U-tiling: UQC5128
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc207 |
*22222 |
(2,4,2) |
{4,4} |
{4.8.8.4}{8.8.8.8} |
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
|
|
sqc5517
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4} |
12 |
(4,7) |
|
G
|
False
|
|
sqc5545
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
12 |
(4,8) |
|
D
|
False
|
|
sqc5493
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4} |
12 |
(4,7) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {8.8.8.8}{8.4.4.8}{8.8.4.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<104.2:96:25 3 5 7 56 57 11 36 37 15 17 19 80 81 23 48 27 29 31 92 93 35 39 41 43 68 69 47 85 51 53 55 59 96 73 63 65 67 71 84 75 77 79 83 87 89 91 95,2 4 10 8 9 12 14 16 22 20 21 24 26 28 34 32 33 36 38 40 46 44 45 48 50 52 58 56 57 60 62 64 70 68 69 72 74 76 82 80 81 84 86 88 94 92 93 96,49 62 63 6 7 68 33 34 35 24 73 86 87 18 19 92 45 46 47 85 74 75 30 31 80 48 61 50 51 42 43 56 54 55 93 94 95 84 66 67 81 82 83 96 78 79 90 91:8 4 8 4 4 4 8 8,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't3^-1*tau2^-1', (0, 59): 't3*tau2*t1^-1*tau3^-1*t2', (2, 62): 't3^-1', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 59): 'tau1', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (2, 55): 't3', (2, 48): 't3*tau2', (2, 49): 't3', (2, 50): 't3', (0, 47): 't1', (0, 36): 't1', (0, 24): 't1', (2, 31): 't2^-1', (2, 24): 'tau3^-1*t2', (2, 25): 't2^-1', (2, 26): 't2^-1', (0, 11): 't1^-1', (2, 19): 't2', (2, 12): 'tau3*t2^-1', (2, 13): 't2', (2, 14): 't2', (2, 61): 't3^-1', (2, 7): 't3', (2, 95): 'tau1', (0, 83): 't2*tau3^-1*t1^-1*tau2*t3'}