U-tiling: UQC4915
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1789 |
*222222 |
(4,6,2) |
{4,4,8,3} |
{7.7.7.7}{7.7.7.7}{7.4.4.7.7.4.4... |
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
|
|
sqc14548
|
|
Pmmm |
47 |
orthorhombic |
{3,8,4,4} |
5 |
(4,6) |
|
G
|
False
|
|
sqc4133
|
|
C2/c |
15 |
monoclinic |
{4,4,8,3} |
10 |
(4,7) |
|
D
|
False
|
|
sqc4134
|
|
Imma |
74 |
orthorhombic |
{4,4,8,3} |
10 |
(4,6) |
Topological data
| Vertex degrees | {4,4,8,3} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.4.4.7.7.4.4.7}{7.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<96.3:88:45 3 5 7 9 32 33 67 14 16 18 20 43 44 78 25 27 29 31 56 36 38 40 42 47 49 51 53 87 88 58 60 62 64 76 77 69 71 73 75 80 82 84 86,2 4 6 51 10 11 13 15 17 73 21 22 24 26 28 84 32 33 35 37 39 62 43 44 46 48 50 54 55 57 59 61 65 66 68 70 72 76 77 79 81 83 87 88,56 46 47 26 27 8 9 21 55 78 68 69 37 38 19 20 77 67 79 80 30 31 43 88 45 57 58 41 42 66 81 82 52 53 76 70 71 63 64 87 74 75 85 86:7 4 7 4 7 7 4 4,4 4 8 3 4 4 3 3 3 8> {(2, 53): 'tau1', (2, 54): 't3*tau2', (2, 55): 't3^-1', (0, 54): 't3*tau2*t1^-1*tau3^-1*t2', (0, 55): 't3^-1*tau2^-1', (0, 53): 't3*tau2*t1^-1*tau3^-1*t2', (2, 44): 't3', (0, 43): 't1', (0, 44): 't3*tau2', (2, 43): 'tau2*t3', (0, 32): 't1', (2, 32): 'tau3^-1*t2', (0, 31): 't1', (0, 11): 'tau3*t2^-1', (2, 21): 'tau3*t2^-1', (2, 22): 't2^-1', (0, 22): 'tau3^-1*t2', (0, 20): 't1^-1', (1, 72): 't2*tau3^-1', (2, 11): 't2', (1, 61): 't3^-1*tau2^-1', (1, 50): 't3*tau2', (1, 28): 'tau3^-1*t2', (2, 86): 'tau1', (0, 75): 't2*tau3^-1*t1^-1*tau2*t3', (0, 76): 't2*tau3^-1*t1^-1*tau2*t3'}