U-tiling: UQC401
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc480 |
*22222 |
(2,4,2) |
{4,3} |
{6.8.8.6}{6.8.8} |
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
|
|
sqc1431
|
|
Fmmm |
69 |
orthorhombic |
{3,4} |
8 |
(2,4) |
|
G
|
False
|
|
sqc6957
|
|
Fddd |
70 |
orthorhombic |
{3,4} |
16 |
(2,5) |
|
D
|
False
|
|
sqc1427
|
|
Cmma |
67 |
orthorhombic |
{4,3} |
8 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {6.8.8.6}{6.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.1:112:64 4 5 62 14 78 11 12 76 92 18 19 90 28 106 25 26 104 71 32 33 83 42 57 39 40 69 99 46 47 111 56 85 53 54 97 60 61 77 67 68 84 74 75 81 82 88 89 105 95 96 112 102 103 109 110,2 17 6 7 9 24 13 14 16 20 21 23 27 28 30 45 34 35 37 52 41 42 44 48 49 51 55 56 58 87 62 63 65 94 69 70 72 101 76 77 79 108 83 84 86 90 91 93 97 98 100 104 105 107 111 112,15 3 5 34 35 22 10 12 41 42 17 19 48 49 24 26 55 56 43 31 33 50 38 40 45 47 52 54 85 59 61 83 84 92 66 68 76 77 99 73 75 106 80 82 87 89 111 112 94 96 104 105 101 103 108 110:8 6 8 8 8 6 6 6,3 4 3 4 4 4 3 3 3 4 3 4 3 3 4 4> {(2, 97): 'tau2^-1*t1*tau3', (2, 27): 't1^-1', (2, 47): 't1', (2, 20): 't1^-1', (0, 62): 'tau1', (1, 93): 't3', (2, 105): 't2', (2, 98): 't2^-1', (0, 26): 'tau3', (2, 54): 't1', (0, 19): 'tau2^-1', (0, 63): 't3^-1', (2, 110): 'tau3*t1*tau2^-1', (0, 97): 't3*tau1^-1*t2^-1', (0, 56): 't3', (1, 107): 't2', (2, 56): 't3', (2, 111): 'tau3*t1*tau2^-1', (2, 63): 't3^-1', (0, 47): 'tau3^-1', (1, 86): 't3^-1', (0, 69): 'tau1^-1', (0, 90): 't3^-1*tau1*t2', (0, 7): 't2', (2, 96): 'tau2^-1*t1*tau3', (0, 28): 't2^-1', (1, 100): 't2^-1', (0, 54): 'tau2', }