U-tiling: UQC2807
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2162 |
*222222 |
(2,7,5) |
{10,3} |
{4.4.3.4.4.4.4.3.4.4}{3.4.4} |
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
|
True
|
|
sqc559
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
4 |
(2,6) |
G
|
False
|
|
sqc5654
|
|
I212121 |
24 |
orthorhombic |
{3,10} |
8 |
(2,8) |
D
|
False
|
|
sqc1083
|
|
P222 |
16 |
orthorhombic |
{10,3} |
4 |
(2,7) |
Topological data
Vertex degrees | {10,3} |
2D vertex symbol | {4.4.3.4.4.4.4.3.4.4}{3.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<120.1:104:27 4 5 32 33 60 22 23 63 64 39 40 17 18 45 46 73 76 77 52 30 31 86 48 49 89 90 43 44 99 102 103 79 56 57 84 85 74 75 91 92 69 70 97 98 104 82 83 100 101 95 96,2 16 6 9 8 11 13 15 19 22 21 24 26 28 42 32 35 34 37 39 41 45 48 47 50 52 54 68 58 61 60 63 65 67 71 74 73 76 78 80 94 84 87 86 89 91 93 97 100 99 102 104,14 3 5 7 21 10 12 26 16 18 20 23 25 40 29 31 33 47 36 38 52 42 44 46 49 51 66 55 57 59 73 62 64 78 68 70 72 75 77 92 81 83 85 99 88 90 104 94 96 98 101 103:4 3 4 4 4 4 4 4 3 4 4 3 4 3,3 10 3 10 3 10 3 10> {(0, 103): 'tau2^-1*t3^-1*tau1*t2', (0, 51): 'tau2^-1*t1', (2, 20): 't1^-1', (0, 62): 't2^-1', (0, 96): 't1^-1', (0, 97): 't1^-1', (0, 100): 't1^-1*tau3^-1*t2', (0, 38): 't3', (0, 63): 't2^-1', (2, 103): 'tau2^-1*t3^-1', (2, 98): 'tau2^-1*t3^-1', (0, 23): 'tau3', (0, 49): 't3*tau1^-1*t2^-1*tau3*t1', (1, 67): 'tau3^-1*t2', (0, 60): 't2^-1*tau3', (2, 25): 't1^-1', (2, 78): 't2^-1*tau3*t1', (2, 51): 'tau2^-1*t3^-1', (0, 20): 't1^-1', (0, 24): 'tau3', (0, 36): 't3*tau1^-1', (0, 90): 'tau1*t2', (0, 61): 't2^-1*tau3', (0, 50): 't3*tau1^-1*t2^-1*tau3*t1', (2, 46): 'tau2^-1*t3^-1', (1, 80): 't2^-1*tau3*t1', (2, 52): 't2^-1*tau3', (0, 99): 't1^-1*tau3^-1*t2', (0, 37): 't3*tau1^-1', (0, 91): 't1^-1', }