U-tiling: UQC5868
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc553 |
2*222 |
(3,4,1) |
{4,4,3} |
{7.7.7.7}{7.7.7.7}{7.7.7} |
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
|
|
sqc6593
|
|
P42/nnm |
134 |
tetragonal |
{4,4,3} |
16 |
(3,4) |
|
G
|
False
|
|
sqc6614
|
|
Ibca |
73 |
orthorhombic |
{4,4,3} |
16 |
(3,5) |
|
D
|
False
|
|
sqc6615
|
|
I41/amd |
141 |
tetragonal |
{4,4,3} |
16 |
(3,4) |
Topological data
| Vertex degrees | {4,4,3,3,4,4} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.7.7}{7.7.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<130.1:112:15 3 5 7 9 11 13 84 17 19 21 23 25 27 112 43 31 33 35 37 39 41 98 45 47 49 51 53 55 70 85 59 61 63 65 67 69 99 73 75 77 79 81 83 87 89 91 93 95 97 101 103 105 107 109 111,2 4 6 21 78 10 12 14 16 18 20 106 24 26 28 30 32 34 49 92 38 40 42 44 46 48 64 52 54 56 58 60 62 91 66 68 70 72 74 76 105 80 82 84 86 88 90 94 96 98 100 102 104 108 110 112,29 58 59 74 75 8 9 24 25 40 41 70 43 86 87 102 103 22 23 54 55 98 100 101 88 89 36 37 52 53 112 72 73 60 61 50 51 84 99 64 65 94 95 110 111 85 78 79 108 109 96 97 92 93 106 107:7 7 7 7 7 7 7 7,4 4 3 3 4 4 4 4 3 4 3 3 3 3 4 3> {(2, 60): 't3', (0, 56): 'tau1', (2, 56): 't3*tau2*t1^-1*tau3^-1*t2', (2, 57): 't3*tau2', (2, 58): 't3*tau2', (2, 59): 't3', (0, 55): 't3^-1', (2, 44): 'tau2*t3', (0, 41): 't2^-1', (2, 42): 't1', (2, 43): 'tau2*t3', (2, 32): 't2^-1', (2, 28): 't1', (0, 27): 't2', (2, 30): 'tau3^-1*t2', (2, 31): 't2^-1', (2, 16): 'tau3*t2^-1', (2, 17): 't2', (2, 18): 't2', (2, 15): 'tau3*t2^-1', (1, 77): 't3^-1', (1, 76): 'tau1^-1', (0, 13): 't3', (2, 4): 't3', (2, 3): 't3', (1, 63): 't3', (1, 62): 'tau1', (2, 108): 'tau1', (2, 107): 'tau1', (0, 98): 'tau1', (1, 35): 't2^-1', (2, 99): 't2^-1*tau3', (2, 93): 'tau1^-1', (2, 94): 'tau1^-1', (2, 84): 't2*tau3^-1*t1^-1*tau2*t3', (1, 21): 't2'}