U-tiling: UQC305
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc5 |
*246 |
(1,1,1) |
{6} |
{4.4.4.4.4.4} |
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
|
|
sqc686
|
|
P4/mmm |
123 |
tetragonal |
{5,6} |
4 |
(2,3) |
|
G
|
False
|
|
sqc4881
|
|
I4122 |
98 |
tetragonal |
{6,6} |
8 |
(2,4) |
|
D
|
False
|
|
sqc784
|
|
P4222 |
93 |
tetragonal |
{6,6} |
4 |
(2,3) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.3:96:13 4 5 18 19 10 11 24 16 17 22 23 37 28 29 42 49 34 35 54 40 41 61 46 47 66 52 53 67 58 59 72 64 65 70 71 85 76 77 90 91 82 83 96 88 89 94 95,2 27 6 17 8 33 12 23 14 39 18 20 51 24 26 30 41 32 36 53 38 42 44 75 48 65 50 54 56 81 60 71 62 87 66 68 93 72 74 78 89 80 84 95 86 90 92 96,55 3 5 12 43 9 11 67 15 17 24 61 21 23 79 27 29 48 73 33 35 60 91 39 41 66 45 47 85 51 53 72 57 59 63 65 69 71 75 77 84 81 83 87 89 96 93 95:4 4 4 4 4 4 4 4 4 4 4 4,6 6 6 6 6 6 6 6> {(0, 29): 't3*tau2', (2, 53): 'tau3', (2, 47): 't3^-1', (2, 89): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 84): 't1*tau3*t2^-1', (0, 12): 't1^-1', (0, 5): 't1', (1, 64): 'tau2*t3', (0, 48): 'tau3*t2^-1', (1, 76): 't3^-1*tau2^-1', (2, 83): 'tau1', (1, 82): 't2^-1*tau3*t1', (2, 17): 't1^-1', (0, 95): 'tau2^-1*t3^-1', (0, 89): 't1*tau3*t2^-1', (0, 53): 'tau3*t2^-1', (2, 12): 't1^-1', (1, 50): 't1^-1', (1, 70): 'tau3^-1*t2', (2, 41): 'tau2^-1', (0, 36): 'tau2^-1*t3^-1', (0, 90): 'tau2^-1*t3^-1', (2, 59): 't2^-1', (1, 22): 't1', (2, 48): 't1^-1', (1, 92): 't1^-1', }