U-tiling: UQC2098
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1676 |
*222222 |
(2,6,4) |
{8,3} |
{4.4.8.3.3.8.4.4}{8.8.3} |
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) |
G
|
False
|
|
sqc4069
|
|
I212121 |
24 |
orthorhombic |
{8,3} |
8 |
(2,7) |
D
|
False
|
|
sqc586
|
|
P222 |
16 |
orthorhombic |
{8,3} |
4 |
(2,6) |
Topological data
Vertex degrees | {8,3} |
2D vertex symbol | {4.4.8.3.3.8.4.4}{8.8.3} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<79.1:88:23 4 5 50 18 19 31 32 55 34 15 16 61 42 43 66 26 27 72 40 41 77 37 38 83 88 67 48 49 62 63 75 76 78 59 60 86 87 70 71 84 85 81 82,2 7 26 6 9 11 13 18 37 17 20 22 24 29 28 31 33 35 40 39 42 44 46 51 70 50 53 55 57 62 81 61 64 66 68 73 72 75 77 79 84 83 86 88,12 3 5 28 8 10 22 14 16 39 19 21 34 25 27 30 32 44 36 38 41 43 56 47 49 72 52 54 66 58 60 83 63 65 78 69 71 74 76 88 80 82 85 87:3 8 4 4 3 4 8 3 4 3,8 3 3 8 8 3 3 8> {(0, 41): 'tau2^-1*t1', (0, 18): 't1^-1', (0, 84): 'tau2^-1*t3^-1', (2, 76): 't2^-1*tau3*t1', (0, 55): 't1', (2, 54): 't2^-1*tau3', (0, 63): 't2^-1*tau1^-1*t3*tau2', (0, 30): 't3', (2, 77): 't1^-1*tau3^-1*t2', (0, 52): 't2^-1*tau1^-1', (0, 42): 'tau2^-1*t1', (2, 55): 'tau3^-1*t2', (0, 39): 'tau2^-1*t3^-1', (0, 60): 't1', (0, 31): 't3', (0, 53): 't2^-1*tau1^-1', (0, 43): 't3*tau1^-1*t2^-1*tau3*t1', (0, 32): 't3*tau1^-1', (0, 86): 'tau2^-1*t3^-1*tau1*t2', (0, 17): 't1^-1', (0, 83): 'tau2^-1*t3^-1', (1, 58): 't1', (0, 40): 'tau2^-1*t3^-1', (0, 21): 'tau3', (0, 54): 't2^-1', (2, 60): 't1', }