U-tiling: UQC354
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc473 |
*22222 |
(2,4,2) |
{8,3} |
{3.8.8.3.3.8.8.3}{3.8.8} |
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
|
True
|
|
sqc1100
|
|
Fmmm |
69 |
orthorhombic |
{3,7} |
6 |
(2,4) |
|
G
|
False
|
|
sqc6520
|
|
Fddd |
70 |
orthorhombic |
{3,8} |
12 |
(2,5) |
|
D
|
False
|
|
sqc48
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
3 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {3.8.8.3.3.8.8.3}{3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.2:112:57 4 5 34 70 71 11 12 41 84 85 18 19 48 98 99 25 26 55 112 78 32 33 77 64 39 40 63 106 46 47 105 92 53 54 91 60 61 83 67 68 76 74 75 81 82 88 89 111 95 96 104 102 103 109 110,2 66 6 7 9 80 13 14 16 94 20 21 23 108 27 28 30 73 34 35 37 59 41 42 44 101 48 49 51 87 55 56 58 62 63 65 69 70 72 76 77 79 83 84 86 90 91 93 97 98 100 104 105 107 111 112,64 3 5 13 21 78 10 12 28 92 17 19 27 106 24 26 71 31 33 41 49 57 38 40 56 99 45 47 55 85 52 54 59 61 76 91 66 68 83 98 73 75 105 80 82 112 87 89 104 94 96 111 101 103 108 110:8 3 8 3 8 3 8 3 3 3 3 3,3 8 3 3 3 3 8 3 3 3 8 8> {(0, 103): 'tau3^-1*t1^-1*tau2', (2, 97): 't3', (0, 62): 't3', (2, 82): 'tau1', (2, 7): 't2', (0, 34): 't2^-1', (2, 61): 'tau1', (2, 28): 't2^-1', (2, 110): 't2*tau1*t3^-1', (2, 83): 't2^-1', (0, 13): 't2', (2, 103): 't2^-1*tau1^-1*t3', (0, 42): 'tau3^-1', (1, 72): 't2', (2, 62): 't3', (0, 49): 'tau2', (0, 6): 't3', (1, 9): 't2', (2, 63): 't3^-1', (0, 47): 't1', (0, 14): 'tau2^-1', (2, 104): 't2^-1', (1, 58): 't3', (0, 21): 'tau3', (0, 54): 't1', (2, 35): 't3^-1', (0, 110): 'tau3*t1*tau2^-1', (1, 65): 't3^-1', }