U-tiling: UQC2918
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2282 |
*222222 |
(2,7,5) |
{5,4} |
{4.8.4.4.4}{4.4.8.8} |
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
|
|
sqc6590
|
|
Cmma |
67 |
orthorhombic |
{4,5} |
12 |
(2,7) |
|
G
|
False
|
|
sqc6588
|
|
C2/c |
15 |
monoclinic |
{4,5,5} |
12 |
(3,8) |
|
D
|
False
|
|
sqc1252
|
|
Cmmm |
65 |
orthorhombic |
{4,5} |
6 |
(2,6) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {4.8.4.4.4}{4.4.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.1:112:29 4 5 34 35 64 65 80 81 68 69 42 43 18 19 48 49 92 93 108 109 96 97 56 32 33 106 107 94 95 110 111 46 47 78 79 66 67 82 83 99 60 61 104 105 112 85 74 75 90 91 98 88 89 102 103,2 14 6 13 8 10 12 16 28 20 27 22 24 26 30 42 34 41 36 38 40 44 56 48 55 50 52 54 58 70 62 69 64 66 68 72 84 76 83 78 80 82 86 98 90 97 92 94 96 100 112 104 111 106 108 110,15 3 5 7 9 11 13 28 17 19 21 23 25 27 43 31 33 35 37 39 41 56 45 47 49 51 53 55 85 59 61 63 65 67 69 98 99 73 75 77 79 81 83 112 87 89 91 93 95 97 101 103 105 107 109 111:4 8 4 4 4 4 8 4 4 4 4 4,4 5 5 4 5 5 4 5 4 5 5 5> {(2, 97): 'tau1^-1', (0, 62): 't3*tau2*t1^-1*tau3^-1*t2', (0, 51): 't3^-1', (0, 8): 'tau2^-1*t3^-1', (2, 56): 'tau1', (0, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 10): 't3', (0, 22): 'tau3*t2^-1', (0, 34): 't1', (0, 47): 't1', (0, 24): 't2', (0, 36): 'tau3^-1*t2', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 48): 't1', (0, 61): 't3*tau2*t1^-1*tau3^-1*t2', (0, 38): 't2^-1', (0, 28): 't1', (0, 9): 't3', (0, 50): 'tau2*t3', (0, 63): 't3*tau2', (0, 21): 'tau3*t2^-1', (0, 52): 't3^-1', (0, 33): 't1', (0, 42): 't1', (0, 23): 't2', (2, 70): 'tau1^-1', (0, 35): 'tau3^-1*t2', (0, 89): 't2*tau3^-1*t1^-1*tau2*t3', (0, 56): 't3*tau2*t1^-1*tau3^-1*t2', (0, 37): 't2^-1', (2, 83): 'tau1^-1', (0, 49): 'tau2*t3', }