfigimage=Cuboctahedron_vertfig.png|CO-netimage=Cuboctahedron flat.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=[[정팔면체 대칭|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), 48차<BR>[[정사면체 대칭|T<sub>d</sub>]], [3,3], (*332), 24차|
|CO-rotgroup=[[정팔면체 대칭|O]], [4,3]<sup>+</sup>, (432), 24차|
|CO-B=Co|CO-special=[[준정다면체]]|
|CO-dual=마름모십이면체|CO-schl=r{4,3}또는 <math>\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math><BR>rr{3,3}또는 <math>r\begin{Bmatrix} 3 \\ 3 \end{Bmatrix}</math>|CO-schl2=t<sub>1</sub>{4,3}또는 t<sub>0,2</sub>{3,3}
|CO-dihedral=125.26°<BR>arcsec(−{{sqrt|3}})|
|CO-CD={{CDD|node|4|node_1|3|node}}또는 {{CDD||node_1|split1-43|nodes}}<BR>{{CDD|node_1|3|node|3|node_1}}또는 {{CDD||node|split1|nodes_11}}

|ID-name=십이이십면체|
|ID-image=Icosidodecahedron.png|
|ID-image2=Icosidodecahedron.jpg|
|ID-image3=Icosidodecahedron.gif|
|ID-dimage=Rhombictriacontahedron.svg|
|ID-vfigimage=Icosidodecahedron_vertfig.png|ID-netimage=Icosidodecahedron flat.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=[[정이십면체 대칭|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), 120차|
|ID-rotgroup=[[정이십면체 대칭|I]], [5,3]<sup>+</sup>, (532), 60차|
|ID-B=Id||ID-special=[[준정다면체]]|
|ID-dual=마름모삼십면체|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={{CDD|node|5|node_1|3|node}}

|grCO-name=깎은 육팔면체|
|grCO-image=Great rhombicuboctahedron.png|
|grCO-image2=Truncatedcuboctahedron.jpg|
|grCO-image3=Truncatedcuboctahedron.gif|
|grCO-dimage=Disdyakisdodecahedron.jpg|
|grCO-vfigimage=Great rhombicuboctahedron vertfig.png|grCO-netimage=Truncated cuboctahedron flat.svg|
|grCO-vfig=4.6.8|
|grCO-conway=bC또는 taC|
|grCO-altname1=마름모 깎은 육팔면체|
|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=[[정팔면체 대칭|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), 48차|
|grCO-rotgroup=[[정팔면체 대칭|O]], [4,3]<sup>+</sup>, (432), 24차|
|grCO-B=Girco|grCO-special=[[zonohedron]]|grCO-schl=tr{4,3}또는 <math>t\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math>|grCO-schl2=t<sub>0,1,2</sub>{4,3}|
|grCO-dual=육방팔면체|
|grCO-dihedral=4-6: arccos(−{{sfrac|{{sqrt|6}}|3}}) = 144°44′08″<BR>4-8: arccos(−{{sfrac|{{sqrt|2}}|3}}) = 135°<BR>6-8: arccos(−{{sfrac|{{sqrt|3}}|3}}) = 125°15′51″|
|grCO-CD={{CDD|node_1|4|node_1|3|node_1}}

|grID-name=깎은 십이이십면체|
|grID-image=Great rhombicosidodecahedron.png|
|grID-image2=Truncatedicosidodecahedron.jpg|
|grID-image3=Truncatedicosidodecahedron.gif|
|grID-dimage=Disdyakistriacontahedron.jpg|
|grID-vfigimage=Great rhombicosidodecahedron vertfig.png|grID-netimage=Truncated icosidodecahedron flat.svg|
|grID-vfig=4.6.10|
|grID-conway=bD또는 taD|
|grID-altname1=마름모 깎은 십이이십면체|
|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=[[정이십면체 대칭|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), 120차|
|grID-rotgroup=[[정이십면체 대칭|I]], [5,3]<sup>+</sup>, (532), 60차|
|grID-B=Grid|grID-special=[[zonohedron]]||grID-schl=tr{5,3}또는 <math>t\begin{Bmatrix} 5 \\ 3 \end{Bmatrix}</math>|grID-schl2=t<sub>0,1,2</sub>{5,3}|
|grID-dual=육방이십면체|
|grID-dihedral=6-10: 142.62°<BR>4-10: 148.28°<BR>4-6: 159.095°|
|grID-CD={{CDD|node_1|5|node_1|3|node_1}}

