U-tiling: UQC3544
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc750 |
*22222 |
(3,5,2) |
{4,4,4} |
{4.4.4.4}{4.8.8.4}{8.8.8.8} |
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
|
True
|
|
sqc7368
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4} |
16 |
(3,5) |
|
G
|
False
|
|
sqc7781
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc1767
|
|
P4222 |
93 |
tetragonal |
{4,4,4} |
8 |
(3,5) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {4.4.4.4}{4.8.8.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.5:128:9 3 12 13 7 24 11 15 32 25 19 28 29 23 27 31 57 35 60 61 39 56 73 43 76 77 47 72 81 51 84 85 55 59 63 88 89 67 92 93 71 75 79 96 83 87 91 95 105 99 108 109 103 120 107 111 128 121 115 124 125 119 123 127,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,17 34 35 5 38 39 80 25 42 43 13 46 47 64 50 51 21 54 55 96 66 67 29 70 71 88 49 37 112 65 45 104 53 128 81 98 99 61 102 103 69 120 89 106 107 77 110 111 114 115 85 118 119 122 123 93 126 127 113 101 121 109 117 125:4 8 4 4 8 4 8 4 4 4 8 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 59): 't3^-1', (0, 56): 't3^-1', (2, 56): 't3^-1*tau2^-1', (0, 60): 't3^-1', (0, 123): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 51): 'tau2^-1', (0, 48): 'tau2^-1', (0, 55): 'tau2^-1*t3^-1', (0, 52): 'tau2^-1', (0, 43): 't2', (0, 40): 't2', (0, 47): 't2*tau3^-1', (0, 44): 't2', (0, 127): 'tau2^-1*t3^-1', (2, 29): 't1', (2, 30): 't1', (2, 24): 't1', (2, 25): 't1', (2, 26): 't1', (0, 19): 't1^-1', (0, 16): 't1^-1', (2, 23): 't1^-1', (0, 23): 't1^-1', (0, 20): 't1^-1', (2, 125): 't1^-1', (0, 120): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 120): 't1^-1*tau3^-1*t2', (2, 121): 't1^-1', (0, 124): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 119): 't1', (2, 112): 'tau2*t3', (0, 119): 't1*tau3*t2^-1', (2, 122): 't1^-1', (0, 107): 'tau1', (0, 104): 'tau1', (0, 108): 'tau1', (2, 126): 't1^-1', (2, 88): 'tau3^-1*t2', (0, 67): 'tau3', (0, 64): 'tau3', (0, 68): 'tau3'}