U-tiling: UQC2915
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2282 |
*222222 |
(2,7,5) |
{5,4} |
{4.8.4.4.4}{4.4.8.8} |
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
|
|
sqc6581
|
|
Cmma |
67 |
orthorhombic |
{4,5} |
12 |
(2,7) |
|
G
|
False
|
|
sqc6587
|
|
C2/c |
15 |
monoclinic |
{4,5,5} |
12 |
(3,8) |
|
D
|
False
|
|
sqc6701
|
|
Imma |
74 |
orthorhombic |
{4,5} |
12 |
(2,7) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {4.8.4.4.4}{4.4.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.2:112:57 4 5 62 63 78 79 66 67 40 41 28 85 18 19 90 91 106 107 94 95 54 55 99 32 33 104 105 92 93 108 109 56 71 46 47 76 77 64 65 80 81 60 61 110 111 98 74 75 96 97 112 88 89 102 103,2 14 6 13 8 10 12 16 28 20 27 22 24 26 30 42 34 41 36 38 40 44 56 48 55 50 52 54 58 70 62 69 64 66 68 72 84 76 83 78 80 82 86 98 90 97 92 94 96 100 112 104 111 106 108 110,29 3 5 7 9 11 13 42 43 17 19 21 23 25 27 56 31 33 35 37 39 41 45 47 49 51 53 55 99 59 61 63 65 67 69 112 85 73 75 77 79 81 83 98 87 89 91 93 95 97 101 103 105 107 109 111:4 8 4 4 4 4 4 4 4 4 4 8,4 5 4 5 5 5 4 5 4 5 5 5> {(2, 97): 't2*tau3^-1*t1^-1*tau2*t3', (2, 27): 't1^-1', (0, 8): 't3', (0, 62): 't3*tau2', (0, 22): 't2', (0, 34): 'tau3^-1*t2', (0, 111): 'tau1', (2, 28): 't1', (0, 48): 'tau2*t3', (0, 19): 'tau3*t2^-1', (0, 63): 't3', (0, 97): 'tau1^-1', (0, 42): 'tau2*t3', (0, 35): 't2^-1', (0, 56): 't3*tau2', (2, 56): 't3*tau2*t1^-1*tau3^-1*t2', (2, 111): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 20): 'tau3*t2^-1', (0, 47): 'tau2*t3', (0, 14): 'tau3*t2^-1', (0, 36): 't2^-1', (0, 7): 't3', (0, 61): 't3*tau2', (0, 28): 'tau3^-1*t2', (0, 50): 't3^-1', (0, 21): 't2', (2, 13): 't1^-1', (0, 33): 'tau3^-1*t2', (2, 42): 't1', }