U-tiling: UQC3034
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2273 |
*222222 |
(2,6,6) |
{6,4} |
{4.6.3.4.4.4}{3.6.3.6} |
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
|
|
sqc1211
|
|
Pmmm |
47 |
orthorhombic |
{6,4} |
5 |
(2,5) |
|
G
|
False
|
|
sqc6447
|
|
I212121 |
24 |
orthorhombic |
{4,6,6} |
10 |
(3,7) |
|
D
|
False
|
|
sqc1328
|
|
P222 |
16 |
orthorhombic |
{6,4} |
5 |
(2,6) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {4.6.3.4.4.4}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.1:112:3 4 19 20 63 64 37 38 25 26 69 70 17 18 77 78 51 52 83 84 31 32 47 48 91 92 53 54 97 98 45 46 105 106 111 112 59 60 75 76 93 94 81 82 73 74 107 108 87 88 103 104 109 110 101 102,15 30 5 14 7 9 11 13 44 19 28 21 23 25 27 43 33 42 35 37 39 41 47 56 49 51 53 55 71 86 61 70 63 65 67 69 100 75 84 77 79 81 83 99 89 98 91 93 95 97 103 112 105 107 109 111,2 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 98 100 102 104 106 108 110 112:3 6 4 4 4 4 6 4 3 4 4 3 4 3,4 6 6 6 6 4 6 6 6 6> {(0, 103): 't1^-1*tau3^-1*t2', (0, 51): 'tau2^-1*t1', (0, 62): 't2^-1', (0, 107): 'tau2^-1*t3^-1*tau1*t2', (0, 34): 't3*tau1^-1', (0, 26): 't1^-1', (0, 48): 't3*tau1^-1*t2^-1*tau3*t1', (1, 99): 't1^-1', (0, 92): 'tau1*t2', (0, 63): 't2^-1', (0, 52): 'tau2^-1*t3^-1', (0, 35): 't3*tau1^-1', (0, 108): 'tau2^-1*t3^-1', (0, 27): 't1^-1', (0, 49): 't3*tau1^-1*t2^-1*tau3*t1', (1, 98): 't1^-1*tau3^-1*t2', (0, 93): 'tau1*t2', (0, 60): 't2^-1*tau3', (0, 53): 'tau2^-1*t3^-1', (0, 20): 'tau3', (0, 109): 'tau2^-1*t3^-1', (1, 70): 'tau3^-1*t2', (0, 24): 't1^-1', (0, 36): 't3', (0, 61): 't2^-1*tau3', (0, 102): 't1^-1*tau3^-1*t2', (0, 50): 'tau2^-1*t1', (0, 21): 'tau3', (0, 106): 'tau2^-1*t3^-1*tau1*t2', (0, 25): 't1^-1', (0, 37): 't3', }