U-tiling: UQC1956
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1628 |
*222222 |
(2,6,4) |
{8,3} |
{4.4.3.8.8.3.4.4}{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
|
|
sqc4128
|
|
Cmma |
67 |
orthorhombic |
{3,8} |
8 |
(2,6) |
|
G
|
False
|
|
sqc4072
|
|
C2/c |
15 |
monoclinic |
{3,8} |
8 |
(2,7) |
|
D
|
True
|
|
sqc3183
|
|
Imma |
74 |
orthorhombic |
{3,7} |
8 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.3.8.8.3.4.4}{3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<76.3:88:56 4 5 50 51 52 31 32 22 78 15 16 72 73 74 42 43 67 26 27 83 84 85 44 45 37 38 61 62 63 48 49 86 87 77 59 60 75 76 88 70 71 81 82,2 47 6 7 9 11 13 69 17 18 20 22 24 80 28 29 31 33 35 58 39 40 42 44 46 50 51 53 55 57 61 62 64 66 68 72 73 75 77 79 83 84 86 88,45 3 5 28 8 10 33 67 14 16 39 19 21 44 78 25 27 30 32 56 36 38 41 43 47 49 83 52 54 88 58 60 72 63 65 77 69 71 74 76 80 82 85 87:8 3 4 4 8 3 4 3 3 4,3 8 3 8 3 3 8 8> {(0, 29): 'tau3^-1*t2', (0, 51): 't3*tau2', (1, 57): 't3^-1*tau2^-1', (0, 41): 't1', (0, 18): 'tau3*t2^-1', (0, 62): 't3^-1*tau2^-1', (1, 46): 't3*tau2', (0, 55): 't3^-1', (0, 22): 't2^-1', (0, 42): 't1', (0, 9): 't1^-1', (0, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 30): 't1', (0, 75): 't2*tau3^-1*t1^-1*tau2*t3', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 44): 't3*tau2', (2, 11): 'tau3*t2^-1', (2, 55): 't3^-1*tau2^-1', (2, 22): 'tau3^-1*t2', (1, 13): 'tau3*t2^-1', (0, 53): 't3*tau2*t1^-1*tau3^-1*t2', (1, 79): 't2^-1*tau3', (0, 17): 'tau3*t2^-1', (0, 61): 't3^-1*tau2^-1', (0, 28): 'tau3^-1*t2', (0, 50): 't3*tau2', (0, 11): 't2', (0, 87): 'tau1', (0, 54): 'tau1', (0, 44): 't3', }