Convex regulars

Tetrahedron (({T-name2))}	Self-dual (({T-dual2))}	U₀₁	T:Tet 3 \| 2 3 \| 2 2 2 =	3.3.3 4{3}	F=4 E=6 V=4	T_d, A₃, [3,3], (*332)	W₁ K₀₆ C₁₅
Octahedron (({O-name2))}	Cube (({O-dual2))}	U₀₅	O:Oct 4 \| 2 3	3.3.3.3 8{3}	F=8 E=12 V=6	O_h, BC₃, [4,3], (*432)	W₂ K₁₀ C₁₇
Hexahedron (({C-name2))}	Octahedron (({C-dual2))}	U₀₆	C:Cube 3 \| 2 4	4.4.4 6{4}	F=6 E=12 V=8	O_h, B₃, [4,3], (*432)	W₃ K₁₁ C₁₈
Icosahedron (({I-name2))}	Regular dodecahedron (({I-dual2))}	U₂₂	I:Ike 5 \| 2 3	3.3.3.3.3 20{3}	F=20 E=30 V=12	I_h, H₃, [5,3], (*532)	W₄ K₂₇ C₂₅
Dodecahedron (({D-name2))}	Regular icosahedron (({D-dual2))}	U₂₃	D:Doe 3 \| 2 5	5.5.5 12{5}	F=12 E=30 V=20	I_h, H₃, [5,3], (*532)	W₅ K₂₈ C₂₆

Nonconvex regulars

Great dodecahedron (({gD-name2))}	Small stellated dodecahedron (({gD-dual2))}	U₃₅	gD:Gad 5⁄2 \| 2 5	(5⁵)/2 12{5}	F=12 E=30 V=12	I_h, H₃, [5,3], (*532)	W₂₁ K₄₀ C₄₄	[[Image:(({gD-netimage))}\|50px]]
Small stellated dodecahedron (({lsD-name2))}	Great dodecahedron (({lsD-dual2))}	U₃₄	lsD:Sissid 5 \| 2 5⁄2	(5⁄2)⁵ 12 5	F=12 E=30 V=12	I_h, H₃, [5,3], (*532)	W₂₀ K₃₉ C₄₃	[[Image:(({lsD-netimage))}\|50px]]
Great icosahedron (({gI-name2))}	Great stellated dodecahedron (({gI-dual2))}	U₅₃	gI:Gike 5⁄2 \| 2 3	(3⁵)/2 20{3}	F=20 E=30 V=12	I_h, H₃, [5,3], (*532)	W₄₁ K₅₈ C₆₉	[[Image:(({gI-netimage))}\|50px]]
Great stellated dodecahedron (({gsD-name2))}	Great icosahedron (({gsD-dual2))}	U₅₂	gsD:Gissid 3 \| 2 5⁄2	(5⁄2)³ 12 { 5⁄2 }	F=12 E=30 V=20	I_h, H₃, [5,3], (*532)	W₂₂ K₅₇ C₆₈	[[Image:(({gsD-netimage))}\|50px]]

Semiregulars

Truncated tetrahedron (({tT-name2))}	Triakis tetrahedron (({tT-dual2))}	U₀₂	tT:Tut 2 3 \| 3 =	3.6.6 4{3}+4{6}	F=8 E=18 V=12	T_d, A₃, [3,3], (*332), order 24	W₆ K₀₇ C₁₆
Truncated octahedron (({tO-name2))}	Tetrakis hexahedron (({tO-dual2))}	U₀₈	tO:Toe 2 4 \| 3 3 3 2 \|	4.6.6 6{4}+8{6}	F=14 E=36 V=24	O_h, B₃, [4,3], (432), order 48 T_h, [3,3] and (332), order 24	W₇ K₁₃ C₂₀
Truncated cube (({tC-name2))}	Triakis octahedron (({tC-dual2))}	U₀₉	tC:Tic 2 3 \| 4	3.8.8 8{3}+6{8}	F=14 E=36 V=24	O_h, B₃, [4,3], (*432), order 48	W₈ K₁₄ C₂₁
Truncated icosahedron (({tI-name2))}	Pentakis dodecahedron (({tI-dual2))}	U₂₅	tI:Ti 2 5 \| 3	5.6.6 12{5}+20{6}	F=32 E=90 V=60	I_h, H₃, [5,3], (*532), order 120	W₉ K₃₀ C₂₇
Truncated dodecahedron (({tD-name2))}	Triakis icosahedron (({tD-dual2))}	U₂₆	tD:Tid 2 3 \| 5	3.10.10 20{3}+12{10}	F=32 E=90 V=60	I_h, H₃, [5,3], (*532), order 120	W₁₀ K₃₁ C₂₉
Cuboctahedron (({CO-name2))}	Rhombic dodecahedron (({CO-dual2))}	U₀₇	CO:Co 2 \| 3 4 3 3 \| 2 or or	3.4.3.4 8{3}+6{4}	F=14 E=24 V=12	O_h, B₃, [4,3], (432), order 48 T_d, [3,3], (332), order 24	W₁₁ K₁₂ C₁₉
Icosidodecahedron (({ID-name2))}	Rhombic triacontahedron (({ID-dual2))}	U₂₄	ID:Id 2 \| 3 5	3.5.3.5 20{3}+12{5}	F=32 E=60 V=30	I_h, H₃, [5,3], (*532), order 120	W₁₂ K₂₉ C₂₈
Rhombicuboctahedron (({lrCO-name2))}	Deltoidal icositetrahedron (({lrCO-dual2))}	U₁₀	lrCO:Sirco 3 4 \| 2	3.4.4.4 8{3}+(6+12){4}	F=26 E=48 V=24	O_h, B₃, [4,3], (*432), order 48	W₁₃ K₁₅ C₂₂
Rhombicosidodecahedron (({lrID-name2))}	Deltoidal hexecontahedron (({lrID-dual2))}	U₂₇	lrID:Srid 3 5 \| 2	3.4.5.4 20{3}+30{4}+12{5}	F=62 E=120 V=60	I_h, H₃, [5,3], (*532), order 120	W₁₄ K₃₂ C₃₀
Truncated cuboctahedron (({grCO-name2))}	Disdyakis dodecahedron (({grCO-dual2))}	U₁₁	grCO:Girco 2 3 4 \|	4.6.8 12{4}+8{6}+6{8}	F=26 E=72 V=48	O_h, B₃, [4,3], (*432), order 48	W₁₅ K₁₆ C₂₃
Truncated icosidodecahedron (({grID-name2))}	Disdyakis triacontahedron (({grID-dual2))}	U₂₈	grID:Grid 2 3 5 \|	4.6.10 30{4}+20{6}+12{10}	F=62 E=180 V=120	I_h, H₃, [5,3], (*532), order 120	W₁₆ K₃₃ C₃₁
Snub cube (({nCO-name2))}	Pentagonal icositetrahedron (({nCO-dual2))}	U₁₂	nCO:Snic \| 2 3 4	3.3.3.3.4 (8+24){3}+6{4}	F=38 E=60 V=24	O, 1/2B₃, [4,3]⁺, (432), order 24	W₁₇ K₁₇ C₂₄
Snub dodecahedron (({nID-name2))}	Pentagonal hexecontahedron (({nID-dual2))}	U₂₉	nID:Snid \| 2 3 5	3.3.3.3.5 (20+60){3}+12{5}	F=92 E=150 V=60	I, 1/2H₃, [5,3]⁺, (532), order 60	W₁₈ K₃₄ C₃₂

