U-tiling: UQC5123
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
|
|
sqc824
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4} |
6 |
(4,7) |
|
G
|
False
|
|
sqc5279
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
12 |
(4,8) |
|
D
|
False
|
|
sqc5280
|
|
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
<102.2:96:25 3 5 66 67 9 11 36 37 15 17 90 91 21 23 48 27 29 78 79 33 35 39 41 54 55 45 47 85 51 53 57 59 96 73 63 65 69 71 84 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 96,49 4 5 54 55 56 57 34 35 24 73 16 17 78 79 80 81 46 47 85 28 29 90 91 92 93 48 61 40 41 66 67 68 69 52 53 94 95 84 64 65 82 83 96 76 77 88 89:8 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', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 59): 'tau1', (2, 53): 't3*tau2', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 54): 't3', (0, 53): 't3', (0, 47): 't1', (0, 35): 't1', (0, 36): 't1', (2, 29): 'tau3^-1*t2', (0, 24): 't1', (0, 30): 't2^-1', (0, 29): 't2^-1', (0, 18): 't2', (0, 17): 't2', (2, 17): 'tau3*t2^-1', (2, 12): 'tau3*t2^-1', (2, 0): 'tau2^-1*t3^-1', (0, 5): 't3', (2, 24): 'tau3^-1*t2', (0, 6): 't3', (2, 65): 't3^-1*tau2^-1', (2, 71): 'tau1^-1', (0, 71): 't3^-1*tau2^-1*t1*tau3*t2^-1'}