U-tiling: UQC3077
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2295 |
*4444 |
(2,6,6) |
{4,6} |
{8.4.3.8}{3.4.8.4.8.4} |
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
|
True
|
|
sqc6026
|
|
P-4m2 |
115 |
tetragonal |
{5,4} |
12 |
(2,6) |
|
G
|
False
|
|
sqc6552
|
|
I-4 |
82 |
tetragonal |
{6,4,4} |
12 |
(3,7) |
|
D
|
False
|
|
sqc6553
|
|
I-4m2 |
119 |
tetragonal |
{6,4} |
12 |
(2,6) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {8.4.3.8}{3.4.8.4.8.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:112:29 30 87 88 7 8 93 94 39 40 27 28 43 44 101 102 21 22 107 108 53 54 45 46 35 36 51 52 69 70 49 50 83 84 85 86 73 74 63 64 79 80 95 96 99 100 77 78 109 110 91 92 111 112 105 106,15 3 5 20 9 14 11 13 17 19 23 28 25 27 57 31 33 62 37 42 39 41 71 45 47 76 51 56 53 55 59 61 65 70 67 69 73 75 79 84 81 83 99 87 89 104 93 98 95 97 101 103 107 112 109 111,2 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 8 4 3 8 8 4 4 3 3 4 3,6 4 4 6 4 6 4 4 4 6 4 4> {(0, 29): 't2^-1', (0, 95): 't3^-1', (0, 55): 't1*tau2^-1*t3^-1', (0, 22): 't1^-1*tau2*t3', (0, 52): 't1', (0, 42): 'tau3^-1', (0, 23): 't1^-1*tau2*t3', (0, 108): 't3^-1*tau2^-1*t3^-1', (0, 56): 'tau1', (0, 16): 't1^-1*tau2*t3', (0, 53): 't1', (0, 43): 'tau3^-1', (0, 109): 't3^-1*tau2^-1*t3^-1', (1, 70): 't3*tau2*t1^-1', (0, 57): 'tau1', (0, 98): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 17): 't1^-1*tau2*t3', (0, 28): 't2^-1', (0, 94): 't3^-1', (1, 47): 't1*tau2^-1*t3^-1', (0, 54): 't1*tau2^-1*t3^-1', (0, 99): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', }