Semiregular duals

Triakis tetrahedron	F=12 E=18 V=8	T_d, A₃, [3,3], (*332)		Dual:Truncated tetrahedron
Tetrakis hexahedron	F=24 E=36 V=14	O_h, B₃, [4,3], (*432)		Dual:Truncated octahedron
Triakis octahedron	F=24 E=36 V=14	O_h, B₃, [4,3], (*432)		Dual:Truncated cube
Pentakis dodecahedron	F=60 E=90 V=32	I_h, H₃, [5,3], (*532)		Dual:Truncated icosahedron
Triakis icosahedron	F=60 E=90 V=32	I_h, H₃, [5,3], (*532)		Dual:Truncated dodecahedron
Rhombic dodecahedron	F=12 E=24 V=14	O_h, B₃, [4,3], (*432)		Dual:Cuboctahedron
Rhombic triacontahedron	F=30 E=60 V=32	I_h, H₃, [5,3], (*532)	File:Rhombictriacontahedron.png	Dual:Icosidodecahedron

Incomplete

[[(({dlrCO-name))}]]	F=(({dlrCO-F))} E=(({dlrCO-E))} V=(({dlrCO-V))}	(({dlrCO-group))}	[[Image:(({dlrCO-image))}\|50px]]	[[Image:(({dlrCO-netimage))}\|50px]]	[[Image:(({dlrCO-dimage))}\|50px]]	Dual:[[(({dlrCO-dual))}]]
[[(({dlrID-name))}]]	F=(({dlrID-F))} E=(({dlrID-E))} V=(({dlrID-V))}	(({dlrID-group))}	[[Image:(({dlrID-image))}\|50px]]	[[Image:(({dlrID-netimage))}\|50px]]	[[Image:(({dlrID-dimage))}\|50px]]	Dual:[[(({dlrID-dual))}]]
[[(({dgrCO-name))}]]	F=(({dgrCO-F))} E=(({dgrCO-E))} V=(({dgrCO-V))}	(({dgrCO-group))}	[[Image:(({dgrCO-image))}\|50px]]	[[Image:(({dgrCO-netimage))}\|50px]]	[[Image:(({dgrCO-dimage))}\|50px]]	Dual:[[(({dgrCO-dual))}]]
[[(({dgrID-name))}]]	F=(({dgrID-F))} E=(({dgrID-E))} V=(({dgrID-V))}	(({dgrID-group))}	[[Image:(({dgrID-image))}\|50px]]	[[Image:(({dgrID-netimage))}\|50px]]	[[Image:(({dgrID-dimage))}\|50px]]	Dual:[[(({dgrID-dual))}]]
[[(({dnCO-name))}]]	F=(({dnCO-F))} E=(({dnCO-E))} V=(({dnCO-V))}	(({dnCO-group))}	[[Image:(({dnCO-image))}\|50px]]	[[Image:(({dnCO-netimage))}\|50px]]	[[Image:(({dnCO-dimage))}\|50px]]	Dual:[[(({dnCO-dual))}]]
[[(({dnID-name))}]]	F=(({dnID-F))} E=(({dnID-E))} V=(({dnID-V))}	(({dnID-group))}	[[Image:(({dnID-image))}\|50px]]	[[Image:(({dnID-netimage))}\|50px]]	[[Image:(({dnID-dimage))}\|50px]]	Dual:[[(({dnID-dual))}]]

