U-tiling: UQC3060
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2288 |
*4444 |
(2,6,6) |
{8,3} |
{4.8.8.4.3.4.8.8}{4.8.3} |
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
|
|
sqc6266
|
|
P4/mmm |
123 |
tetragonal |
{3,8} |
12 |
(2,6) |
|
G
|
False
|
|
sqc6267
|
|
I-4 |
82 |
tetragonal |
{8,3,3} |
12 |
(3,7) |
|
D
|
False
|
|
sqc6257
|
|
I-4m2 |
119 |
tetragonal |
{8,3} |
12 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.8.8.4.3.4.8.8}{4.8.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.2:112:15 16 31 32 89 90 9 10 95 96 41 42 45 46 103 104 23 24 109 110 55 56 57 58 47 48 37 38 53 54 71 72 51 52 87 88 75 76 65 66 81 82 97 98 101 102 79 80 111 112 99 100 93 94 107 108,29 3 5 7 36 11 14 13 43 17 19 21 50 25 28 27 31 33 35 39 42 41 45 47 49 53 56 55 85 59 61 63 92 67 70 69 99 73 75 77 106 81 84 83 87 89 91 95 98 97 101 103 105 109 112 111,2 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 98 100 102 104 106 108 110 112:4 8 8 4 3 8 4 3 4 4 3 3,8 3 8 3 3 3 8 3 8 3 3 3> {(0, 18): 't1^-1*tau2*t3', (1, 77): 't3*tau2*t3', (1, 42): 't1', (0, 55): 't1', (0, 96): 't3^-1', (0, 45): 'tau3^-1', (0, 111): 't3^-1*tau2^-1*t3^-1', (0, 59): 'tau1', (0, 100): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 19): 't1^-1*tau2*t3', (0, 30): 't2^-1', (0, 97): 't3^-1', (0, 42): 't1*tau2^-1*t3^-1', (0, 101): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 63): 't3', (1, 98): 't3^-1*tau2^-1*t3^-1', (0, 31): 't2^-1', (0, 43): 't1*tau2^-1*t3^-1', (0, 24): 't1^-1*tau2*t3', (1, 84): 't3^-1', (1, 49): 't1', (0, 54): 't1', (0, 44): 'tau3^-1', (0, 25): 't1^-1*tau2*t3', (0, 110): 't3^-1*tau2^-1*t3^-1', (0, 58): 'tau1', }