# User:Tomruen/uniform tilings

## Summary

1-uniform tilings include 3 regular tilings, and 8 semiregular ones, with 2 or more types of regular polygon faces. There are 20 2-uniform tilings. 3-uniform tilings include 22 2-Archimedean tilings and 39 3-Archimedean ones. The 3 regular tilings have regular dual tilings. In general n-isogonal tilings have n-isohedral dual tilings.

k-uniform, m-Archimedean tiling counts
m
k 1 2 3 4 5 6 Total
1 11 0 0 0 0 0 11
2 0 20 0 0 0 0 20
3 0 22 39 0 0 0 61
4 0 33 85 33 0 0 151
5 0 74 149 94 15 0 332
6 0 100 284 187 92 10 673

## Vertex figures and dual faces

Valance 3 Valance 4
6.6.6 4.6.12 4.8.8 3.12.12 4.4.4.4 3.6.3.6 3.3.6.6
Valance 4 Valance 5 Valance 6
3.4.4.6 3.4.6.4 3.4.3.12 3.3.4.12 3.3.4.3.4 3.3.3.4.4 3.3.3.3.6 3.3.3.3.3.3
 H Q Δ

## Regular (1-3)

There are 3 regular tilings in the Euclidean plane. The duals are also regular.

 Regular Regularduals 6.6.6, H 4.4.4.4, Q 3.3.3.3.3.3, Δ V6.6.6 = 3.3.3.3.3.3 V4.4.4.4 = 4.4.4.4 V3.3.3.3.3.3 = 6.6.6

## Semiregular and duals (1-8)

There are 8 semiregular tilings, and 8 duals.

1-uniform tilings and duals, rectangular symmetry, (1 of 8)
cmm, 2*22

33.42, Δ:e
Elongated triangular tiling

V33.42, dΔ:e
Prismatic pentagonal tiling
1-uniform tilings and duals, square symmetry, (2 of 8)
p4m, *442 p4, 442

4.82, tQ
Truncated square tiling

V4.82, dtQ
Tetrakis square tiling

32.4.3.4, sQ
Snub square tiling

V32.4.3.4, dsQ
Cairo pentagonal tiling
1-uniform tilings and duals, hexagonal symmetry, (5 of 8)
p6m, *632 p6, 632

3.122, tH
Truncated hexagonal tiling

(3.6)2, aH
Trihexagonal tiling

3.4.6.4, eH
Rhombitrihexagonal tiling

4.6.12, taH
Truncated trihexagonal tiling

34.6, sH
Snub hexagonal tiling

V3.122, dtH
Triakis triangular tiling

V(3.6)2, daH
Rhombille tiling

V3.4.6.4, deH
Deltoidal trihexagonal tiling

V4.6.12, dtaH
Kisrhombille tiling

V34.6, dsH
Floret pentagonal tiling

## 2-uniform and duals (1-20)

There are 20 2-uniform tilings, and 20 duals:

2-uniform tilings, rectangular symmetry (9 of 20)
cmm, 2*22 cmm, 2*22 pmm, *2222 cmm, 2*22 cmm, 2*22

(44; 33.42)1, Δ:e2
(t=2, e=4)

(44; 33.42)2, Δ:e3
(t=3, e=5)

(36; 33.42)1, Δ:e/2
(t=3, e=4)

(36; 33.42)2, Δ:e/3
(t=4, e=5)

(3.42.6; (3.6)2)2, aH:e
(t=3, e=4)

(V44; V33.42)1

(V44; V33.42)2

(V36; V33.42)1

(V36; V33.42)2

(V3.42.6; V(3.6)2)2
pmm, *2222 pmm, *2222 cmm, 2*22 pgg, 2×

(3.42.6; (3.6)2)1
(t=4, e=4)

((3.6)2; 32.62)
(t=2, e=3)

(32.62; 34.6)
(t=2, e=4)

(33.42; 32.4.3.4)2
(t=6, e=6)

(V3.42.6; V(3.6)2)1

(V(3.6)2; V32.62)

(V32.62; V34.6)

