U-tiling: UQC5950
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc173 |
*2226 |
(3,3,1) |
{4,4,6} |
{5.5.5.5}{5.5.5.5}{5.5.5.5.5.5} |
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
|
|
sqc6983
|
|
Pmmm |
47 |
orthorhombic |
{3,4,6,4,4,4} |
14 |
(6,7) |
G
|
False
|
|
sqc7175
|
|
I212121 |
24 |
orthorhombic |
{4,4,6,4,4,4} |
14 |
(6,8) |
D
|
False
|
|
sqc1519
|
|
P222 |
16 |
orthorhombic |
{4,4,4,4,4,6} |
7 |
(6,7) |
Topological data
Vertex degrees | {4,4,6,4,4,4} |
2D vertex symbol | {5.5.5.5}{5.5.5.5}{5.5.5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.1:120:16 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 20 8 15 10 12 14 17 19 23 30 25 27 29 32 34 50 38 45 40 42 44 47 49 53 60 55 57 59 62 64 80 68 75 70 72 74 77 79 83 90 85 87 89 92 94 110 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 97 115 116 111 112:5 5 5 5 5 5 5 5 5 5 5 5,4 4 6 4 4 4 4 4 4 4 6 4 4 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', (1, 94): 't2^-1*tau3*t1', (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, 64): 't2^-1*tau3', (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', (2, 99): 't3*tau2', (0, 90): 't2^-1*tau3*t1', (2, 87): 't2^-1*tau1^-1*t3*tau2'}