|lrCO-name=마름모육팔면체|
|lrCO-image=Small rhombicuboctahedron.png|
|lrCO-image2=Rhombicuboctahedron.jpg|
|lrCO-image3=Rhombicuboctahedron.gif|
|lrCO-dimage=Deltoidalicositetrahedron.jpg|
|lrCO-vfigimage=Small rhombicuboctahedron vertfig.png|lrCO-netimage=Rhombicuboctahedron flat.png|
|lrCO-vfig=3.4.4.4|
|lrCO-conway=eC또는 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=[[정팔면체 대칭|O<sub>h</sub>]], B<sub>3</sub>, [4,3], (*432), 48차|
|lrCO-rotgroup=[[정팔면체 대칭|O]], [4,3]<sup>+</sup>, (432), 24차|
|lrCO-B=Sirco|
|lrCO-dual=연꼴이십사면체|
|lrCO-dihedral=3-4: 144°44′08″ (144.74°)<BR>4-4: 135°|
|lrCO-special=|lrCO-schl=rr{4,3}또는 <math>r\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math>|lrCO-schl2=t<sub>0,2</sub>{4,3}|
|lrCO-CD={{CDD|node_1|4|node|3|node_1}}

|lrID-name=마름모십이이십면체|
|lrID-image=Small rhombicosidodecahedron.png|
|lrID-image2=Rhombicosidodecahedron.jpg|
|lrID-image3=Rhombicosidodecahedron.gif|
|lrID-dimage=Deltoidalhexecontahedron.jpg|
|lrID-netimage=Rhombicosidodecahedron flat.png|
|lrID-vfig=3.4.5.4|
|lrID-conway=eD또는 aaD|
|lrID-vfigimage=Small rhombicosidodecahedron vertfig.png|
|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=[[정이십면체 대칭|I<sub>h</sub>]], H<sub>3</sub>, [5,3], (*532), 120차|
|lrID-rotgroup=[[정이십면체 대칭|I]], [5,3]<sup>+</sup>, (532), 60차|
|lrID-B=Srid|
|lrID-dual=연꼴육십면체|
|lrID-dihedral=3-4: 159°05′41″ (159.09°)<BR>4-5: 148°16′57″ (148.28°)|
|lrID-special=|lrID-schl=rr{5,3}또는 <math>r\begin{Bmatrix} 5 \\ 3 \end{Bmatrix}</math>|lrID-schl2=t<sub>0,2</sub>{5,3}|
|lrID-CD={{CDD|node_1|5|node|3|node_1}}

|nCO-name=다듬은 정육면체|
|nCO-image=Snub hexahedron.png|
|nCO-image2=Snubhexahedroncw.jpg|
|nCO-image3=Snubhexahedroncw.gif|
|nCO-dimage=Pentagonalicositetrahedronccw.jpg|
|nCO-vfigimage=Snub cube vertfig.png|nCO-netimage=Snub cube flat.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=[[정팔면체 대칭|O]], {{sfrac|1|2}}B<sub>3</sub>, [4,3]<sup>+</sup>, (432), 24차|
|nCO-rotgroup=[[정팔면체 대칭|O]], [4,3]<sup>+</sup>, (432), 24차|
|nCO-B=Snic|
|nCO-dual=오각이십사면체|
|nCO-dihedral=3-3: 153°14′04″ (153.23°)<BR>3-4: 142°59′00″ (142.98°)|
|nCO-special=[[카이랄성 (수학)|카이랄]]|nCO-schl=sr{4,3}또는 <math>s\begin{Bmatrix} 4 \\ 3 \end{Bmatrix}</math>|nCO-schl2=ht<sub>0,1,2</sub>{4,3}|
|nCO-CD={{CDD|node_h|4|node_h|3|node_h}}

|nID-name=다듬은 정십이면체|
|nID-image=Snub dodecahedron ccw.png|
|nID-image2=Snubdodecahedronccw.jpg|
|nID-image3=Snubdodecahedronccw.gif|
|nID-dimage=Pentagonalhexecontahedronccw.jpg|
|nID-vfigimage=Snub dodecahedron vertfig.png|nID-netimage=Snub dodecahedron flat.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=[[정이십면체 대칭|I]], {{sfrac|1|2}}H<sub>3</sub>, [5,3]<sup>+</sup>, (532), 60차|
|nID-rotgroup=[[정이십면체 대칭|I]], [5,3]<sup>+</sup>, (532), 60차|
|nID-B=Snid|nID-special=[[카이랄성 (수학)|카이랄]]|nID-schl=sr{5,3}또는 <math>s\begin{Bmatrix} 5 \\ 3 \end{Bmatrix}</math>|nID-schl2=ht<sub>0,1,2</sub>{5,3}|
|nID-dual=오각육십면체|
|nID-dihedral=3-3: 164°10′31″ (164.18°)<BR>3-5: 152°55′53″ (152.93°)|
|nID-CD={{CDD|node_h|5|node_h|3|node_h}}

}}<noinclude>
{{설명문서|내용=
{{다면체 틀}}

[[분류:다면체 틀]]
}}
</noinclude>