Nonconvex

Octahemioctahedron	Octahemioctacron	U₀₃	OhO:Oho 3/2 3 \| 3 (({OhO-CD))}	3.6.3/2.6 8{3}+4{6}	F=12 E=24 V=12	O_h, [4,3], *432	W₆₈ K₀₈ C₃₇	[[Image:(({OhO-netimage))}\|50px]]
Tetrahemihexahedron	Tetrahemihexacron	U₀₄	ThH:Thah 3/2 3 \| 2 (double-covering) (({ThH-CD))}	3.4.3/2.4 4{3}+3{4}	F=7 E=12 V=6	T_d, [3,3], *332	W₆₇ K₀₉ C₃₆	[[Image:(({ThH-netimage))}\|50px]]
Small cubicuboctahedron	Small hexacronic icositetrahedron Small sagittal disdodecahedron	U₁₃	lCCO:Socco 3/2 4 \| 4 3 4/3 \| 4 (({lCCO-CD))}	4.8.3/2.8 8{3}+6{4}+6{8}	F=20 E=48 V=24	O_h, [4,3], *432	W₆₉ K₁₈ C₃₈	[[Image:(({lCCO-netimage))}\|50px]]
Great cubicuboctahedron	Great hexacronic icositetrahedron Great lanceal disdodecahedron	U₁₄	gCCO:Gocco 3 4 \| 4/3 4 3/2 \| 4 (({gCCO-CD))}	3.8/3.4.8/3 8{3}+6{4}+6{8/3}	F=20 E=48 V=24	O_h, [4,3], *432	W₇₇ K₁₉ C₅₀	[[Image:(({gCCO-netimage))}\|50px]]
Cubohemioctahedron	Hexahemioctacron	U₁₅	ChO:Cho 4/3 4 \| 3 (double-covering) (({ChO-CD))}	4.6.4/3.6 6{4}+4{6}	F=10 E=24 V=12	O_h, [4,3], *432	W₇₈ K₂₀ C₅₁	[[Image:(({ChO-netimage))}\|50px]]
Cubitruncated cuboctahedron	Tetradyakis hexahedron Trisdyakis octahedron	U₁₆	ctCO:Cotco 3 4 4/3 \| (({ctCO-CD))}	6.8.8/3 8{6}+6{8}+6{8/3}	F=20 E=72 V=48	O_h, [4,3], *432	W₇₉ K₂₁ C₅₂	[[Image:(({ctCO-netimage))}\|50px]]
Nonconvex great rhombicuboctahedron Great rhombicuboctahedron	Great deltoidal icositetrahedron Great sagittal disdodecahedron	U₁₇	ugrCO:Querco 3/2 4 \| 2 3 4/3 \| 2 (({ugrCO-CD))}	4.4.4.3/2 8{3}+(6+12){4}	F=26 E=48 V=24	O_h, [4,3], *432	W₈₅ K₂₂ C₅₉	[[Image:(({ugrCO-netimage))}\|50px]]
Small rhombihexahedron Small rhombicube	Small rhombihexacron Small dipteral disdodecahedron	U₁₈	lrH:Sroh 2 4 (3/2 4/2) \| (({lrH-CD))}	4.8.4/3.8/7 12{4}+6{8}	F=18 E=48 V=24	O_h, [4,3], *432	W₈₆ K₂₃ C₆₀	[[Image:(({lrH-netimage))}\|50px]]
Stellated truncated hexahedron Stellatruncated cube	Great triakis octahedron	U₁₉	stH:Quith 2 3 \| 4/3 2 3/2 \| 4/3 (({stH-CD))}	3.8/3.8/3 8{3}+6{8/3}	F=14 E=36 V=24	O_h, [4,3], *432	W₉₂ K₂₄ C₆₆	[[Image:(({stH-netimage))}\|50px]]
Great truncated cuboctahedron Stellatruncated cuboctahedron	Great disdyakis dodecahedron	U₂₀	gtCO:Quitco 2 3 4/3 \| (({gtCO-CD))}	4.6/5.8/3 12{4}+8{6}+6{8/3}	F=26 E=72 V=48	O_h, [4,3], *432	W₉₃ K₂₅ C₆₇	[[Image:(({gtCO-netimage))}\|50px]]
Great rhombihexahedron Great rhombicube	Great rhombihexacron Great dipteral disdodecahedron	U₂₁	grH:Groh 2 4/3 (3/2 4/2) \| (({grH-CD))}	4.8/3.4/3.8/5 12{4}+6{8/3}	F=18 E=48 V=24	O_h, [4,3], *432	W₁₀₃ K₂₆ C₈₂	[[Image:(({grH-netimage))}\|50px]]
Small ditrigonal icosidodecahedron	Small triambic icosahedron	U₃₀	ldID:Sidtid 3 \| 5/2 3 (({ldID-CD))}	(3.5/2)³ 20{3}+12{5/2}	F=32 E=60 V=20	I_h, [5,3], *532	W₇₀ K₃₅ C₃₉	[[Image:(({ldID-netimage))}\|50px]]
Small icosicosidodecahedron Small icosified icosidodecahedron	Small icosacronic hexecontahedron Small lanceal trisicosahedron	U₃₁	lIID:Siid 5/2 3 \| 3 (({lIID-CD))}	6.5/2.6.3 20{3}+12{5/2}+20{6}	F=52 E=120 V=60	I_h, [5,3], *532	W₇₁ K₃₆ C₄₀	[[Image:(({lIID-netimage))}\|50px]]
Small snub icosicosidodecahedron Snub disicosidodecahedron	Small hexagonal hexecontahedron	U₃₂	Seside:Seside \| 5/2 3 3 (({Seside-CD))}	3⁵.5/2 (40+60){3}+12{5/2}	F=112 E=180 V=60	I_h, [5,3], *532	W₁₁₀ K₃₇ C₄₁	[[Image:(({Seside-netimage))}\|50px]]
Small dodecicosidodecahedron Small dodekicosidodecahedron	Small dodecacronic hexecontahedron Small sagittal ditriacontadron	U₃₃	lDID:Saddid 3/2 5 \| 5 3 5/4 \| 5 (({lDID-CD))}	5.10.3/2.10 20{3}+12{5}+12{10}	F=44 E=120 V=60	I_h, [5,3], *532	W₇₂ K₃₈ C₄₂	[[Image:(({lDID-netimage))}\|50px]]
