U-tiling: UQC3401
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) |
|
P
|
True
|
|
sqc1016
|
|
P4/mmm |
123 |
tetragonal |
{10,3,4} |
6 |
(3,3) |
|
G
|
False
|
|
sqc6463
|
|
I41/amd |
141 |
tetragonal |
{12,3,4} |
12 |
(3,3) |
|
D
|
False
|
|
sqc1269
|
|
P-42m |
111 |
tetragonal |
{3,12,4} |
6 |
(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
<38.1:112:57 3 5 7 64 10 12 14 71 17 19 21 78 24 26 28 85 31 33 35 92 38 40 42 99 45 47 49 106 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112,2 45 18 6 21 9 52 25 13 28 16 24 20 23 27 30 38 46 34 49 37 53 41 56 44 48 51 55 58 101 74 62 77 65 108 81 69 84 72 80 76 79 83 86 94 102 90 105 93 109 97 112 100 104 107 111,8 4 5 48 49 11 12 55 56 29 18 19 27 28 36 25 26 32 33 41 42 39 40 50 46 47 53 54 64 60 61 104 105 67 68 111 112 85 74 75 83 84 92 81 82 88 89 97 98 95 96 106 102 103 109 110:6 4 6 4 6 6 4 4 4 4 4 4,12 3 4 3 3 3 12 3 4 3 3 3> {(2, 54): 't3^-1*tau2^-1*t1', (2, 55): 't3^-1*tau2^-1*t1', (1, 104): 'tau1^-1', (1, 107): 't3^-1*tau2^-1*t1', (1, 108): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 111): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 101): 'tau1^-1', (2, 35): 't3*tau2*t1^-1', (1, 83): 'tau3^-1', (1, 73): 't2^-1', (1, 76): 't2^-1', (1, 66): 'tau3', (1, 48): 't3^-1', (1, 51): 't3^-1*tau2^-1*t1', (1, 52): 't3^-1*tau2^-1*t3^-1', (1, 55): 't3^-1*tau2^-1*t3^-1', (2, 110): 't3^-1*tau2^-1*t1', (2, 111): 't3^-1*tau2^-1*t1', (1, 45): 't3^-1', (1, 24): 't1', (1, 27): 't1', (2, 91): 't3*tau2*t1^-1'}