U-tiling: UQC5159
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2038 |
*222222 |
(4,6,2) |
{4,8,8,4} |
{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3... |
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) |
|
P
|
False
|
|
sqc771
|
|
Pmmm |
47 |
orthorhombic |
{8,8,4,4} |
4 |
(4,6) |
|
G
|
False
|
|
sqc5148
|
|
C2/c |
15 |
monoclinic |
{4,8,8,4} |
8 |
(4,7) |
|
D
|
False
|
|
sqc5128
|
|
Imma |
74 |
orthorhombic |
{4,8,8,4} |
8 |
(4,6) |
Topological data
| Vertex degrees | {4,8,8,4} |
| 2D vertex symbol | {6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3.3.6.6.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:96:13 3 5 7 9 11 24 15 17 19 21 23 37 27 29 31 33 35 48 39 41 43 45 47 73 51 53 55 57 59 84 85 63 65 67 69 71 96 75 77 79 81 83 87 89 91 93 95,2 4 12 8 11 10 14 16 24 20 23 22 26 28 36 32 35 34 38 40 48 44 47 46 50 52 60 56 59 58 62 64 72 68 71 70 74 76 84 80 83 82 86 88 96 92 95 94,25 50 51 6 7 68 69 58 59 36 37 74 75 18 19 92 93 82 83 48 86 87 30 31 80 81 94 95 62 63 42 43 56 57 70 71 85 54 55 96 73 66 67 84 78 79 90 91:6 3 3 6 3 3 6 3 6 3 3 3,4 8 8 4 4 8 8 4> {(2, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 59): 'tau1', (2, 62): 't3^-1*tau2^-1', (2, 56): 't3', (0, 60): 'tau1^-1', (2, 61): 't3^-1*tau2^-1', (0, 48): 'tau1', (2, 55): 't3', (2, 48): 't3*tau2*t1^-1*tau3^-1*t2', (2, 49): 't3*tau2', (2, 50): 't3*tau2', (2, 36): 't1', (2, 32): 't2^-1', (2, 31): 't2^-1', (2, 24): 't1', (2, 25): 'tau3^-1*t2', (2, 26): 'tau3^-1*t2', (2, 20): 't2', (2, 19): 't2', (2, 13): 'tau3*t2^-1', (2, 14): 'tau3*t2^-1', (2, 8): 't3', (2, 7): 't3', (0, 95): 'tau1'}