U-tiling: UQC4180
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc859 |
*2244 |
(4,4,2) |
{8,4,4,4} |
{5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5... |
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
|
|
sqc7629
|
|
P42/mmc |
131 |
tetragonal |
{4,8,4,4} |
12 |
(4,4) |
|
G
|
False
|
|
sqc7820
|
|
I-42d |
122 |
tetragonal |
{4,8,4,4} |
12 |
(4,4) |
|
D
|
False
|
|
sqc1846
|
|
P4/mmm |
123 |
tetragonal |
{4,8,4,4} |
6 |
(4,4) |
Topological data
| Vertex degrees | {8,4,4,4} |
| 2D vertex symbol | {5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<65.1:128:17 6 19 5 8 25 14 27 13 16 22 21 24 30 29 32 49 38 51 37 40 57 46 59 45 48 54 53 56 62 61 64 81 70 83 69 72 89 78 91 77 80 86 85 88 94 93 96 113 102 115 101 104 121 110 123 109 112 118 117 120 126 125 128,2 4 21 7 24 10 12 29 15 32 18 20 23 26 28 31 34 36 53 39 56 42 44 61 47 64 50 52 55 58 60 63 66 68 85 71 88 74 76 93 79 96 82 84 87 90 92 95 98 100 117 103 120 106 108 125 111 128 114 116 119 122 124 127,3 66 52 53 70 15 16 11 74 60 61 78 19 82 28 29 86 39 40 27 90 94 47 48 35 98 44 45 102 43 106 110 51 114 118 63 64 59 122 126 67 116 117 79 80 75 124 125 83 92 93 103 104 91 111 112 99 108 109 107 115 127 128 123:5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3,8 4 4 4 8 8 4 4 8 4 4 4> {(0, 58): 't3^-1*tau2^-1*t3^-1', (2, 60): 't3^-1*tau2^-1*t1', (0, 56): 't3^-1*tau2^-1*t3^-1', (1, 124): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 59): 't3^-1*tau2^-1*t1', (0, 50): 't3^-1', (0, 48): 't3^-1', (1, 116): 'tau1^-1', (1, 119): 'tau1^-1', (2, 46): 't3*tau2*t1^-1', (2, 47): 't3*tau2*t1^-1', (0, 26): 't1', (1, 92): 'tau3^-1', (1, 95): 'tau3^-1', (1, 84): 't2^-1', (1, 87): 't2^-1', (0, 8): 't1^-1', (2, 124): 't3^-1*tau2^-1*t1', (0, 120): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 60): 't3^-1*tau2^-1*t3^-1', (1, 63): 't3^-1*tau2^-1*t3^-1', (2, 123): 't3^-1*tau2^-1*t1', (0, 114): 'tau1^-1', (0, 112): 'tau1^-1', (1, 52): 't3^-1', (1, 55): 't3^-1', (0, 106): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 110): 't3*tau2*t1^-1', (2, 111): 't3*tau2*t1^-1', (1, 31): 't1', (0, 80): 't2^-1', (0, 74): 'tau3', (0, 72): 'tau3', (1, 12): 't1^-1', (0, 66): 't2'}