(V33.42; V32.4.3.4)2
2-uniform tilings, square symmetry (2 of 20)
p4m, *442 p4g, 4*2

(3.12.12; 3.4.3.12)
(t=3, e=3)

(33.42; 32.4.3.4)1
(t=4, e=5)

(V3.12.12; V3.4.3.12)

(V33.42; V32.4.3.4)1
2-uniform tilings, hexagonal symmetry (9 of 20)
p6m, *632 p6m, *632 p6m, *632 p6, 632

(36; 32.62)
(t=2, e=3)

(36; 32.4.3.4)
(t=3, e=3)

(36; 34.6)1
(t=3, e=3)

(36; 34.6)2
(t=5, e=7)

(V36; V32.62)

(V36; V32.4.3.4)

(V36; V34.6)1

(V36; V34.6)2
p6m, *632

(3.4.6.4; 32.4.3.4)
(t=4, e=4)

(3.4.6.4; 33.42)
(t=4, e=4)

(3.4.6.4; 3.42.6)
(t=5, e=5)

(4.6.12; 3.4.6.4)
(t=4, e=4)

(36; 32.4.12)
(t=4, e=4)

(V3.4.6.4; V32.4.3.4)

(V3.4.6.4; V33.42)

(V3.4.6.4; V3.42.6)

(V4.6.12; V3.4.6.4)

(V36; V32.4.12)

## 3-uniform and duals

There are 61 3-uniform tilings, and 61 duals:

 p6m(t=4, e=5) cmm(t=2, e=4) pmg(t=2, e=5) p6m(t=2, e=3) p6m(t=6, e=7) p3m1(t=5, e=6) p6m(t=5, e=6) p6m(t=5, e=6) cmm(t=5, e=7) cmm(t=4, e=7) cmm(t=5, e=7) pmm(t=6, e=7) pmm(t=5, e=7) pmm(t=4, e=6) cmm(t=5, e=7) cmm(t=3, e=6) cmm(t=4, e=5) pmm(t=5, e=6) pmm(t=4, e=6) pmm(t=3, e=5) cmm(t=4, e=6) p4g(t=3, e=4) p4(t=4, e=6) p6m(t=5, e=6) cmm(t=4, e=6) p6m(t=6, e=6) cmm(t=5, e=8) cmm(t=6, e=8) cmm(t=4, e=7) pmg(t=4, e=6)

### 3-uniform and duals (31-61)

 pmm(t=5, e=7) cmm(t=5, e=6) pmm(t=5, e=7) p6m(t=5, e=6) p6m(t=6, e=8) p6m(t=6, e=6) p6m(t=6, e=6) pmg(t=5, e=8) cmm(t=3, e=5) pmm(t=3, e=5) cmm(t=3, e=6) p6m(t=4, e=4) p6m(t=3, e=3) cmm(t=5, e=6) pmg(t=4, e=7) p2(t=4, e=7) p6m(t=6, e=7) p6m(t=5, e=6) pmm(t=5, e=6) cmm(t=6, e=7) cmm(t=4, e=6) pmg(t=5, e=7) pgg(t=5, e=8) p6m(t=4, e=5) p2(t=6, e=9) p6m(t=5, e=6) p6m(t=8, e=5) p6m(t=3, e=4) p6m(t=5, e=5) p6(t=7, e=9) cmm(t=4, e=6)

## 4-uniform and duals

There are 151 4-uniform tilings, and 151 duals:

### 4-uniform and duals (1-25)

 p6m, *632 p6m, *632 cmm, 2*22 cmm, 2*22 cmm, 2*22 p6m, *632 p6m, *632 p6m, *632 p6, 632 p6, 632 cmm, 2*22 cmm, 2*22 cmm, 2*22 p6m, *632 pmm, *2222 pmm, *2222 p6, 632 pmm, *2222 pmm, *2222 pmm, *2222 pmm, *2222 p6m, *632 p6, 632 p6, 632 p6m, *632

