U-tiling: UQC3785
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc831 |
*2244 |
(3,4,2) |
{8,3,3} |
{6.6.6.6.6.6.6.6}{6.8.6}{6.6.8} |
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
|
True
|
|
sqc7242
|
|
P42/mmc |
131 |
tetragonal |
{6,3,3} |
18 |
(3,4) |
|
G
|
False
|
|
sqc7495
|
|
I-42d |
122 |
tetragonal |
{8,3,3} |
18 |
(3,5) |
|
D
|
False
|
|
sqc1639
|
|
P-42m |
111 |
tetragonal |
{3,3,8} |
9 |
(3,4) |
Topological data
| Vertex degrees | {8,3,3} |
| 2D vertex symbol | {6.6.6.6.6.6.6.6}{6.8.6}{6.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<61.1:128:65 3 5 7 72 73 11 13 15 80 81 19 21 23 88 89 27 29 31 96 97 35 37 39 104 105 43 45 47 112 113 51 53 55 120 121 59 61 63 128 67 69 71 75 77 79 83 85 87 91 93 95 99 101 103 107 109 111 115 117 119 123 125 127,2 4 8 22 55 10 12 16 30 63 18 20 24 31 26 28 32 34 36 40 54 47 42 44 48 62 50 52 56 58 60 64 66 68 72 86 119 74 76 80 94 127 82 84 88 95 90 92 96 98 100 104 118 111 106 108 112 126 114 116 120 122 124 128,9 18 19 6 7 56 26 27 14 15 64 33 22 23 32 41 30 31 50 51 38 39 48 58 59 46 47 57 54 55 62 63 73 82 83 70 71 120 90 91 78 79 128 97 86 87 96 105 94 95 114 115 102 103 112 122 123 110 111 121 118 119 126 127:6 8 6 6 6 6 6 6 6 8,8 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3> {(2, 63): 't3^-1*tau2^-1*t1', (1, 125): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 57): 't3^-1*tau2^-1*t3^-1', (2, 58): 't3^-1*tau2^-1*t3^-1', (1, 126): 't3^-1*tau2^-1*t1', (1, 117): 'tau1^-1', (2, 49): 't3^-1', (2, 50): 't3^-1', (2, 40): 't3*tau2*t1^-1', (1, 93): 'tau3^-1', (2, 25): 't1', (2, 26): 't1', (1, 85): 't2^-1', (2, 127): 't3^-1*tau2^-1*t1', (1, 61): 't3^-1*tau2^-1*t3^-1', (2, 121): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 122): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 62): 't3^-1*tau2^-1*t1', (1, 53): 't3^-1', (2, 113): 'tau1^-1', (2, 114): 'tau1^-1', (2, 88): 't1*tau2^-1*t3^-1', (2, 89): 'tau3^-1', (2, 90): 'tau3^-1', (2, 81): 't2^-1', (2, 82): 't2^-1', (1, 13): 't1^-1'}