U-tiling: UQC3206
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2423 |
*222222 |
(2,8,6) |
{4,8} |
{4.4.4.4}{4.4.4.4.4.4.4.4} |
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
|
|
sqc7095
|
|
Cmma |
67 |
orthorhombic |
{7,4} |
12 |
(2,8) |
|
G
|
False
|
|
sqc7568
|
|
C2/c |
15 |
monoclinic |
{8,4,4} |
12 |
(3,9) |
|
D
|
False
|
|
sqc7542
|
|
Imma |
74 |
orthorhombic |
{8,4} |
12 |
(2,8) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<44.1:128:33 66 67 84 85 8 9 90 91 76 77 46 47 48 49 98 99 116 117 24 25 122 123 108 109 62 63 64 114 115 100 101 40 41 106 107 124 125 82 83 68 69 56 57 74 75 92 93 113 72 73 126 127 128 97 88 89 110 111 112 104 105 120 121,2 4 6 16 10 15 12 14 18 20 22 32 26 31 28 30 34 36 38 48 42 47 44 46 50 52 54 64 58 63 60 62 66 68 70 80 74 79 76 78 82 84 86 96 90 95 92 94 98 100 102 112 106 111 108 110 114 116 118 128 122 127 124 126,17 3 5 7 9 11 13 15 32 19 21 23 25 27 29 31 49 35 37 39 41 43 45 47 64 51 53 55 57 59 61 63 97 67 69 71 73 75 77 79 112 113 83 85 87 89 91 93 95 128 99 101 103 105 107 109 111 115 117 119 121 123 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,8 4 4 8 4 4 8 4 8 4 4 4> {(0, 51): 't3^-1', (2, 95): 'tau1^-1', (0, 41): 't2^-1', (0, 18): 'tau3*t2^-1', (0, 20): 't2', (0, 1): 'tau2^-1*t3^-1', (0, 10): 't3', (0, 32): 't1', (0, 3): 't3', (0, 57): 't3^-1', (0, 34): 'tau3^-1*t2', (0, 112): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 36): 't2^-1', (0, 17): 'tau3*t2^-1', (0, 26): 't2', (0, 48): 't1', (2, 96): 'tau1^-1', (0, 19): 't2', (2, 111): 'tau1^-1', (0, 9): 't3', (0, 50): 'tau2*t3', (0, 96): 't2*tau3^-1*t1^-1*tau2*t3', (0, 52): 't3^-1', (0, 33): 'tau3^-1*t2', (0, 42): 't2^-1', (2, 112): 'tau1', (0, 35): 't2^-1', (0, 25): 't2', (0, 2): 'tau2^-1*t3^-1', (0, 4): 't3', (0, 49): 'tau2*t3', (0, 58): 't3^-1', }