U-tiling: UQC3470
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc551 |
*22222 |
(3,3,2) |
{4,3,4} |
{10.10.10.10}{10.4.10}{10.4.10.4} |
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
|
|
sqc6960
|
|
I4122 |
98 |
tetragonal |
{4,3,4} |
16 |
(3,4) |
|
D
|
False
|
|
sqc1258
|
|
P4222 |
93 |
tetragonal |
{3,4,4} |
8 |
(3,3) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {10.10.10.10}{10.4.10}{10.4.10.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.4:112:15 3 5 7 22 10 12 14 17 19 21 24 26 28 43 31 33 35 57 38 40 42 45 47 49 71 52 54 56 59 61 63 78 66 68 70 73 75 77 80 82 84 99 87 89 91 106 94 96 98 101 103 105 108 110 112,2 4 68 20 35 9 11 54 27 42 16 18 82 49 23 25 75 63 30 32 96 48 37 39 89 62 44 46 110 51 53 76 91 58 60 103 65 67 83 98 72 74 105 79 81 112 86 88 104 93 95 111 100 102 107 109,8 16 17 6 7 23 24 13 14 22 20 21 27 28 50 44 45 34 35 64 58 59 41 42 71 48 49 72 73 55 56 78 62 63 79 80 69 70 76 77 83 84 92 100 101 90 91 107 108 97 98 106 104 105 111 112:10 4 10 4 10 10 4 4,4 3 4 3 4 4 4 4 3 4 3 3 3 4 3 3> {(0, 56): 'tau3*t2^-1', (2, 63): 't2^-1', (2, 56): 'tau3', (2, 42): 'tau2^-1', (2, 49): 't3^-1', (2, 50): 't3^-1*tau2^-1', (2, 51): 't3^-1*tau2^-1', (0, 42): 'tau2^-1*t3^-1', (2, 100): 'tau2*t3', (1, 111): 't1^-1', (1, 110): 't1^-1*tau3^-1*t2', (1, 103): 'tau2*t3', (1, 102): 't1', (2, 23): 't1', (1, 81): 't1', (2, 21): 't1', (1, 82): 'tau3^-1*t2', (1, 75): 'tau2*t3', (2, 8): 't1^-1', (0, 14): 't1^-1', (1, 62): 't1^-1', (2, 105): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 106): 't1^-1*tau3^-1*t2', (2, 107): 't1^-1*tau3^-1*t2', (0, 98): 't1*tau3*t2^-1', (2, 99): 'tau2*t3', (0, 91): 't3*tau2', (2, 91): 'tau1', (2, 78): 'tau3^-1*t2', (1, 12): 't1^-1', (2, 65): 't2^-1*tau3'}