U-tiling: UQC5865
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) |
G
|
False
|
|
sqc6843
|
|
Ibca |
73 |
orthorhombic |
{4,4,3} |
16 |
(3,5) |
D
|
False
|
|
sqc6839
|
|
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
<130.3:112:57 3 5 7 9 11 13 42 85 17 19 21 23 25 27 56 99 31 33 35 37 39 41 71 45 47 49 51 53 55 59 61 63 65 67 69 112 73 75 77 79 81 83 98 87 89 91 93 95 97 101 103 105 107 109 111,2 4 6 63 36 10 12 14 16 18 20 91 50 24 26 28 30 32 34 105 38 40 42 44 46 48 77 52 54 56 58 60 62 106 66 68 70 72 74 76 92 80 82 84 86 88 90 94 96 98 100 102 104 108 110 112,71 58 59 32 33 8 9 66 67 40 41 28 99 86 87 46 47 22 23 94 95 54 55 85 100 101 36 37 108 109 56 57 72 73 50 51 80 81 102 103 64 65 110 111 98 88 89 78 79 96 97 112 92 93 106 107:7 7 7 7 7 7 7 7,4 4 3 3 4 4 4 4 3 3 4 3 3 3 4 3> {(0, 56): 't3*tau2', (2, 56): 't3', (2, 52): 'tau2*t3', (2, 53): 't1', (2, 54): 't1', (2, 51): 'tau2*t3', (0, 42): 'tau2*t3', (1, 104): 't2^-1*tau3', (2, 40): 't1', (2, 37): 'tau3^-1*t2', (2, 38): 'tau3^-1*t2', (2, 39): 't1', (2, 28): 't2^-1', (1, 90): 't2*tau3^-1', (2, 24): 'tau3*t2^-1', (2, 23): 'tau3*t2^-1', (2, 14): 't2', (0, 14): 'tau3*t2^-1', (2, 9): 'tau2^-1*t3^-1', (2, 10): 'tau2^-1*t3^-1', (2, 0): 't3', (1, 76): 't3^-1*tau2^-1', (1, 62): 't3*tau2', (2, 109): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 110): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 111): 'tau1', (0, 98): 't2^-1*tau3', (2, 97): 'tau1^-1', (2, 95): 't2*tau3^-1*t1^-1*tau2*t3', (2, 82): 't3^-1*tau2^-1*t1*tau3*t2^-1'}