U-tiling: UQC5958
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2407 |
*222222 |
(6,7,2) |
{4,4,3,4,4,4} |
{10.10.10.10}{10.5.5.10}{10.5.5}... |
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
|
|
sqc6985
|
|
Pmmm |
47 |
orthorhombic |
{3,4,3,4,4,4} |
16 |
(6,7) |
G
|
False
|
|
sqc7177
|
|
I212121 |
24 |
orthorhombic |
{4,4,3,4,4,4} |
16 |
(6,8) |
D
|
False
|
|
sqc1546
|
|
P222 |
16 |
orthorhombic |
{3,4,4,4,4,4} |
8 |
(6,7) |
Topological data
Vertex degrees | {4,4,3,4,4,4} |
2D vertex symbol | {10.10.10.10}{10.5.5.10}{10.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.1:120:16 3 5 7 9 11 13 15 18 20 22 24 26 28 30 46 33 35 37 39 41 43 45 48 50 52 54 56 58 60 76 63 65 67 69 71 73 75 78 80 82 84 86 88 90 106 93 95 97 99 101 103 105 108 110 112 114 116 118 120,2 4 65 8 15 10 12 14 17 19 80 23 30 25 27 29 32 34 95 38 45 40 42 44 47 49 110 53 60 55 57 59 62 64 68 75 70 72 74 77 79 83 90 85 87 89 92 94 98 105 100 102 104 107 109 113 120 115 117 119,31 62 63 6 7 68 69 25 26 42 43 74 75 46 77 78 21 22 83 84 57 58 89 90 92 93 36 37 98 99 55 56 104 105 107 108 51 52 113 114 119 120 91 66 67 85 86 102 103 106 81 82 117 118 96 97 115 116 111 112:10 5 5 10 5 5 5 5 5 5,4 4 3 4 4 4 4 4 3 4 4 3 4 4 3 4> {(2, 56): 'tau2^-1*t1', (2, 57): 'tau2^-1*t1', (2, 58): 't3*tau1^-1*t2^-1*tau3*t1', (2, 59): 't3*tau1^-1*t2^-1*tau3*t1', (2, 54): 'tau2^-1*t3^-1', (2, 55): 'tau2^-1*t3^-1', (2, 44): 't3*tau1^-1', (2, 41): 't3', (2, 42): 't3', (2, 43): 't3*tau1^-1', (2, 28): 'tau3', (2, 29): 'tau3', (2, 24): 't1^-1', (0, 60): 't2^-1*tau3', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 13): 't2', (2, 14): 't2', (2, 10): 't1', (1, 79): 'tau3^-1', (2, 116): 'tau2^-1*t3^-1*tau1*t2', (2, 115): 'tau2^-1*t3^-1', (2, 105): 't1^-1', (2, 101): 'tau1*t2', (2, 102): 'tau1*t2', (1, 34): 't3*tau1^-1', (2, 99): 't3*tau2', (0, 90): 't2^-1*tau3*t1', (2, 87): 't2^-1*tau1^-1*t3*tau2', (1, 49): 't3*tau1^-1*t2^-1*tau3*t1', (1, 4): 't2'}