U-tiling: UQC2826
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2170 |
*222222 |
(2,7,5) |
{7,6} |
{4.4.4.3.4.4.4}{4.4.3.4.4.3} |
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
|
True
|
|
sqc4140
|
|
Pmmm |
47 |
orthorhombic |
{6,5} |
8 |
(2,7) |
|
G
|
False
|
|
sqc5681
|
|
I212121 |
24 |
orthorhombic |
{7,6} |
8 |
(2,8) |
|
D
|
False
|
|
sqc1027
|
|
P222 |
16 |
orthorhombic |
{6,7} |
4 |
(2,7) |
Topological data
| Vertex degrees | {7,6} |
| 2D vertex symbol | {4.4.4.3.4.4.4}{4.4.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<125.1:104:27 54 55 17 18 8 9 23 24 25 65 40 67 68 21 22 78 80 81 43 44 34 35 49 50 51 91 93 94 47 48 104 79 69 70 60 61 75 76 77 92 73 74 95 96 86 87 101 102 103 99 100,2 4 6 20 10 11 13 15 17 19 23 24 26 28 30 32 46 36 37 39 41 43 45 49 50 52 54 56 58 72 62 63 65 67 69 71 75 76 78 80 82 84 98 88 89 91 93 95 97 101 102 104,14 3 5 7 9 36 12 39 16 18 20 22 49 25 52 40 29 31 33 35 38 42 44 46 48 51 66 55 57 59 61 88 64 91 68 70 72 74 101 77 104 92 81 83 85 87 90 94 96 98 100 103:4 4 4 3 4 4 4 4 3 4 4 3 4 3,7 6 6 7 7 6 6 7> {(0, 100): 'tau2^-1*t3^-1', (2, 91): 't1^-1*tau3^-1*t2', (0, 94): 'tau2^-1*t3^-1', (0, 51): 't3*tau1^-1*t2^-1*tau3*t1', (0, 95): 'tau2^-1*t3^-1', (2, 51): 'tau2^-1*t1', (0, 62): 't2^-1*tau3', (0, 43): 'tau2^-1*t3^-1', (0, 101): 't1^-1*tau3^-1*t2', (2, 38): 't3', (0, 22): 't1^-1', (0, 3): 't1', (0, 12): 't2', (0, 14): 't1^-1', (2, 61): 't2^-1*tau1^-1', (1, 97): 't1^-1*tau3^-1*t2', (0, 48): 'tau2^-1*t3^-1', (0, 38): 't3*tau1^-1', (2, 90): 'tau1*t2', (2, 52): 't2^-1*tau3', (0, 63): 't2^-1*tau3', (0, 102): 't1^-1*tau3^-1*t2', (2, 77): 't2^-1*tau1^-1*t3*tau2', (0, 42): 'tau2^-1*t3^-1', (1, 58): 't2^-1*tau3', (2, 48): 'tau2^-1*t1', (0, 25): 'tau3', (0, 15): 't1^-1', (2, 35): 't3', (0, 91): 't1^-1', (0, 4): 't1', (2, 74): 't2^-1*tau1^-1*t3*tau2', }