Dodecadodecahedron	Medial rhombic triacontahedron	U₃₆	DD:Did 2 \| 5 5/2 2 \| 5 5/3 2 \| 5/2 5/4 2 \| 5/3 5/4 (({DD-CD))}	5.5/2.5.5/2 12{5}+12{5/2}	F=24 E=60 V=30	I_h, [5,3], *532	W₇₃ K₄₁ C₄₅	[[Image:(({DD-netimage))}\|50px]]
Truncated great dodecahedron Great truncated dodecahedron	Small stellapentakis dodecahedron Small astropentakis dodecahedron	U₃₇	tgD:Tigid 2 5/2 \| 5 2 5/3 \| 5 (({tgD-CD))}	10.10.5/2 12{5/2}+12{10}	F=24 E=90 V=60	I_h, [5,3], *532	W₇₅ K₄₂ C₄₇	[[Image:(({tgD-netimage))}\|50px]]
Rhombidodecadodecahedron	Medial deltoidal hexecontahedron Midly lanceal ditriacontahedron	U₃₈	rDD:Raded 5/2 5 \| 2 (({rDD-CD))}	4.5/2.4.5 30{4}+12{5}+12{5/2}	F=54 E=120 V=60	I_h, [5,3], *532	W₇₆ K₄₃ C₄₈	[[Image:(({rDD-netimage))}\|50px]]
Small rhombidodecahedron	Small rhombidodecacron Small dipteral ditriacontahedron	U₃₉	lrD:Sird 2 5 (3/2 5/2) \| (({lrD-CD))}	4.10.4/3.10/9 30{4}+12{10}	F=42 E=120 V=60	I_h, [5,3], *532	W₇₄ K₄₄ C₄₆	[[Image:(({lrD-netimage))}\|50px]]
Snub dodecadodecahedron	Medial pentagonal hexecontahedron Midly petaloid ditriacontahedron	U₄₀	Siddid:Siddid \| 2 5/2 5 (({Siddid-CD))}	3.3.5/2.3.5 60{3}+12{5}+12{5/2}	F=84 E=150 V=60	I, [5,3]⁺, 532	W₁₁₁ K₄₅ C₄₉	[[Image:(({Siddid-netimage))}\|50px]]
Ditrigonal dodecadodecahedron	Medial triambic icosahedron	U₄₁	dDD:Ditdid 3 \| 5/3 5 3/2 \| 5 5/2 3/2 \| 5/3 5/4 3 \| 5/2 5/4 (({dDD-CD))}	(5.5/3)³ 12{5}+12{5/2}	F=24 E=60 V=20	I_h, [5,3], *532	W₈₀ K₄₆ C₅₃	[[Image:(({dDD-netimage))}\|50px]]
Great ditrigonal dodecicosidodecahedron Great dodekified icosidodecahedron	Great ditrigonal dodecacronic hexecontahedron Great lanceal trisicosahedron	U₄₂	gdDID:Gidditdid 3 5 \| 5/3 5/4 3/2 \| 5/3 (({gdDID-CD))}	3.10/3.5.10/3 20{3}+12{5}+12{10/3}	F=44 E=120 V=60	I_h, [5,3], *532	W₈₁ K₄₇ C₅₄	[[Image:(({gdDID-netimage))}\|50px]]
Small ditrigonal dodecicosidodecahedron Small dodekified icosidodecahedron	Small ditrigonal dodecacronic hexecontahedron Small sagittal trisicosahedron	U₄₃	ldDID:Sidditdid 5/3 3 \| 5 5/2 3/2 \| 5 (({ldDID-CD))}	3.10.5/3.10 20{3}+12{5/2}+12{10}	F=44 E=120 V=60	I_h, [5,3], *532	W₈₂ K₄₈ C₅₅	[[Image:(({ldDID-netimage))}\|50px]]
Icosidodecadodecahedron Icosified dodecadodecahedron	Medial icosacronic hexecontahedron Midly sagittal ditriacontahedron	U₄₄	IDD:Ided 5/3 5 \| 3 5/2 5/4 \| 3 (({IDD-CD))}	5.6.5/3.6 12{5}+12{5/2}+20{6}	F=44 E=120 V=60	I_h, [5,3], *532	W₈₃ K₄₉ C₅₆	[[Image:(({IDD-netimage))}\|50px]]
Icositruncated dodecadodecahedron	Tridyakis icosahedron	U₄₅	itDD:Idtid 3 5 5/3 \| (({itDD-CD))}	6.10.10/3 20{6}+12{10}+12{10/3}	F=44 E=180 V=120	I_h, [5,3], *532	W₈₄ K₅₀ C₅₇	[[Image:(({itDD-netimage))}\|50px]]
Snub icosidodecadodecahedron	Medial hexagonal hexecontahedron Petaloidal trisicosahedron	U₄₆	Sided:Sided \| 5/3 3 5 (({Sided-CD))}	3.3.3.5.3.5/3 (20+60){3}+12{5}+12{5/2}	F=104 E=180 V=60	I, [5,3]⁺, 532	W₁₁₂ K₅₁ C₅₈	[[Image:(({Sided-netimage))}\|50px]]
Great ditrigonal icosidodecahedron	Great triambic icosahedron	U₄₇	gdID:Gidtid 3/2 \| 3 5 3 \| 3/2 5 3 \| 3 5/4 3/2 \| 3/2 5/4 (({gdID-CD))}	((3.5)³)/2 20{3}+12{5}	F=32 E=60 V=20	I_h, [5,3], *532	W₈₇ K₅₂ C₆₁	[[Image:(({gdID-netimage))}\|50px]]
Great icosicosidodecahedron Great icosified icosidodecahedron	Great icosacronic hexecontahedron Great sagittal trisicosahedron	U₄₈	gIID:Giid 3/2 5 \| 3 3 5/4 \| 3 (({gIID-CD))}	5.6.3/2.6 20{3}+12{5}+20{6}	F=52 E=120 V=60	I_h, [5,3], *532	W₈₈ K₅₃ C₆₂	[[Image:(({gIID-netimage))}\|50px]]