## 5-uniform tilings and duals (1-332)

 [3342; 3262; 3446; (63)2] [36; (3262)2; (63)2] [36; 346; 3262; (63)2] [3262; 3636; (63)3] [346; 3262; (63)3] [3342; 3262; 3446; (63)2] [36; (3262)2; (63)2] [36; 346; 3262; (63)2] [3262; 3636; (63)3] [346; 3262; (63)3] [36; (3262)3; 63] [36; 346; (3262)2; 63] [346; (3262)2; 3636; 63] [(3262)2; (3636)2; 63] [(346)2; 3262; 3636; 63] [36; (3262)3; 63] [36; 346; (3262)2; 63] [346; (3262)2; 3636; 63] [(3262)2; (3636)2; 63] [(346)2; 3262; 3636; 63] [(36)2; 346; 3262; 63] [36; (346)2; 3262; 63] [(346)2; (3262)2; 63] [(36)2; 346; 3262; 63] [(36)2; 346; 3262; 63] [(36)2; 346; 3262; 63] [36; (346)2; 3262; 63] [(346)2; (3262)2; 63] [(36)2; 346; 3262; 63] [(36)2; 346; 3262; 63] [3342; 3262; 3446; (63)2] [36; (3262)2; (63)2] [36; 346; 3262; (63)2] [(3262)2; 3636; (63)2] [36; 346; 3262; (63)2] [3342; 3262; 3446; (63)2] [36; (3262)2; (63)2] [36; 346; 3262; (63)2] [(3262)2; 3636; (63)2] [36; 346; 3262; (63)2] [36; 346; 3262; (63)2] [36; (3262)3; 63] [36; 346; (3262)2; 63] [346; (3262)2; 3636; 63] [3262; (3636)3; 63] [36; 346; 3262; (63)2] [36; (3262)3; 63] [36; 346; (3262)2; 63] [346; (3262)2; 3636; 63] [3262; (3636)3; 63] [346; (3262)2; 3636; 63] [346; (3262)2; 3636; 63] [346; 3262; 3636; (63)2] [33434; 3262; 3464; 3446; 63] [36; 346; 3262; 3636; 63] [346; (3262)2; 3636; 63] [346; (3262)2; 3636; 63] [346; 3262; 3636; (63)2] [33434; 3262; 3464; 3446; 63] [36; 346; 3262; 3636; 63] [346; (3262)2; 3636; 63] [36; 334.12; (46.12)3] [36; 33434; (3446)2; 46.12] [(3446)2; (3636)2; 46.12] [36; 346; 3342; 3446; 46.12] [346; (3262)2; 3636; 63] [36; 334.12; (46.12)3] [36; 33434; (3446)2; 46.12] [(3446)2; (3636)2; 46.12] [36; 346; 3342; 3446; 46.12] [(3464)4; 46.12] [36; 33434; 3446; (46.12)2] [36; 33434; 3464; (46.12)2] [(3464)2; (46.12)3] [3464; 3446; (46.12)3] [(3464)4; 46.12] [36; 33434; 3446; (46.12)2] [36; 33434; 3464; (46.12)2] [(3464)2; (46.12)3] [3464; 3446; (46.12)3] [(3464)2; (46.12)3] [36; (334.12)3; 46.12] [33434; 334.12; 3464; 3.12.12; 46.12] [343.12; (3.12.12)4] [334.12; 343.12; (3.12.12)3] [(3464)2; (46.12)3] [36; (334.12)3; 46.12] [33434; 334.12; 3464; 3.12.12; 46.12] [343.12; (3.12.12)4] [334.12; 343.12; (3.12.12)3] [36; 33434; 334.12; (3.12.12)2] [36; 33434; 343.12; (3.12.12)2] [(3342)2; 334.12; 343.12; 3.12.12] [(3342)2; 334.12; 343.12; 3.12.12] [3342; (44)4] [36; 33434; 334.12; (3.12.12)2] [36; 33434; 343.12; (3.12.12)2] [(3342)2; 334.12; 343.12; 3.12.12] [(3342)2; 334.12; 343.12; 3.12.12] [3342; (44)4] [3446; 3636; (44)3] [3446; 3636; (44)3] [(3342)2; (44)3] [36; 