U-tiling: UQC3402
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc512 |
*2244 |
(3,3,2) |
{12,3,4} |
{6.4.6.6.4.6.6.4.6.6.4.6}{6.4.4}... |
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
|
|
sqc6463
|
|
I41/amd |
141 |
tetragonal |
{12,3,4} |
12 |
(3,3) |
|
D
|
False
|
|
sqc6390
|
|
I41/amd |
141 |
tetragonal |
{12,3,4} |
12 |
(3,3) |
Topological data
| Vertex degrees | {12,3,4} |
| 2D vertex symbol | {6.4.6.6.4.6.6.4.6.6.4.6}{6.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.1:112:8 3 5 7 10 12 14 29 17 19 21 36 24 26 28 31 33 35 38 40 42 50 45 47 49 52 54 56 78 59 61 63 71 66 68 70 73 75 77 80 82 84 99 87 89 91 106 94 96 98 101 103 105 108 110 112,2 45 18 6 21 9 52 25 13 28 16 59 20 23 73 27 30 80 95 34 98 37 66 109 41 112 44 67 48 70 51 81 55 84 58 88 62 91 65 69 72 102 76 105 79 83 86 108 90 93 101 97 100 104 107 111,43 4 5 48 49 50 11 12 55 56 57 18 19 62 63 71 25 26 76 77 78 32 33 83 84 64 39 40 69 70 46 47 53 54 60 61 67 68 74 75 81 82 106 88 89 111 112 99 95 96 104 105 102 103 109 110:6 4 4 6 6 4 4 4 4 4 4 6,12 3 4 12 3 4 3 3 3 3 3 3> {(2, 28): 't3^-1*tau2^-1', (0, 56): 't3', (2, 63): 'tau3^-1*t2', (2, 56): 't3*tau2', (0, 63): 't2^-1', (0, 28): 't3^-1', (2, 21): 'tau3*t2^-1', (2, 49): 't1', (0, 105): 'tau1', (2, 105): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 42): 't1', (0, 98): 'tau1^-1', (0, 35): 't2^-1', (2, 98): 't2*tau3^-1*t1^-1*tau2*t3'}