U-tiling: UQC4791
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1765 |
*222222 |
(4,6,2) |
{4,3,4,4} |
{3.16.16.3}{3.16.16}{16.16.16.16... |
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
|
|
sqc4468
|
|
I212121 |
24 |
orthorhombic |
{4,3,4,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc639
|
|
Pmmm |
47 |
orthorhombic |
{4,3,4,4} |
6 |
(4,6) |
Topological data
| Vertex degrees | {4,3,4,4} |
| 2D vertex symbol | {3.16.16.3}{3.16.16}{16.16.16.16}{16.16.16.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<77.1:88:12 3 5 50 8 10 22 14 16 61 19 21 34 25 27 72 30 32 44 36 38 83 41 43 56 47 49 52 54 66 58 60 63 65 78 69 71 74 76 88 80 82 85 87,2 14 6 7 9 11 13 17 18 20 22 24 36 28 29 31 33 35 39 40 42 44 46 58 50 51 53 55 57 61 62 64 66 68 80 72 73 75 77 79 83 84 86 88,23 4 5 28 18 19 53 54 33 34 15 16 39 64 65 44 26 27 40 41 75 76 37 38 86 87 67 48 49 72 62 63 77 78 59 60 83 88 70 71 84 85 81 82:3 16 3 16 3 3,4 3 4 4 4 4 3 4 4 3 4 3> {(2, 60): 't1', (2, 61): 'tau3^-1*t2', (2, 62): 'tau3^-1*t2', (2, 63): 'tau3^-1', (0, 44): 't2^-1*tau3', (0, 60): 't1', (2, 52): 't2^-1', (2, 53): 't2^-1', (2, 54): 't2^-1*tau1^-1', (2, 55): 't1', (0, 43): 'tau2^-1*t3^-1', (2, 41): 't3*tau1^-1*t2^-1*tau3*t1', (2, 42): 't3*tau1^-1*t2^-1*tau3*t1', (2, 43): 'tau2^-1*t1', (2, 32): 't3', (2, 30): 't3*tau1^-1', (2, 31): 't3*tau1^-1', (2, 20): 'tau3', (0, 21): 't1^-1', (1, 68): 't2^-1*tau3*t1', (1, 57): 'tau3^-1*t2', (2, 84): 't1^-1*tau3^-1*t2', (2, 87): 'tau2^-1*t3^-1*tau1*t2', (2, 83): 't1^-1*tau3^-1*t2', (0, 76): 't3*tau2', (0, 77): 't1^-1*tau3^-1*t2'}