3342; (44)3] [36; 3342; (44)3] [3446; 3636; (44)3] [3446; 3636; (44)3] [(3342)2; (44)3] [36; 3342; (44)3] [36; 3342; (44)3] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; 3636; (44)2] [3446; (3636)2; (44)2] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; 3636; (44)2] [3446; (3636)2; (44)2] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; 3636; (44)2] [3446; (3636)2; (44)2] [(3342)2; (44)3] [(3342)2; (44)3] [(3446)2; 3636; (44)2] [3262; 3446; 3636; (44)2] [3446; (3636)2; (44)2] [(3342)2; (44)3] [(3342)2; (44)3] [(3342)3; (44)2] [36; (3342)2; (44)2] [(36)2; 3342; (44)2] [(36)2; 3342; (44)2] [(3446)2; 3636; (44)2] [(3342)3; (44)2] [36; (3342)2; (44)2] [(36)2; 3342; (44)2] [(36)2; 3342; (44)2] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; (3636)2; 44] [3446; (3636)3; 44] [36; 346; 3446; 3636; 44] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; (3636)2; 44] [3446; (3636)3; 44] [36; 346; 3446; 3636; 44] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; (3636)2; 44] [3446; (3636)3; 44] [36; 346; 3446; 3636; 44] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; (3636)2; 44] [3446; (3636)3; 44] [36; 346; 3446; 3636; 44] [(3342)2; (44)3] [(3342)3; (44)2] [(3342)4; 44] [36; (3342)3; 44] [36; (3342)3; 44] [(3342)2; (44)3] [(3342)3; (44)2] [(3342)4; 44] [36; (3342)3; 44] [36; (3342)3; 44] [36; (3342)2; (44)2] [36; (3342)3; 44] [(36)2; (3342)2; 44] [(36)3; 3342; 44] [(36)3; 3342; 44] [36; (3342)2; (44)2] [36; (3342)3; 44] [(36)2; (3342)2; 44] [(36)3; 3342; 44] [(36)3; 3342; 44] [3342; 3262; 3446; (44)2] [346; 3342; 3446; (44)2] [33434; 3262; (3446)2; 44] [(3342)2; 334.12; 343.12; 44] [3342; (44)4] [3342; 3262; 3446; (44)2] [346; 3342; 3446; (44)2] [33434; 3262; (3446)2; 44] [(3342)2; 334.12; 343.12; 44] [3342; (44)4] [3446; 3636; (44)3] [3446; 3636; (44)3] [(3342)2; (44)3] [36; 3342; (44)3] [36; 3342; (44)3] [3446; 3636; (44)3] [3446; 3636; (44)3] [(3342)2; (44)3] [36; 3342; (44)3] [36; 3342; (44)3] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; 3636; (44)2] [3446; (3636)2; (44)2] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; 3636; (44)2] [3446; (3636)2; (44)2] [(3446)2; 3636; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; 3636; (44)2] [3446; (3636)2; (44)2] [(3342)2; (44)3] [(3342)3; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; 3636; (44)2] [3446; (3636)2; (44)2] [(3342)2; (44)3] [(3342)3; (44)2] [36; (3342)2; (44)2] [(36)2; 3342; (44)2] [(36)2; 3342; (44)2] [(3342)3; (44)2] [36; (3342)2; (44)2] [36; (3342)2; (44)2] [(36)2; 