U-tiling: UQC2232
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1736 |
*222222 |
(2,6,4) |
{8,3} |
{4.3.8.4.4.8.3.4}{3.8.8} |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
False
|
|
sqc4328
|
|
Cmma |
67 |
orthorhombic |
{3,8} |
8 |
(2,6) |
G
|
False
|
|
sqc4211
|
|
C2/c |
15 |
monoclinic |
{3,8} |
8 |
(2,7) |
D
|
True
|
|
sqc292
|
|
Cmmm |
65 |
orthorhombic |
{3,6} |
4 |
(2,4) |
Topological data
Vertex degrees | {8,3} |
2D vertex symbol | {4.3.8.4.4.8.3.4}{3.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<84.3:88:56 4 5 50 51 30 53 54 33 78 15 16 72 73 41 75 76 44 67 26 27 83 84 86 87 45 37 38 61 62 64 65 48 49 85 88 59 60 74 77 70 71 81 82,2 47 6 9 8 11 13 69 17 20 19 22 24 80 28 31 30 33 35 58 39 42 41 44 46 50 53 52 55 57 61 64 63 66 68 72 75 74 77 79 83 86 85 88,45 3 5 7 19 10 22 67 14 16 18 21 78 25 27 29 41 32 44 56 36 38 40 43 47 49 51 74 54 77 58 60 62 85 65 88 69 71 73 76 80 82 84 87:8 3 4 4 8 3 4 4 3 3,3 8 3 3 8 3 8 8> {(1, 46): 't3*tau2', (1, 68): 't2*tau3^-1', (0, 55): 't3^-1', (0, 22): 't2^-1', (0, 42): 'tau2*t3', (2, 87): 'tau1', (2, 54): 'tau1', (0, 19): 'tau3*t2^-1', (0, 9): 'tau2^-1*t3^-1', (0, 63): 't3^-1*tau2^-1', (0, 30): 'tau3^-1*t2', (0, 52): 't3*tau2', (2, 44): 't3*tau2', (2, 11): 'tau3*t2^-1', (2, 62): 'tau1^-1', (2, 55): 't3^-1*tau2^-1', (2, 22): 'tau3^-1*t2', (0, 31): 'tau3^-1*t2', (2, 51): 'tau1', (0, 43): 't1', (0, 20): 'tau3*t2^-1', (1, 79): 't2^-1*tau3', (0, 32): 't1', (0, 76): 't2*tau3^-1*t1^-1*tau2*t3', (1, 35): 'tau2*t3', (0, 11): 't2', (0, 54): 't3*tau2*t1^-1*tau3^-1*t2', (0, 44): 't3', }