U-tiling: UQC3051
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2281 |
*4444 |
(2,6,6) |
{5,4} |
{8.4.3.8.8}{3.4.4.4} |
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
|
False
|
|
sqc6589
|
|
P-4m2 |
115 |
tetragonal |
{4,5} |
12 |
(2,6) |
|
G
|
False
|
|
sqc6582
|
|
I-4 |
82 |
tetragonal |
{4,5,5} |
12 |
(3,7) |
|
D
|
False
|
|
sqc6700
|
|
I-4m2 |
119 |
tetragonal |
{4,5} |
12 |
(2,6) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {8.4.3.8.8}{3.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:112:29 30 5 6 35 36 93 94 39 40 27 28 43 44 19 20 49 50 107 108 53 54 33 34 51 52 69 70 47 48 83 84 85 86 61 62 91 92 79 80 95 96 99 100 75 76 105 106 109 110 89 90 111 112 103 104,15 3 18 7 14 9 11 13 17 21 28 23 25 27 57 31 60 35 42 37 39 41 71 45 74 49 56 51 53 55 59 63 70 65 67 69 73 77 84 79 81 83 99 87 102 91 98 93 95 97 101 105 112 107 109 111,2 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 4 3 8 8 8 4 3 3 4 4 3,4 5 5 4 5 4 5 5 5 4 5 5> {(0, 29): 't2^-1', (0, 95): 't3^-1', (0, 62): 'tau1', (0, 55): 't1*tau2^-1*t3^-1', (0, 22): 't1^-1*tau2*t3', (1, 73): 't3*tau2*t1^-1', (0, 34): 't2^-1', (0, 48): 'tau3^-1', (0, 63): 'tau1', (0, 52): 't1', (0, 42): 'tau3^-1', (0, 23): 't1^-1*tau2*t3', (0, 35): 't2^-1', (0, 108): 't3^-1*tau2^-1*t3^-1', (0, 56): 'tau1', (0, 49): 'tau3^-1', (0, 105): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 53): 't1', (0, 43): 'tau3^-1', (0, 109): 't3^-1*tau2^-1*t3^-1', (1, 70): 't3*tau2*t1^-1', (0, 76): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 57): 'tau1', (0, 98): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 28): 't2^-1', (0, 94): 't3^-1', (0, 54): 't1*tau2^-1*t3^-1', (0, 99): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', }