3342; (44)2] [(36)2; 3342; (44)2] [(3342)3; (44)2] [36; (3342)2; (44)2] [36; (3342)2; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; (3636)2; 44] [3446; (3636)3; 44] [36; 346; 3446; 3636; 44] [36; (3342)2; (44)2] [(3446)2; 3636; (44)2] [3262; 3446; (3636)2; 44] [3446; (3636)3; 44] [36; 346; 3446; 3636; 44] [3262; 3446; (3636)2; 44] [3446; (3636)3; 44] [36; 346; 3446; 3636; 44] [36; 3342; 3446; 3636; 44] [36; 346; 3342; 3446; 44] [3262; 3446; (3636)2; 44] [3446; (3636)3; 44] [36; 346; 3446; 3636; 44] [36; 3342; 3446; 3636; 44] [36; 346; 3342; 3446; 44] [3342; 3262; 3446; (44)2] [346; 3342; 3446; (44)2] [346; 3342; 33434; 3446; 44] [(3342)4; 44] [36; (3342)3; 44] [3342; 3262; 3446; (44)2] [346; 3342; 3446; (44)2] [346; 3342; 33434; 3446; 44] [(3342)4; 44] [36; (3342)3; 44] [36; (3342)3; 44] [36; (3342)3; 44] [(36)2; (3342)2; 44] [(36)3; 3342; 44] [(36)3; 3342; 44] [36; (3342)3; 44] [36; (3342)3; 44] [(36)2; (3342)2; 44] [(36)3; 3342; 44] [(36)3; 3342; 44] [(3342)4; 44] [36; (3342)3; 44] [(36)2; (3342)2; 44] [(36)2; (3342)2; 44] [36; (3342)3; 44] [(3342)4; 44] [36; (3342)3; 44] [(36)2; (3342)2; 44] [(36)2; (3342)2; 44] [36; (3342)3; 44] [36; (3342)3; 44] [(36)2; (3342)2; 44] [346; (3342)2; 3636; 44] [36; (3342)2; 33434; 44] [346; (3342)2; 33434; 44] [36; (3342)3; 44] [(36)2; (3342)2; 44] [346; (3342)2; 3636; 44] [36; (3342)2; 33434; 44] [346; (3342)2; 33434; 44] [36; 3342; (3464)2; 3446] [3342; 3262; 3464; (3446)2] [33434; 3262; 3464; (3446)2] [36; 33434; (3446)2; 3636] [(33434)2; 3262; (3446)2] [36; 3342; (3464)2; 3446] [3342; 3262; 3464; (3446)2] [33434; 3262; 3464; (3446)2] [36; 33434; (3446)2; 3636] [(33434)2; 3262; (3446)2] [(3464)3; (3446)2] [3342; 33434; 3464; (3446)2] [36; 33434; (3262)2; 3446] [(3342)3; 3262; 3446] [3342; (3262)2; (3446)2] [(3464)3; (3446)2] [3342; 33434; 3464; (3446)2] [36; 33434; (3262)2; 3446] [(3342)3; 3262; 3446] [3342; (3262)2; (3446)2] [3342; (3262)2; (3446)2] [3342; 3262; (3464)2; 3446] [33434; 3262; (3464)2; 3446] [(3446)3; (3636)2] [36; 3342; (3446)2; 3636] [3342; (3262)2; (3446)2] [3342; 3262; (3464)2; 3446] [33434; 3262; (3464)2; 3446] [(3446)3; (3636)2] [36; 3342; (3446)2; 3636] [3262; (3446)2; (3636)2] [(3262)2; 3446; (3636)2] [3262; 3446; (3636)3] [(3446)2; (3636)3] [3262; 3446; (3636)3] [3262; (3446)2; (3636)2] [(3262)2; 3446; (3636)2] [3262; 3446; (3636)3] [(3446)2; (3636)3] [3262; 3446; (3636)3] [3446; (3636)4] [346; (3342)2; 3446; 3636] [346; (3342)2; 3446; 3636] [(36)2; 346; 3446; 3636] [(3446)3; (3636)2] [3446; (3636)4] [346; (3342)2; 3446; 3636] [346; (3342)2; 