U-tiling: UQC3173
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc2416.jpg) |
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
|
|
sqc7592
|
|
Cmma |
67 |
orthorhombic |
{6,5} |
12 |
(2,8) |
G
|
False
|
|
sqc7622
|
|
C2/c |
15 |
monoclinic |
{6,5,5} |
12 |
(3,9) |
D
|
False
|
|
sqc1698
|
|
Cmmm |
65 |
orthorhombic |
{5,6} |
6 |
(2,7) |
Topological data
Vertex degrees | {6,5} |
2D vertex symbol | {4.4.4.4.4}{4.4.4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSG_46_1_0.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:128:33 66 67 6 7 72 73 90 91 76 77 46 47 48 49 98 99 22 23 104 105 122 123 108 109 62 63 64 114 115 38 39 120 121 106 107 124 125 82 83 54 55 88 89 74 75 92 93 113 70 71 126 127 128 97 86 87 110 111 112 102 103 118 119,2 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 98 100 112 104 111 106 108 110 114 116 128 120 127 122 124 126,17 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 4,6 5 5 6 5 5 6 5 6 5 5 5> {(0, 39): 'tau3^-1*t2', (2, 127): 'tau1', (0, 41): 't2^-1', (0, 18): 'tau3*t2^-1', (0, 8): 'tau2^-1*t3^-1', (0, 1): 'tau2^-1*t3^-1', (0, 10): 't3', (0, 55): 'tau2*t3', (0, 32): 't1', (0, 57): 't3^-1', (0, 34): 'tau3^-1*t2', (0, 24): 'tau3*t2^-1', (0, 112): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 17): 'tau3*t2^-1', (0, 26): 't2', (0, 7): 'tau2^-1*t3^-1', (0, 48): 't1', (2, 96): 'tau1^-1', (2, 79): 'tau1', (0, 9): 't3', (0, 50): 'tau2*t3', (0, 40): 'tau3^-1*t2', (0, 96): 't2*tau3^-1*t1^-1*tau2*t3', (0, 33): 'tau3^-1*t2', (0, 42): 't2^-1', (0, 23): 'tau3*t2^-1', (2, 112): 'tau1', (0, 25): 't2', (0, 2): 'tau2^-1*t3^-1', (0, 56): 'tau2*t3', (0, 49): 'tau2*t3', (0, 58): 't3^-1', }