U-tiling: UQC3250
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2448 |
*222222 |
(2,8,7) |
{6,3} |
{4.8.4.4.4.4}{4.4.8} |
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
|
|
sqc8705
|
|
Cmma |
67 |
orthorhombic |
{3,6} |
16 |
(2,8) |
|
G
|
False
|
|
sqc8702
|
|
C2/c |
15 |
monoclinic |
{3,3,6,6} |
16 |
(4,9) |
|
D
|
False
|
|
sqc2441
|
|
Cmmm |
65 |
orthorhombic |
{6,3} |
8 |
(2,7) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.4.4.4.4}{4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:144:19 20 39 40 7 8 81 82 101 102 85 86 51 52 35 36 57 58 25 26 117 118 137 138 121 122 69 70 55 56 43 44 135 136 119 120 139 140 71 72 61 62 99 100 83 84 103 104 109 110 129 130 79 80 141 142 125 126 127 128 111 112 97 98 123 124 143 144 115 116 133 134,3 6 5 9 18 11 13 15 17 21 24 23 27 36 29 31 33 35 39 42 41 45 54 47 49 51 53 57 60 59 63 72 65 67 69 71 75 78 77 81 90 83 85 87 89 93 96 95 99 108 101 103 105 107 111 114 113 117 126 119 121 123 125 129 132 131 135 144 137 139 141 143,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144:4 4 8 4 4 4 4 8 4 4 4 4 4 4 4 4,3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6> {(0, 39): 't1', (0, 29): 't2', (0, 126): 'tau1', (0, 124): 'tau1^-1', (0, 82): 't3', (0, 8): 'tau2^-1*t3^-1', (0, 62): 'tau2*t3', (0, 127): 'tau1', (0, 129): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 10): 't3', (0, 111): 't2*tau3^-1*t1^-1*tau2*t3', (0, 45): 'tau3^-1*t2', (0, 110): 't2*tau3^-1*t1^-1*tau2*t3', (0, 57): 't1', (0, 47): 't2^-1', (0, 142): 'tau1', (0, 26): 'tau3*t2^-1', (0, 125): 'tau1^-1', (0, 38): 't1', (0, 83): 't3', (0, 28): 't2', (0, 9): 'tau2^-1*t3^-1', (0, 63): 'tau2*t3', (0, 11): 't3', (0, 109): 'tau1^-1', (0, 128): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 44): 'tau3^-1*t2', (0, 143): 'tau1', (0, 56): 't1', (0, 46): 't2^-1', (0, 27): 'tau3*t2^-1', (0, 108): 'tau1^-1', }