U-tiling: UQC5125
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2019 |
*222222 |
(4,7,2) |
{4,4,4,4} |
{8.4.4.8}{8.8.4.4}{8.8.8.8}{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
|
|
sqc5538
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4} |
12 |
(4,7) |
|
G
|
False
|
|
sqc5238
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
12 |
(4,8) |
|
D
|
False
|
|
sqc5237
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4} |
12 |
(4,7) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {8.4.4.8}{8.8.4.4}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<102.1:96:13 3 5 54 55 9 11 24 15 17 78 79 21 23 37 27 29 90 91 33 35 48 39 41 66 67 45 47 73 51 53 57 59 84 85 63 65 69 71 96 75 77 81 83 87 89 93 95,2 8 6 7 10 12 14 20 18 19 22 24 26 32 30 31 34 36 38 44 42 43 46 48 50 56 54 55 58 60 62 68 66 67 70 72 74 80 78 79 82 84 86 92 90 91 94 96,25 4 5 30 67 68 69 58 59 36 37 16 17 42 91 92 93 82 83 48 28 29 79 80 81 94 95 40 41 55 56 57 70 71 85 52 53 90 96 73 64 65 78 84 76 77 88 89:8 4 4 8 4 4 8 8,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 59): 'tau1', (2, 56): 't3', (0, 60): 'tau1^-1', (2, 53): 't3*tau2*t1^-1*tau3^-1*t2', (0, 48): 'tau1', (2, 55): 't3', (2, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 42): 'tau2*t3', (0, 41): 'tau2*t3', (2, 42): 't3^-1', (2, 36): 't1', (2, 32): 't2^-1', (2, 29): 't1', (2, 30): 't2^-1', (2, 31): 't2^-1', (0, 30): 'tau3^-1*t2', (0, 29): 'tau3^-1*t2', (0, 18): 'tau3*t2^-1', (0, 17): 'tau3*t2^-1', (2, 17): 't1^-1', (2, 18): 't2', (2, 19): 't2', (2, 8): 't3', (2, 6): 't3', (2, 7): 't3', (2, 0): 't1^-1', (0, 5): 'tau2^-1*t3^-1', (0, 54): 't3*tau2', (2, 92): 't2^-1', (0, 95): 'tau1', (2, 77): 't2*tau3^-1*t1^-1*tau2*t3'}