Small icosihemidodecahedron	Small icosihemidodecacron	U₄₉	lIhD:Seihid 3/2 3 \| 5 (double covering) (({lIhD-CD))}	3.10.3/2.10 20{3}+6{10}	F=26 E=60 V=30	I_h, [5,3], *532	W₈₉ K₅₄ C₆₃	[[Image:(({lIhD-netimage))}\|50px]]
Small dodecicosahedron Small dodekicosahedron	Small dodecicosacron Small dipteral trisicosahedron	U₅₀	lDI:Siddy 3 5 (3/2 5/4) \| (({lDI-CD))}	6.10.6/5.10/9 20{6}+12{10}	F=32 E=120 V=60	I_h, [5,3], *532	W₉₀ K₅₅ C₆₄	[[Image:(({lDI-netimage))}\|50px]]
Small dodecahemidodecahedron	Small dodecahemidodecacron	U₅₁	lDhD:Sidhid 5/4 5 \| 5 (double covering) (({lDhD-CD))}	5.10.5/4.10 12{5}+6{10}	F=18 E=60 V=30	I_h, [5,3], *532	W₉₁ K₅₆ C₆₅	[[Image:(({lDhD-netimage))}\|50px]]
Great icosidodecahedron	Great rhombic triacontahedron	U₅₄	gID:Gid 2 \| 3 5/2 2 \| 3 5/3 2 \| 3/2 5/2 2 \| 3/2 5/3 (({gID-CD))}	3.5/2.3.5/2 20{3}+12{5/2}	F=32 E=60 V=30	I_h, [5,3], *532	W₉₄ K₅₉ C₇₀	[[Image:(({gID-netimage))}\|50px]]
Truncated great icosahedron Great truncatedicosahedron	Great stellapentakis dodecahedron Great astroapentakis dodecahedron	U₅₅	gtI:Tiggy 2 5/2 \| 3 2 5/3 \| 3 (({gtI-CD))}	6.6.5/2 12{5/2}+20{6}	F=32 E=90 V=60	I_h, [5,3], *532	W₉₅ K₆₀ C₇₁	[[Image:(({gtI-netimage))}\|50px]]
Rhombicosahedron	Rhombicosacron Midly dipteral ditriacontagedron	U₅₆	rI:Ri 2 3 (5/4 5/2) \| (({rI-CD))}	4.6.4/3.6/5 30{4}+20{6}	F=50 E=120 V=60	I_h, [5,3], *532	W₉₆ K₆₁ C₇₂	[[Image:(({rI-netimage))}\|50px]]
Great snub icosidodecahedron Great vertisnub icosadodecahedron	Great pentagonal hexecontahedron Great dentoid ditriacontahedron	U₅₇	Gosid:Gosid \| 2 5/2 3 (({Gosid-CD))}	3⁴.5/2 (20+60){3}+12{5/2}	F=92 E=150 V=60	I, [5,3]⁺, 532	W₁₁₃ K₆₂ C₈₈	[[Image:(({Gosid-netimage))}\|50px]]
Small stellated truncated dodecahedron Small stellatruncated dodecahedron	Great pentakis dodecahedron	U₅₈	lstD:Quit Sissid 2 5 \| 5/3 2 5/4 \| 5/3 (({lstD-CD))}	5.10/3.10/3 12{5}+12{10/3}	F=24 E=90 V=60	I_h, [5,3], *532	W₉₇ K₆₃ C₇₄	[[Image:(({lstD-netimage))}\|50px]]
Truncated dodecadodecahedron Stellatruncated dodecadodecahedron	Medial disdyakis triacontahedron Midly disdyakis triacontahedron	U₅₉	tDD:Quitdid 2 5 5/3 \| (({tDD-CD))}	4.10/9.10/3 30{4}+12{10}+12{10/3}	F=54 E=180 V=120	I_h, [5,3], *532	W₉₈ K₆₄ C₇₅	[[Image:(({tDD-netimage))}\|50px]]
Inverted snub dodecadodecahedron Vertisnub dodecadodecahedron	Medial inverted pentagonal hexecontahedron Medly dentoid ditriacontahedron	U₆₀	Isdid:Isdid \| 5/3 2 5 (({Isdid-CD))}	3.3.5.3.5/3 60{3}+12{5}+12{5/2}	F=84 E=150 V=60	I, [5,3]⁺, 532	W₁₁₄ K₆₅ C₇₆	[[Image:(({Isdid-netimage))}\|50px]]
Great dodecicosidodecahedron Great dodekicosidodecahedron	Great dodecacronic hexecontahedron Great lanceal ditriacontahedron	U₆₁	gDID:Gaddid 5/2 3 \| 5/3 5/3 3/2 \| 5/3 (({gDID-CD))}	3.10/3.5/2.10/7 20{3}+12{5/2}+12{10/3}	F=44 E=120 V=60	I_h, [5,3], *532	W₉₉ K₆₆ C₇₇	[[Image:(({gDID-netimage))}\|50px]]
Small dodecahemicosahedron Great dodecahemicosahedron	Small dodecahemicosacron	U₆₂	lDhI:Sidhei 5/3 5/2 \| 3 (double covering) (({lDhI-CD))}	6.5/2.6.5/3 12{5/2}+10{6}	F=22 E=60 V=30	I_h, [5,3], *532	W₁₀₀ K₆₇ C₇₈	[[Image:(({lDhI-netimage))}\|50px]]
Great dodecicosahedron Great dodekicosahedron	Great dodecicosacron Great dipteral trisicosahedron	U₆₃	gDI:Giddy 3 5/3 (3/2 5/2) \| (({gDI-CD))}	6.10/3.6/5.10/7 20{6}+12{10/3}	F=32 E=120 V=60	I_h, [5,3], *532	W₁₀₁ K₆₈ C₇₉	[[Image:(({gDI-netimage))}\|50px]]
