U-tiling: UQC3413
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc519 |
*2244 |
(3,3,2) |
{3,3,4} |
{12.8.12}{12.8.8}{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
|
|
sqc6971
|
|
P4/nmm |
129 |
tetragonal |
{3,3,4} |
18 |
(3,3) |
|
G
|
False
|
|
sqc6974
|
|
I41/a |
88 |
tetragonal |
{3,3,4} |
18 |
(3,4) |
|
D
|
False
|
|
sqc6977
|
|
I41/amd |
141 |
tetragonal |
{3,3,4} |
18 |
(3,3) |
Topological data
| Vertex degrees | {3,3,4} |
| 2D vertex symbol | {12.8.12}{12.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<41.1:112:43 3 5 7 50 10 12 14 57 17 19 21 71 24 26 28 78 31 33 35 64 38 40 42 45 47 49 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 106 87 89 91 99 94 96 98 101 103 105 108 110 112,2 17 11 6 49 9 24 13 56 16 32 20 63 23 39 27 77 30 94 34 84 37 108 41 70 44 66 53 48 51 80 55 58 87 81 62 65 74 69 72 101 76 79 83 86 102 90 112 93 109 97 105 100 104 107 111,8 4 5 20 21 11 12 27 28 29 18 19 36 25 26 32 33 97 98 39 40 111 112 50 46 47 69 70 53 54 83 84 78 60 61 90 91 71 67 68 74 75 104 105 81 82 99 88 89 106 95 96 102 103 109 110:12 8 12 8 8 8,3 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3> {(2, 28): 't3^-1', (1, 59): 't3', (2, 63): 't2^-1', (2, 56): 't3', (1, 31): 't3^-1', (1, 62): 't3*tau2', (2, 84): 'tau1', (1, 69): 'tau3^-1*t2', (1, 83): 'tau2*t3', (1, 55): 't1', (1, 73): 't2', (1, 104): 't2*tau3^-1*t1^-1*tau2*t3', (2, 105): 'tau1', (1, 108): 'tau1', (1, 111): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 48): 't1', (1, 38): 't2^-1', (1, 101): 'tau1^-1', (1, 76): 't2*tau3^-1', (2, 35): 't2^-1'}