3446; 3636] [(36)2; 346; 3446; 3636] [(3446)3; (3636)2] [36; 3342; (3446)2; 3636] [(3262)2; 3446; (3636)2] [3262; 3446; (3636)3] [3262; 3446; (3636)3] [3446; (3636)4] [36; 3342; (3446)2; 3636] [(3262)2; 3446; (3636)2] [3262; 3446; (3636)3] [3262; 3446; (3636)3] [3446; (3636)4] [346; (3342)2; 3446; 3636] [346; (3342)2; 3446; 3636] [(36)2; 346; 3446; 3636] [(3464)2; (3446)2; 3636] [3262; (3446)2; (3636)2] [346; (3342)2; 3446; 3636] [346; (3342)2; 3446; 3636] [(36)2; 346; 3446; 3636] [(3464)2; (3446)2; 3636] [3262; (3446)2; (3636)2] [(3446)2; (3636)3] [3262; (3446)2; (3636)2] [(3446)2; (3636)3] [(3342)3; 3446; 3636] [(3342)3; 3446; 3636] [(3446)2; (3636)3] [3262; (3446)2; (3636)2] [(3446)2; (3636)3] [(3342)3; 3446; 3636] [(3342)3; 3446; 3636] [(36)2; 3342; 3446; 3636] [36; 3342; 3262; 3446; 3636] [36; 3342; 3446; (3636)2] [(346)2; (3446)2; 3636] [346; 3342; (3446)2; 3636] [(36)2; 3342; 3446; 3636] [36; 3342; 3262; 3446; 3636] [36; 3342; 3446; (3636)2] [(346)2; (3446)2; 3636] [346; 3342; (3446)2; 3636] [(346)2; (3446)2; 3636] [(346)2; (3446)2; 3636] [(346)2; (3446)2; 3636] [(3342)2; (3446)2; 3636] [(3342)2; (3446)2; 3636] [(346)2; (3446)2; 3636] [(346)2; (3446)2; 3636] [(346)2; (3446)2; 3636] [(3342)2; (3446)2; 3636] [(3342)2; (3446)2; 3636] [36; 33434; 3464; 3446; 3636] [36; 346; 3464; 3446; 3636] [36; 346; (3342)2; 3446] [36; 346; 3342; 3262; 3446] [36; (346)2; 3342; 3446] [36; 33434; 3464; 3446; 3636] [36; 346; 3464; 3446; 3636] [36; 346; (3342)2; 3446] [36; 346; 3342; 3262; 3446] [36; (346)2; 3342; 3446] [(346)2; (3342)2; 3446] [36; (346)2; 3342; 3446] [36; (346)2; 3342; 3446] [346; (3342)3; 3446] [(346)2; 3342; (3446)2] [(346)2; (3342)2; 3446] [36; (346)2; 3342; 3446] [36; (346)2; 3342; 3446] [346; (3342)3; 3446] [(346)2; 3342; (3446)2] [346; 3342; (3464)2; 3446] [36; 3342; (334.12)2; 3464] [(36)2; (3342)2; 3464] [36; (3342)2; 33434; 3464] [36; (3342)2; 33434; 3464] [346; 3342; (3464)2; 3446] [36; 3342; (334.12)2; 3464] [(36)2; (3342)2; 3464] [36; (3342)2; 33434; 3464] [36; (3342)2; 33434; 3464] [36; (3342)2; 334.12; 3464] [36; 3342; (33434)2; 3464] [36; 33434; (334.12)2; 3464] [(36)2; 3342; 33434; 3464] [36; 3342; (33434)2; 3464] [36; (3342)2; 334.12; 3464] [36; 3342; (33434)2; 3464] [36; 33434; (334.12)2; 3464] [(36)2; 3342; 33434; 3464] [36; 3342; (33434)2; 3464] [(33434)2; (3464)3] [(3342)2; 334.12; (3464)2] [36; (33434)2; (3464)2] [(33434)3; (3464)2] [3342; (33434)2; (3464)2] [(33434)2; (3464)3] [(3342)2; 