Great snub dodecicosidodecahedron Great snub dodekicosidodecahedron	Great hexagonal hexecontahedron	U₆₄	Gisdid:Gisdid \| 5/3 5/2 3 (({Gisdid-CD))}	3.3.3.5/2.3.5/3 (20+60){3}+(12+12){5/2}	F=104 E=180 V=60	I, [5,3]⁺, 532	W₁₁₅ K₆₉ C₈₀	[[Image:(({Gisdid-netimage))}\|50px]]
Great dodecahemicosahedron Small dodecahemiicosahedron	Great dodecahemicosacron	U₆₅	gDhI:Gidhei 5/4 5 \| 3 (double covering) (({gDhI-CD))}	5.6.5/4.6 12{5}+10{6}	F=22 E=60 V=30	I_h, [5,3], *532	W₁₀₂ K₇₀ C₈₁	[[Image:(({gDhI-netimage))}\|50px]]
Great stellated truncated dodecahedron Great stellatruncated dodecahedron	Great triakis icosahedron	U₆₆	gstD:Quit Gissid 2 3 \| 5/3 (({gstD-CD))}	3.10/3.10/3 20{3}+12{10/3}	F=32 E=90 V=60	I_h, [5,3], *532	W₁₀₄ K₇₁ C₈₃	[[Image:(({gstD-netimage))}\|50px]]
Nonconvex great rhombicosidodecahedron Great rhombicosidodecahedron	Great deltoidal hexecontahedron Great sagittal ditriacontahedron	U₆₇	ugrID:Qrid 5/3 3 \| 2 5/2 3/2 \| 2 (({ugrID-CD))}	3.4.5/3.4 20{3}+30{4}+12{5/2}	F=62 E=120 V=60	I_h, [5,3], *532	W₁₀₅ K₇₂ C₈₄	[[Image:(({ugrID-netimage))}\|50px]]
Great truncated icosidodecahedron Stellatruncated icosidodecahedron	Great disdyakis triacontahedron	U₆₈	gtID:Gaquatid 2 3 5/3 \| (({gtID-CD))}	4.6.10/3 30{4}+20{6}+12{10/3}	F=62 E=180 V=120	I_h, [5,3], *532	W₁₀₈ K₇₃ C₈₇	[[Image:(({gtID-netimage))}\|50px]]
Great inverted snub icosidodecahedron Great snub icosidodecahedron	Great inverted pentagonal hexecontahedron Great petaloid ditriacontahedron	U₆₉	Gisid:Gisid \| 5/3 2 3 (({Gisid-CD))}	3⁴.5/3 (20+60){3}+12{5/2}	F=92 E=150 V=60	I, [5,3]⁺, 532	W₁₁₆ K₇₄ C₇₃	[[Image:(({Gisid-netimage))}\|50px]]
Great dodecahemidodecahedron	Great dodecahemidodecacron	U₇₀	gDhD:Gidhid 5/3 5/2 \| 5/3 (double covering) (({gDhD-CD))}	5/2.10/3.5/3.10/3 12{5/2}+6{10/3}	F=18 E=60 V=30	I_h, [5,3], *532	W₁₀₇ K₇₅ C₈₆	[[Image:(({gDhD-netimage))}\|50px]]
Great icosihemidodecahedron	Great icosihemidodecacron	U₇₁	gIhD:Geihid 3/2 3 \| 5/3 (({gIhD-CD))}	3.10/3.3/2.10/3 20{3}+6{10/3}	F=26 E=60 V=30	I_h, [5,3], *532	W₁₀₆ K₇₆ C₈₅	[[Image:(({gIhD-netimage))}\|50px]]
Small retrosnub icosicosidodecahedron Retrosnub disicosidodecahedron	Small hexagrammic hexecontahedron	U₇₂	Sirsid:Sirsid \| 3/2 3/2 5/2 (({Sirsid-CD))}	(3⁵.5/3)/2 (40+60){3}+12{5/2}	F=112 E=180 V=60	I_h, [5,3], *532	W₁₁₈ K₇₇ C₉₁	[[Image:(({Sirsid-netimage))}\|50px]]
Great rhombidodecahedron	Great rhombidodecacron Great dipteral ditriacontahedron	U₇₃	grD:Gird 2 5/3 (3/2 5/4) \| (({grD-CD))}	4.10/3.4/3.10/7 30{4}+12{10/3}	F=42 E=120 V=60	I_h, [5,3], *532	W₁₀₉ K₇₈ C₈₉	[[Image:(({grD-netimage))}\|50px]]
Great retrosnub icosidodecahedron	Great pentagrammic hexecontahedron Great astroid ditriacontahedron	U₇₄	Girsid:Girsid \| 2 3/2 5/3 (({Girsid-CD))}	(3⁴.5/2)/2 (20+60){3}+12{5/2}	F=92 E=150 V=60	I, [5,3]⁺, 532	W₁₁₇ K₇₉ C₉₀	[[Image:(({Girsid-netimage))}\|50px]]
Great dirhombicosidodecahedron	Great dirhombicosidodecacron	U₇₅	Gidrid:Gidrid \| 3/2 5/3 3 5/2 (({Gidrid-CD))}	4.5/3.4.3.4.5/2.4.3/2 40{3}+60{4}+24{5/2}	F=124 E=240 V=60	I_h, [5,3], *532	W₁₁₉ K₈₀ C₉₂	[[Image:(({Gidrid-netimage))}\|50px]]
Great disnub dirhombidodecahedron	Great disnub dirhombidodecacron	U_-	Skilling:Gidisdrid \| (3/2) 5/3 (3) 5/2 (({Skilling-CD))}	(5/2.4.3.3.3.4. 5/3.4.3/2.3/2.3/2.4)/₂ 120{3}+60{4}+24{5/2}	F=204 E=360 V=60	I_h, [5,3], *532	W_- K_- C_-	[[Image:(({Skilling-netimage))}\|50px]]

