U-tiling: UQC400
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc480 |
*22222 |
(2,4,2) |
{4,3} |
{6.8.8.6}{6.8.8} |
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
|
|
sqc6867
|
|
P4/mmm |
123 |
tetragonal |
{3,4} |
16 |
(2,4) |
|
G
|
False
|
|
sqc6869
|
|
I4122 |
98 |
tetragonal |
{3,4} |
16 |
(2,5) |
|
D
|
False
|
|
sqc1372
|
|
P4222 |
93 |
tetragonal |
{4,3} |
8 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {6.8.8.6}{6.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.4:112:8 4 5 20 70 11 12 27 56 22 18 19 84 25 26 77 50 32 33 48 98 64 39 40 62 91 71 46 47 112 53 54 76 78 60 61 105 67 68 83 74 75 81 82 92 88 89 104 95 96 111 106 102 103 109 110,2 17 6 7 9 24 13 14 16 20 21 23 27 28 30 45 34 35 37 59 41 42 44 48 49 51 73 55 56 58 62 63 65 80 69 70 72 76 77 79 83 84 86 101 90 91 93 108 97 98 100 104 105 107 111 112,15 3 5 34 35 22 10 12 41 42 17 19 48 49 24 26 62 63 43 31 33 57 38 40 45 47 71 52 54 90 91 59 61 78 66 68 97 98 73 75 104 105 80 82 111 112 99 87 89 106 94 96 101 103 108 110:8 6 6 8 6 8 6 8,3 4 3 4 4 4 3 3 3 4 3 4 4 4 3 3> {(0, 103): 'tau2*t3', (2, 14): 't1^-1', (2, 56): 'tau3*t2^-1', (0, 84): 'tau1^-1', (0, 12): 't1^-1', (2, 105): 'tau2^-1*t3^-1', (2, 61): 't1^-1', (0, 63): 't2^-1', (1, 16): 't1^-1', (0, 82): 'tau3^-1*t2', (0, 42): 'tau2^-1', (2, 62): 't1^-1', (1, 107): 'tau2^-1*t3^-1', (0, 62): 't1^-1', (0, 105): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 84): 't2*tau3^-1*t1^-1', (0, 20): 't1^-1', (2, 82): 't1', (0, 56): 'tau3', (0, 28): 't3', (1, 58): 'tau3*t2^-1', (0, 21): 't1', (1, 100): 't1*tau3*t2^-1', (0, 54): 't3^-1*tau2^-1', (2, 42): 'tau2^-1*t3^-1', (0, 110): 't1^-1*tau3^-1*t2', (1, 30): 't3*tau2', (2, 83): 't1', }