U-tiling: UQC5381
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2032 |
*222222 |
(5,6,2) |
{4,4,4,3,3} |
{10.10.10.10}{10.10.10.10}{10.10... |
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
|
|
sqc5235
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,3,3} |
14 |
(5,7) |
D
|
False
|
|
sqc820
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3,3,4} |
7 |
(5,6) |
Topological data
Vertex degrees | {4,4,4,3,3} |
2D vertex symbol | {10.10.10.10}{10.10.10.10}{10.10.10.10}{10.4.10}{10.10.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<116.1:96:13 3 5 7 9 11 24 15 17 19 21 23 37 27 29 31 33 35 48 39 41 43 45 47 61 51 53 55 57 59 72 63 65 67 69 71 85 75 77 79 81 83 96 87 89 91 93 95,2 4 6 8 12 34 59 14 16 18 20 24 46 71 26 28 30 32 36 83 38 40 42 44 48 95 50 52 54 56 60 82 62 64 66 68 72 94 74 76 78 80 84 86 88 90 92 96,25 50 51 16 17 30 31 10 11 60 37 62 63 42 43 22 23 72 74 75 40 41 34 35 84 86 87 46 47 96 73 64 65 78 79 58 59 85 90 91 70 71 88 89 82 83 94 95:10 4 4 10 10 10,4 4 4 3 3 4 3 3 4 3 3 4 3 3> {(2, 60): 't1', (0, 59): 't2^-1*tau3', (2, 62): 't1', (1, 82): 'tau1*t3^-1', (0, 60): 'tau3^-1*t2', (2, 61): 't1', (2, 53): 't2^-1*tau1^-1', (2, 54): 't2^-1*tau1^-1', (2, 47): 't3*tau1^-1*t2^-1*tau3*t1', (2, 40): 'tau2^-1*t3^-1', (2, 41): 'tau2^-1*t1', (2, 42): 'tau2^-1*t1', (2, 39): 'tau2^-1*t3^-1', (2, 35): 't3*tau1^-1', (2, 29): 't3', (2, 30): 't3', (1, 93): 'tau2^-1*t3^-1*tau1*t2', (1, 81): 'tau1*t2', (2, 23): 'tau3', (2, 16): 't1^-1', (2, 15): 't1^-1', (2, 11): 't2', (1, 58): 't2^-1', (1, 46): 't3*tau1^-1*t2^-1*tau3*t1', (2, 88): 'tau2^-1*t3^-1', (0, 95): 't1^-1*tau3^-1*t2', (2, 90): 'tau2^-1*t3^-1*tau1*t2', (2, 87): 'tau2^-1*t3^-1', (1, 21): 't1^-1*tau2', (1, 22): 'tau3', (1, 9): 't3^-1', (0, 72): 't2^-1*tau3*t1', (2, 65): 't2^-1*tau1^-1*t3*tau2'}