Convex prisms and antiprisms

triangular prism (({P3-name2))}	Triangular dipyramid (({P3-dual2))}	U_76(a)	P3:Trip 2 3 \| 2	4.4.3 3{4}+2{3}	F=5 E=9 V=6	D_3h, [3,2], (*322), order 12	W_-- K_01(a) C_--	[[Image:(({P3-netimage))}\|50px]]
Cube (({P4-name2))}	Octahedron (({P4-dual2))}	U_76(b)	P4:Cube 2 4 \| 2 2 2 2 \|	4.4.4 4{4}+2{4}	F=6 E=12 V=8	D_4h, [4,2], (*422), order 16	W_-- K_01(b) C_--	[[Image:(({P4-netimage))}\|50px]]
pentagonal prism (({P5-name2))}	Pentagonal dipyramid (({P5-dual2))}	U_76(c)	P5:Pip 2 5 \| 2	4.4.5 5{4}+2{5}	F=7 E=15 V=10	D_5h, [5,2], (*522), order 20	W_-- K_01(c) C_--	[[Image:(({P5-netimage))}\|50px]]
hexagonal prism (({P6-name2))}	Hexagonal dipyramid (({P6-dual2))}	U_76(d)	P6:Hip 2 6 \| 2 2 2 3 \|	4.4.6 6{4}+2{6}	F=8 E=18 V=12	D_6h, [6,2], (*622), order 24	W_-- K_01(d) C_--	[[Image:(({P6-netimage))}\|50px]]	File:Hexagonal bipyramid.png
octagonal prism (({P8-name2))}	Octagonal dipyramid (({P8-dual2))}	U_76(f)	P8:Op 2 8 \| 2 2 2 4 \|	4.4.8 8{4}+2{8}	F=10 E=24 V=16	D_8h, [8,2], (*822), order 32	W_-- K_01(f) C_--	[[Image:(({P8-netimage))}\|50px]]
decagonal prism (({P10-name2))}	Decagonal dipyramid (({P10-dual2))}	U_76(h)	P10:Dip 2 10 \| 2 2 2 5 \|	4.4.10 10{4}+2{10}	F=12 E=30 V=20	D_10h, [10,2], (*10.2.2), order 40	W_-- K_01(h) C_--	[[Image:(({P10-netimage))}\|50px]]
dodecagonal prism (({P12-name2))}	Dodecagonal dipyramid (({P12-dual2))}	U_76(j)	P12:Twip 2 12 \| 2 2 2 6 \|	4.4.12 12{4}+2{12}	F=14 E=36 V=24	D_12h, [12,2], (*12.2.2), order 48	W_-- K_01(j) C_--	[[Image:(({P12-netimage))}\|50px]]	File:Dodecagonal dipyramid.png

