U-tiling: UQC5992
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) |
|
P
|
False
|
|
sqc1492
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,6,4,4} |
7 |
(6,7) |
|
G
|
False
|
|
sqc7303
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,6,4} |
14 |
(6,8) |
|
D
|
False
|
|
sqc7326
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,6,4} |
14 |
(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
<39.3:120:61 3 5 7 9 11 13 15 91 18 20 22 24 26 28 30 106 33 35 37 39 41 43 45 76 48 50 52 54 56 58 60 63 65 67 69 71 73 75 78 80 82 84 86 88 90 93 95 97 99 101 103 105 108 110 112 114 116 118 120,2 4 6 8 69 12 15 14 17 19 21 23 99 27 30 29 32 34 36 38 114 42 45 44 47 49 51 53 84 57 60 59 62 64 66 68 72 75 74 77 79 81 83 87 90 89 92 94 96 98 102 105 104 107 109 111 113 117 120 119,76 62 63 34 35 21 22 10 11 27 28 44 45 106 92 93 49 50 25 26 59 60 91 107 108 51 52 40 41 57 58 61 77 78 55 56 109 110 96 97 70 71 102 103 119 120 94 95 111 112 85 86 117 118 104 105 100 101 115 116:9 3 9 3 9 3 9 3 3 3 3 3,4 4 4 4 6 4 4 4 6 4 4 4 4 4> {(2, 60): 't3', (0, 60): 't3*tau2', (2, 59): 't1', (1, 113): 't2^-1*tau3', (0, 45): 'tau2*t3', (2, 44): 't1', (2, 43): 't1', (1, 98): 't2*tau3^-1', (2, 30): 't2^-1', (0, 30): 'tau3^-1*t2', (2, 58): 't1', (1, 83): 't3^-1*tau2^-1', (2, 15): 't2', (0, 15): 'tau3*t2^-1', (2, 0): 't3', (2, 116): 'tau1', (2, 117): 'tau1', (2, 118): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 119): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 110): 'tau1', (2, 104): 't2*tau3^-1*t1^-1*tau2*t3', (2, 101): 'tau1^-1', (2, 102): 'tau1^-1', (2, 103): 't2*tau3^-1*t1^-1*tau2*t3', (2, 96): 'tau1^-1', (2, 95): 'tau1^-1', (2, 81): 'tau1^-1', (1, 8): 'tau2^-1*t3^-1'}