U-tiling: UQC212
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
|
False
|
|
sqc5531
|
bbc
|
P4/mmm |
123 |
tetragonal |
{4,4} |
12 |
(2,4) |
G
|
False
|
|
sqc5530
|
|
I4122 |
98 |
tetragonal |
{4,4} |
12 |
(2,4) |
D
|
False
|
|
sqc956
|
|
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
<3.1:96:25 3 58 59 18 31 9 46 47 24 37 15 70 71 49 21 64 65 27 82 83 42 33 76 77 54 39 94 95 73 45 66 51 88 89 79 57 72 85 63 91 69 75 90 81 96 87 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 96,13 8 9 5 12 19 11 20 21 17 24 23 37 44 45 29 48 49 56 57 35 60 62 63 41 66 61 47 68 69 53 72 67 59 65 71 85 80 81 77 84 91 83 92 93 89 96 95:8 4 8 4 8 8 4 4,4 4 4 4 4 4 4 4 4 4 4 4> {(0, 16): 't1^-1', (2, 91): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 51): 't1^-1', (0, 41): 'tau2^-1*t3^-1', (0, 18): 't1', (2, 89): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 14): 't1^-1', (0, 53): 'tau3*t2^-1', (2, 56): 't2^-1', (2, 18): 't1', (0, 52): 't1^-1', (2, 49): 'tau3', (2, 73): 'tau1^-1', (2, 43): 't3^-1', (2, 80): 'tau1', (2, 41): 'tau2^-1', (2, 53): 'tau3', (0, 5): 't1', (2, 61): 'tau2', (0, 90): 't1^-1', (2, 54): 't2^-1*tau3', (2, 59): 't2^-1', (0, 83): 't3*tau2', (2, 90): 't1^-1*tau3^-1*t2', (2, 19): 't1', (2, 84): 'tau2*t3', (2, 50): 'tau3', (2, 44): 't3^-1', (2, 17): 't1^-1', (0, 89): 't1*tau3*t2^-1', (0, 15): 't1^-1', (2, 62): 'tau2', (2, 92): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 29): 't3', (2, 83): 'tau1', (2, 55): 't2^-1', (2, 60): 'tau2*t3', }