U-tiling: UQC3168
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2401 |
*222222 |
(2,7,6) |
{4,7} |
{4.4.6.4}{6.4.4.4.4.4.4} |
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
|
True
|
|
sqc6306
|
|
P4/mmm |
123 |
tetragonal |
{6,4} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7015
|
|
I212121 |
24 |
orthorhombic |
{7,4,4} |
12 |
(3,8) |
|
D
|
False
|
|
sqc1481
|
|
P222 |
16 |
orthorhombic |
{4,7} |
6 |
(2,7) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.6.4}{6.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.1:120:31 62 63 19 20 8 9 25 26 42 43 74 75 46 77 78 23 24 57 58 89 90 92 93 49 50 38 39 55 56 104 105 107 108 53 54 119 120 91 79 80 68 69 85 86 102 103 106 83 84 117 118 109 110 98 99 115 116 113 114,2 4 6 22 10 15 12 14 17 19 21 25 30 27 29 32 34 36 52 40 45 42 44 47 49 51 55 60 57 59 62 64 66 82 70 75 72 74 77 79 81 85 90 87 89 92 94 96 112 100 105 102 104 107 109 111 115 120 117 119,16 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 99 101 103 105 108 110 112 114 116 118 120:4 4 4 6 4 4 4 4 4 4 6 4 4 4,7 4 4 7 4 4 7 4 4 7 4 4> {(0, 16): 't1^-1', (0, 29): 'tau3', (0, 115): 'tau2^-1*t3^-1', (0, 41): 't3', (0, 117): 'tau2^-1*t3^-1*tau1*t2', (0, 43): 't3*tau1^-1', (1, 81): 'tau3^-1*t2', (0, 10): 't1', (0, 55): 'tau2^-1*t3^-1', (0, 109): 'tau2^-1*t3^-1', (0, 102): 'tau1*t2', (0, 3): 't1', (0, 57): 'tau2^-1*t1', (0, 24): 't1^-1', (1, 111): 't1^-1*tau3^-1*t2', (0, 59): 't3*tau1^-1*t2^-1*tau3*t1', (0, 17): 't1^-1', (2, 90): 't2^-1*tau3*t1', (0, 105): 't1^-1', (0, 48): 'tau2^-1*t3^-1', (0, 14): 't2', (0, 19): 't1^-1', (0, 28): 'tau3', (0, 108): 'tau2^-1*t3^-1', (0, 116): 'tau2^-1*t3^-1*tau1*t2', (0, 42): 't3', (0, 13): 't2', (0, 54): 'tau2^-1*t3^-1', (0, 99): 't3*tau2', (0, 44): 't3*tau1^-1', (0, 56): 'tau2^-1*t1', (0, 101): 'tau1*t2', (2, 60): 't2^-1*tau3', (0, 49): 'tau2^-1*t3^-1', (0, 58): 't3*tau1^-1*t2^-1*tau3*t1', }