U-tiling: UQC213
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc207 |
*22222 |
(2,4,2) |
{4,4} |
{4.8.8.4}{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
|
True
|
|
sqc4709
|
|
P4/mmm |
123 |
tetragonal |
{3,4} |
12 |
(2,4) |
G
|
False
|
|
sqc5289
|
|
I4122 |
98 |
tetragonal |
{4,4} |
12 |
(2,4) |
D
|
False
|
|
sqc853
|
|
P4222 |
93 |
tetragonal |
{4,4} |
6 |
(2,4) |
Topological data
Vertex degrees | {4,4} |
2D vertex symbol | {4.8.8.4}{8.8.8.8} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.3:96:13 3 10 11 18 19 9 24 15 22 23 21 37 27 46 47 42 49 33 58 59 54 39 64 65 61 45 66 51 70 71 67 57 72 63 69 85 75 82 83 90 91 81 96 87 94 95 93,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96,55 26 27 5 30 43 32 33 11 36 67 38 39 17 42 61 50 51 23 54 79 29 73 35 91 41 74 75 47 78 85 53 80 81 59 84 86 87 65 90 92 93 71 96 77 83 89 95:8 4 8 4 8 4 8 4,4 4 4 4 4 4 4 4 4 4 4 4> {(0, 93): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 51): 'tau3', (2, 20): 't1', (0, 95): 't1^-1*tau3^-1*t2', (0, 84): 't1*tau3*t2^-1', (2, 91): 't1^-1', (2, 71): 't1', (2, 12): 't1^-1', (2, 49): 't1^-1', (0, 45): 't3^-1', (0, 22): 't1', (0, 12): 't1^-1', (0, 57): 't2^-1', (0, 47): 't3^-1*tau2^-1', (0, 59): 't2^-1*tau3', (0, 36): 'tau2^-1*t3^-1', (2, 23): 't1', (0, 90): 'tau2^-1*t3^-1', (0, 48): 'tau3*t2^-1', (0, 82): 'tau1', (2, 92): 't1^-1', (0, 63): 'tau2', (0, 40): 'tau2^-1', (0, 94): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 75): 'tau1^-1', (0, 52): 'tau3', (0, 23): 't1', (2, 48): 't1^-1', (0, 89): 'tau2*t3', (0, 15): 't1^-1', (0, 46): 't3^-1', (0, 58): 't2^-1', }