triangular antiprism (({AP3-name2))}	Trigonal trapezohedron (({AP3-dual2))}	U_77(a)	AP3:Oct \| 2 2 3	3.3.3.3 6{3}+2{3}	F=8 E=12 V=6	D_3d, [6,2⁺], (2*3), order 18	W_-- K_02(a) C_--	[[Image:(({AP3-netimage))}\|50px]]
square antiprism (({AP4-name2))}	Tetragonal trapezohedron (({AP4-dual2))}	U_77(b)	AP4:Squap \| 2 2 4	3.3.3.4 8{3}+2{4}	F=10 E=16 V=8	D_4d, [2⁺,8], (2*4), order 16	W_-- K_02(b) C_--	[[Image:(({AP4-netimage))}\|50px]]
pentagonal antiprism (({AP5-name2))}	Pentagonal trapezohedron (({AP5-dual2))}	U_77(c)	AP5:Pap \| 2 2 5	3.3.3.5 10{3}+2{5}	F=12 E=20 V=10	D_5d, [2⁺,10], (2*5), order 20	W_-- K_02(c) C_--	[[Image:(({AP5-netimage))}\|50px]]
hexagonal antiprism (({AP6-name2))}	Hexagonal trapezohedron (({AP6-dual2))}	U_77(d)	AP6:Hap \| 2 2 6	3.3.3.6 12{3}+2{6}	F=14 E=24 V=12	D_6d, [2⁺,12], (2*6), order 24	W_-- K_02(d) C_--	[[Image:(({AP6-netimage))}\|50px]]
octagonal antiprism (({AP8-name2))}	Octagonal trapezohedron (({AP8-dual2))}	U_77(f)	AP8:Oap \| 2 2 8	3.3.3.8 16{3}+2{8}	F=18 E=32 V=16	D_8d, [2⁺,16], (2*8), order 32	W_-- K_02(f) C_--	[[Image:(({AP8-netimage))}\|50px]]
decagonal antiprism (({AP10-name2))}	Decagonal trapezohedron (({AP10-dual2))}	U_77(h)	AP10:Dap \| 2 2 10	3.3.3.10 20{3}+2{10}	F=22 E=40 V=20	D_10d, [2⁺,20], (2*10), order 40	W_-- K_02(h) C_--	[[Image:(({AP10-netimage))}\|50px]]
dodecagonal antiprism (({AP12-name2))}	Dodecagonal trapezohedron (({AP12-dual2))}	U_77(j)	AP12:Twap \| 2 2 12	3.3.3.12 24{3}+2{12}	F=26 E=48 V=24	D_12d, [2⁺,24], (2*12), order 48	W_-- K_02(j) C_--	[[Image:(({AP12-netimage))}\|50px]]

Nonconvex prisms and antiprisms

pentagrammic prism (({P5d2-name2))}	Pentagrammic dipyramid (({P5d2-dual2))}	U_78(a)	P5d2:Stip 2 ⁵/₂ \| 2	4.4.⁵/₂ 5{4}+2{⁵/₂}	F=7 E=15 V=10	D_5h, [5,2], (*522), order 20	W_-- K_03(a) C_--			[[Image:(({P5d2-netimage))}\|50px]]	File:Pentagrammic dipyramid.png

pentagrammic antiprism (({AP5d2-name2))}	Pentagrammic trapezohedron (({AP5d2-dual2))}	U_79(a)	AP5d2:Stap \| 2 2 ⁵/₂	3.3.3.⁵/₂ 10{3}+2{⁵/₂}	F=12 E=20 V=10	D_5h, [5,2], (*552), order 20	W_-- K_04(a) C_--			[[Image:(({AP5d2-netimage))}\|50px]]	File:Pentagrammic trapezohedron.png
pentagrammic crossed-antiprism (({AP5d3-name2))}	Pentagrammic concave trapezohedron (({AP5d3-dual2))}	U_80(a)	AP5d3:Starp \| 2 2 ⁵/₃ =	3.3.3.⁵/₃ or 3.3.3.-⁵/₂ 10{3}+2{⁵/₂}	F=12 E=20 V=10	D_5h, [5,2], (*522), order 20	W_-- K_05(a) C_--			[[Image:(({AP5d3-netimage))}\|50px]]	File:Pentagrammic concave trapezohedron.png

Uniform tilings

Us:Squat 4 \| 2 4	Square tiling 4.4.4.4 (or 4⁴)	p4m, [4,4], (*442)	Dual:self-dual
Uts:Tosquat 2 \| 4 4 4 4 2 \| or	Truncated square tiling 4.8.8	p4m, [4,4], (*442)	Dual:Tetrakis square tiling
Uns:Snasquat \| 4 4 2 or	Snub square tiling 3.3.4.3.4	p4g, [4⁺,4], (4*2)	Dual:Cairo pentagonal tiling
Uh:Hexat 3 \| 6 2 2 6 \| 3 3 3 3 \|	Hexagonal tiling 6.6.6 (or 6³)	p6m, [6,3], (*632)	Dual:Triangular tiling
Uht:That 2 \| 6 3 3 3 \| 3 =	Trihexagonal tiling (3.6)²	p6m, [6,3], (*632)	Dual:Rhombille tiling
Uth:Toxat 2 3 \| 6	Truncated hexagonal tiling 3.12.12	p6m, [6,3], (*632)	Dual:Triakis triangular tiling
Ut:Trat 6 \| 3 2 3 \| 3 3 \| 3 3 3 =	Triangular tiling 3.3.3.3.3.3 (or 3⁶)	p6m, [6,3], (*632)	Dual:Hexagonal tiling
Urth:Rothat 3 \| 6 2	Rhombitrihexagonal tiling 3.4.6.4	p6m, [6,3], (*632)	Dual:Deltoidal trihexagonal tiling
Ugrth:Othat 2 6 3 \|	Truncated trihexagonal tiling 4.6.12	p6m, [6,3], (*632)	Dual:Kisrhombille tiling
Unh:Snathat \| 6 3 2	Snub trihexagonal tiling 3.3.3.3.6	p6, [6,3]⁺, (632)	Dual:Floret pentagonal tiling
Uet:Etrat 2 \| 2 (2 2)	Elongated triangular tiling 3.3.3.4.4	cmm, [∞,2⁺,∞], (2*22)	Dual:Prismatic pentagonal tiling

TEST |- | [[((((((1))}-name))}]]

| [[Image:((((((1))}-image))}|50px]] | ((((((1))}-Wythoff))} | | [[Image:((((((1))}-vfigimage))}|40px]]
((((((1))}-vfig))} | ((((((1))}-group))} | ((((((1))}-B))} | W((((((1))}-W))} | U((((((1))}-U))} | K((((((1))}-K))} | C((((((1))}-C))} | ((((((1))}-V))} | ((((((1))}-E))} | ((((((1))}-F))} | ((((((1))}-chi))} | ((((((1))}-Fdetail))}