U-tiling: UQC5995
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2413 |
*222222 |
(6,7,2) |
{4,4,4,4,6,4} |
{9.9.9.9}{9.9.9.9}{9.9.9.9}{9.3.... |
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
|
|
sqc7162
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,4,6,4} |
14 |
(6,8) |
D
|
False
|
|
sqc1493
|
|
Pmmm |
47 |
orthorhombic |
{4,6,4,4,4,4} |
7 |
(6,7) |
Topological data
Vertex degrees | {4,4,4,4,6,4} |
2D vertex symbol | {9.9.9.9}{9.9.9.9}{9.9.9.9}{9.3.3.9}{9.3.3.9.3.3}{3.3.3.3} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.1:120:16 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 6 8 24 12 15 14 17 19 21 23 27 30 29 32 34 36 38 54 42 45 44 47 49 51 53 57 60 59 62 64 66 68 84 72 75 74 77 79 81 83 87 90 89 92 94 96 98 114 102 105 104 107 109 111 113 117 120 119,31 62 63 19 20 36 37 10 11 42 43 74 75 46 77 78 51 52 25 26 57 58 89 90 92 93 49 50 40 41 104 105 107 108 55 56 119 120 91 79 80 96 97 70 71 102 103 106 111 112 85 86 117 118 109 110 100 101 115 116:9 3 3 9 3 3 9 3 3 9 3 3,4 4 4 4 6 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', (1, 113): 't1^-1*tau3^-1*t2', (2, 48): 'tau2^-1*t3^-1', (2, 49): 'tau2^-1*t3^-1', (2, 50): 'tau2^-1*t1', (2, 51): 'tau2^-1*t1', (2, 44): 't3*tau1^-1', (2, 41): 't3', (2, 42): 't3', (2, 43): 't3*tau1^-1', (2, 36): 't3', (2, 35): 't3', (2, 28): 'tau3', (2, 29): 'tau3', (0, 60): 't2^-1*tau3', (1, 83): 'tau3^-1*t2', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 13): 't2', (2, 14): 't2', (2, 116): 'tau2^-1*t3^-1*tau1*t2', (2, 117): 'tau2^-1*t3^-1*tau1*t2', (2, 108): 'tau2^-1*t3^-1', (2, 109): 'tau2^-1*t3^-1', (2, 110): 'tau2^-1*t3^-1*tau1*t2', (2, 105): 't1^-1', (2, 101): 'tau1*t2', (2, 102): 'tau1*t2', (2, 96): 'tau1*t2', (0, 90): 't2^-1*tau3*t1', (2, 95): 'tau1*t2', (2, 81): 't2^-1*tau1^-1*t3*tau2'}