U-tiling: UQC3172
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2416 |
*222222 |
(2,8,6) |
{5,6} |
{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
|
False
|
|
sqc7447
|
|
Cmma |
67 |
orthorhombic |
{6,5} |
12 |
(2,8) |
|
G
|
False
|
|
sqc7446
|
|
C2/c |
15 |
monoclinic |
{6,5,5} |
12 |
(3,9) |
|
D
|
False
|
|
sqc7444
|
|
Imma |
74 |
orthorhombic |
{6,5} |
12 |
(2,8) |
Topological data
| Vertex degrees | {6,5} |
| 2D vertex symbol | {4.4.4.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.3:128:81 66 67 6 7 72 73 42 43 28 29 46 47 48 113 98 99 22 23 104 105 58 59 62 63 64 97 114 115 38 39 120 121 60 61 65 82 83 54 55 88 89 70 71 122 123 108 109 126 127 128 86 87 106 107 124 125 110 111 112 102 103 118 119,2 4 16 8 15 10 12 14 18 20 32 24 31 26 28 30 34 36 48 40 47 42 44 46 50 52 64 56 63 58 60 62 66 68 80 72 79 74 76 78 82 84 96 88 95 90 92 94 98 100 112 104 111 106 108 110 114 116 128 120 127 122 124 126,65 3 5 7 9 11 13 15 80 97 19 21 23 25 27 29 31 112 113 35 37 39 41 43 45 47 128 81 51 53 55 57 59 61 63 96 67 69 71 73 75 77 79 83 85 87 89 91 93 95 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 4,6 5 6 5 6 5 6 5 5 5 5 5> {(0, 124): 'tau1', (2, 47): 'tau3^-1*t2', (0, 62): 't1', (0, 107): 'tau1^-1', (0, 45): 't1', (2, 16): 'tau3*t2^-1', (0, 111): 't2*tau3^-1*t1^-1*tau2*t3', (0, 48): 't3^-1', (0, 125): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 32): 'tau3^-1*t2', (2, 15): 'tau2^-1*t3^-1', (0, 63): 't1', (0, 108): 'tau1^-1', (0, 46): 't1', (0, 16): 't2', (2, 0): 'tau2^-1*t3^-1', (0, 126): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 32): 't2^-1', (0, 109): 't2*tau3^-1*t1^-1*tau2*t3', (2, 63): 'tau2*t3', (0, 47): 't1', (0, 123): 'tau1', (0, 61): 't1', (0, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 0): 't3', (2, 48): 'tau2*t3', (2, 31): 'tau3*t2^-1', (0, 110): 't2*tau3^-1*t1^-1*tau2*t3', }