U-tiling: UQC5543
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2208 |
*222222 |
(5,7,2) |
{4,4,4,4,3} |
{9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.... |
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
|
|
sqc5869
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,4,3} |
14 |
(5,8) |
D
|
False
|
|
sqc14575
|
|
Pmmm |
47 |
orthorhombic |
{4,3,4,4,4} |
7 |
(5,7) |
Topological data
Vertex degrees | {4,4,4,4,3} |
2D vertex symbol | {9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.4.9}{9.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<127.1:104:14 3 5 7 9 11 64 65 16 18 20 22 24 77 78 40 29 31 33 35 37 90 91 42 44 46 48 50 103 104 66 55 57 59 61 63 68 70 72 74 76 92 81 83 85 87 89 94 96 98 100 102,2 4 6 8 22 12 13 15 17 19 21 25 26 28 30 32 34 48 38 39 41 43 45 47 51 52 54 56 58 60 74 64 65 67 69 71 73 77 78 80 82 84 86 100 90 91 93 95 97 99 103 104,27 54 55 17 18 32 33 10 11 38 26 40 67 68 45 46 23 24 51 80 81 43 44 36 37 52 93 94 49 50 79 69 70 84 85 62 63 90 78 92 97 98 75 76 103 95 96 88 89 104 101 102:9 4 4 9 4 4 9 9,4 4 4 4 3 4 4 4 3 4 4 3 4 3> {(2, 63): 't2^-1*tau1^-1', (2, 57): 't2^-1*tau1^-1', (2, 58): 't2^-1*tau1^-1', (0, 50): 't3*tau1^-1*t2^-1*tau3*t1', (0, 51): 't3*tau1^-1*t2^-1*tau3*t1', (0, 63): 't2^-1', (0, 52): 't2^-1*tau3', (2, 44): 'tau2^-1*t1', (2, 45): 'tau2^-1*t1', (2, 42): 'tau2^-1*t3^-1', (2, 43): 'tau2^-1*t3^-1', (2, 37): 't3', (1, 99): 't1^-1*tau3^-1*t2', (2, 32): 't3', (0, 37): 't3*tau1^-1', (0, 24): 'tau3', (0, 25): 'tau3', (2, 24): 't1^-1*tau2', (0, 38): 't3*tau1^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (1, 73): 'tau3^-1*t2', (2, 14): 't1^-1', (2, 15): 't1^-1', (0, 12): 't2', (2, 5): 't3^-1', (2, 102): 'tau2^-1*t3^-1*tau1*t2', (2, 103): 't1^-1*tau3^-1*t2', (2, 96): 'tau2^-1*t3^-1*tau1*t2', (2, 97): 'tau2^-1*t3^-1*tau1*t2', (0, 91): 't1^-1*tau3^-1*t2', (2, 94): 'tau2^-1*t3^-1', (2, 95): 'tau2^-1*t3^-1', (2, 91): 't1^-1', (2, 77): 'tau3^-1*t2'}