334.12; (3464)2] [36; (33434)2; (3464)2] [(33434)3; (3464)2] [3342; (33434)2; (3464)2] [3342; (33434)2; (3464)2] [3342; (33434)2; (3464)2] [(33434)2; 343.12; (3464)2] [36; 346; (3342)2; 3262] [(36)3; 346; 3262] [3342; (33434)2; (3464)2] [3342; (33434)2; (3464)2] [(33434)2; 343.12; (3464)2] [36; 346; (3342)2; 3262] [(36)3; 346; 3262] [(36)3; 346; 3262] [(36)3; 346; 3262] [(36)2; 346; 3262; 3636] [(36)2; (346)2; 3262] [36; 346; (3262)2; 3636] [(36)3; 346; 3262] [(36)3; 346; 3262] [(36)2; 346; 3262; 3636] [(36)2; (346)2; 3262] [36; 346; (3262)2; 3636] [36; (346)2; (3262)2] [(36)2; 346; (3262)2] [346; (3262)3; 3636] [36; (346)2; (3262)2] [346; (3262)2; (3636)2] [36; (346)2; (3262)2] [(36)2; 346; (3262)2] [346; (3262)3; 3636] [36; (346)2; (3262)2] [346; (3262)2; (3636)2] [(346)2; (3262)2; 3636] [36; (346)2; (3262)2] [(3262)2; (3636)3] [3262; (3636)4] [346; (3342)2; 3262; 3636] [(346)2; (3262)2; 3636] [36; (346)2; (3262)2] [(3262)2; (3636)3] [3262; (3636)4] [346; (3342)2; 3262; 3636] [346; (3342)2; 3262; 3636] [(36)2; 346; 3262; 3636] [346; (3262)3; 3636] [3262; (3636)4] [36; 346; 3262; (3636)2] [346; (3342)2; 3262; 3636] [(36)2; 346; 3262; 3636] [346; (3262)3; 3636] [3262; (3636)4] [36; 346; 3262; (3636)2] [36; (346)2; 3262; 3636] [36; (346)2; 3262; 3636] [36; (346)2; 3262; 3636] [(346)3; 3262; 3636] [(346)2; 3262; (3636)2] [36; (346)2; 3262; 3636] [36; (346)2; 3262; 3636] [36; (346)2; 3262; 3636] [(346)3; 3262; 3636] [(346)2; 3262; (3636)2] [(346)3; 3262; 3636] [36; (346)2; 3262; 3636] [36; 346; (3262)2; 3636] [36; 346; (3262)2; 3636] [(346)2; (3262)2; 3636] [(346)3; 3262; 3636] [36; (346)2; 3262; 3636] [36; 346; (3262)2; 3636] [36; 346; (3262)2; 3636] [(346)2; (3262)2; 3636] [(36)3; 346; 3262] [(36)3; 346; 3262] [(36)2; (346)2; 3262] [(36)2; (346)2; 3262] [(36)2; (346)2; 3262] [(36)3; 346; 3262] [(36)3; 346; 3262] [(36)2; (346)2; 3262] [(36)2; (346)2; 3262] [(36)2; (346)2; 3262] [(346)3; 3262; 3636] [(346)4; 3262] [(346)4; 3262] [36; (346)2; (3262)2] [36; (346)2; (3262)2] [(346)3; 3262; 3636] [(346)4; 3262] [(346)4; 3262] [36; (346)2; (3262)2] [36; (346)2; (3262)2] [36; 346; (3636)3] [(346)3; (3636)2] [36; 346; (3636)3] [346; (3342)2; (3636)2] [346; (3342)2; (3636)2] [36; 346; (3636)3] [(346)3; (3636)2] [36; 346; (3636)3] [346; (3342)2; (3636)2] [346; (3342)2; (3636)2] [(36)2; 346; (3636)2] [36; 346; (3636)3] [36; 346; (3636)3] [(36)2; (346)2; 3636] [(346)3; (3636)2] [(36)2; 346; (3636)2] [36; 346; (3636)3] [36; 346; (3636)3] [(36)2; (346)2; 3636] [(346)3; (3636)2] [(346)2; (3636)3] [(36)2; 346; 3342; 3636] [(36)2; 346; 3342; 3636] [(36)3; 346; 3636] [(36)3; 346; 