U-tiling: UQC537
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc359 |
*22222 |
(2,3,3) |
{10,4} |
{4.3.4.3.4.4.3.4.3.4}{3.4.3.4} |
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
|
|
sqc1267
|
|
Fmmm |
69 |
orthorhombic |
{10,4} |
4 |
(2,3) |
G
|
False
|
|
sqc6387
|
|
Fddd |
70 |
orthorhombic |
{10,4} |
8 |
(2,4) |
D
|
True
|
|
sqc21
|
|
Pmmm |
47 |
orthorhombic |
{8,4} |
2 |
(2,3) |
Topological data
Vertex degrees | {10,4} |
2D vertex symbol | {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.2:112:57 30 31 6 7 71 37 38 13 14 85 44 45 20 21 99 51 52 27 28 78 34 35 64 41 42 106 48 49 92 55 56 79 80 62 63 72 73 69 70 76 77 83 84 107 108 90 91 100 101 97 98 104 105 111 112,2 4 19 34 14 9 11 26 41 16 18 48 28 23 25 55 30 32 47 42 37 39 54 44 46 56 51 53 58 60 89 83 77 65 67 96 76 84 72 74 103 79 81 110 86 88 111 105 93 95 104 112 100 102 107 109,64 3 5 7 78 10 12 14 92 17 19 21 106 24 26 28 71 31 33 35 57 38 40 42 99 45 47 49 85 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112:4 3 4 4 3 4 3 4 3 4 3 4 3 4 3 3,10 4 10 4 10 10 4 4> {(1, 88): 't3^-1', (0, 51): 't1', (2, 56): 't3', (2, 7): 't2', (1, 104): 't2^-1*tau1^-1*t3', (1, 103): 'tau3^-1*t1^-1*tau2', (1, 111): 't2*tau1*t3^-1', (0, 100): 'tau3^-1*t1^-1*tau2', (2, 28): 't2^-1', (1, 76): 'tau1^-1', (0, 42): 'tau3^-1', (1, 47): 't1', (0, 49): 'tau2', (1, 67): 't3^-1', (1, 54): 't1', (1, 110): 'tau3*t1*tau2^-1', (0, 43): 't1', (0, 86): 'tau2*t1^-1*tau3^-1', (2, 63): 't3^-1', (0, 14): 'tau2^-1', (0, 50): 't1', (1, 109): 't2', (0, 21): 'tau3', (0, 106): 'tau3*t1*tau2^-1', (1, 69): 'tau1^-1', (0, 99): 'tau3^-1*t1^-1*tau2', (0, 44): 't1', (1, 74): 't2', }