3636] [(346)2; (3636)3] [(36)2; 346; 3342; 3636] [(36)2; 346; 3342; 3636] [(36)3; 346; 3636] [(36)3; 346; 3636] [36; (346)3; 3636] [(346)4; 3636] [(36)2; (346)2; 3636] [(36)2; (346)2; 3636] [36; 346; (3342)2; 334.12] [36; (346)3; 3636] [(346)4; 3636] [(36)2; (346)2; 3636] [(36)2; (346)2; 3636] [36; 346; (3342)2; 334.12] [(36)2; 3342; 33434; 334.12] [36; 33434; (334.12)2; 343.12] [36; (33434)3; 343.12] [36; (3342)4] [(36)2; (3342)3] [(36)2; 3342; 33434; 334.12] [36; 33434; (334.12)2; 343.12] [36; (33434)3; 343.12] [36; (3342)4] [(36)2; (3342)3] [(36)2; (3342)3] [(36)2; (3342)3] [(36)2; (3342)3] [(36)4; 3342] [(36)4; 3342] [(36)2; (3342)3] [(36)2; (3342)3] [(36)2; (3342)3] [(36)4; 3342] [(36)4; 3342] [36; (346)2; (3342)2] [(36)2; 346; 3342; 33434] [(36)2; 3342; (33434)2] [36; (3342)4] [36; (3342)4] [36; (346)2; (3342)2] [(36)2; 346; 3342; 33434] [(36)2; 3342; (33434)2] [36; (3342)4] [36; (3342)4] [(36)3; (3342)2] [(36)3; (3342)2] [(36)3; (3342)2] [(36)3; (3342)2] [(36)3; (3342)2] [(36)3; (3342)2] [(36)3; (3342)2] [(36)3; (3342)2] [(36)3; (3342)2] [(36)3; (3342)2] [(36)3; (3342)2] [(36)2; (3342)2; 33434] [(3342)3; (33434)2] [(3342)4; 33434] [(3342)3; (33434)2] [(36)3; (3342)2] [(36)2; (3342)2; 33434] [(3342)3; (33434)2] [(3342)4; 33434] [(3342)3; (33434)2] [(3342)2; (33434)3] [3342; (33434)4] [(36)2; 3342; (33434)2] [346; (3342)2; (33434)2] [(3342)2; (33434)3] [(3342)2; (33434)3] [3342; (33434)4] [(36)2; 3342; (33434)2] [346; (3342)2; (33434)2] [(3342)2; (33434)3] [(36)2; 3342; (33434)2] [(36)2; 3342; (33434)2] [36; (33434)4] [36; (33434)4] [(36)4; 346] [(36)2; 3342; (33434)2] [(36)2; 3342; (33434)2] [36; (33434)4] [36; (33434)4] [(36)4; 346] [(36)4; 346] [(36)4; 346] [(36)2; (346)3] [(36)2; (346)3] [(36)3; (346)2] [(36)4; 346] [(36)4; 346] [(36)2; (346)3] [(36)2; (346)3] [(36)3; (346)2] [(36)3; (346)2] [(36)3; (346)2] [(36)3; (346)2] [36; (346)4] [(36)2; (346)3] [(36)3; (346)2] [(36)3; (346)2] [(36)3; (346)2] [36; (346)4] [(36)2; (346)3] [(36)2; (346)3] [(36)2; (346)3] [(36)2; (346)3] [(36)2; (346)3]

## all n-gonal duals

### Triangles

 V6.6.6 V4.6.12 V4.82 V3.122
Regular Semiregular

V6.6.6

V4.6.12

V4.82

V3.122

 V4.4.4.4 V3.6.3.6 V3.3.6.6 V3.4.4.6 V3.4.6.4 V3.4.3.12 V3.3.4.12
Regular Semiregular

V4.4.4.4

V3.6.3.6

V3.4.6.4
2-uniform
3-uniform
3-uniform
3-uniform
4-uniform
4-uniform
4-uniform
4-uniform
4-uniform
4-uniform
4-uniform
4-uniform

### Pentagons

 V3.3.4.3.4 V3.3.3.4.4 V3.3.3.3.6
Semiregular

V32.4.3.4

V33.42

V34.6
2-uniform
3-uniform
4-uniform

### Hexagons

 V3.3.3.3.3.3 = 6.6.6