U-tiling: UQC3518
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc666 |
*22222 |
(3,5,2) |
{4,4,4} |
{4.6.6.4}{6.6.6.6}{6.6.6.6} |
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
|
|
sqc8121
|
|
P4/mmm |
123 |
tetragonal |
{4,4,4} |
16 |
(3,5) |
G
|
False
|
|
sqc8126
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
16 |
(3,5) |
D
|
False
|
|
sqc1898
|
|
P4222 |
93 |
tetragonal |
{4,4,4} |
8 |
(3,5) |
Topological data
Vertex degrees | {4,4,4} |
2D vertex symbol | {4.6.6.4}{6.6.6.6}{6.6.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.1:128:17 10 11 5 7 16 25 13 15 26 27 21 23 32 29 31 49 58 59 37 39 64 65 74 75 45 47 80 82 83 53 55 88 81 61 63 90 91 69 71 96 89 77 79 85 87 93 95 113 106 107 101 103 112 121 109 111 122 123 117 119 128 125 127,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,33 3 36 37 78 79 24 41 11 44 45 62 63 32 49 19 52 53 94 95 65 27 68 69 86 87 35 110 111 56 43 102 103 72 51 126 127 97 59 100 101 88 67 118 119 105 75 108 109 96 113 83 116 117 121 91 124 125 99 120 107 128 115 123:4 6 6 4 6 4 6 6 6 4 6 6,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 58): 't3^-1', (0, 122): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 56): 't3^-1*tau2^-1', (0, 57): 't3^-1', (0, 63): 't3^-1', (0, 50): 'tau2^-1', (0, 49): 'tau2^-1', (0, 55): 'tau2^-1', (0, 42): 't2', (0, 41): 't2', (0, 47): 't2', (2, 39): 't3*tau2', (2, 28): 't1', (0, 24): 't1', (2, 24): 't1', (0, 31): 't1', (2, 27): 't1', (0, 18): 't1^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (0, 17): 't1^-1', (2, 7): 't1', (0, 112): 'tau2*t3', (2, 124): 't1^-1', (0, 121): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 120): 't1^-1', (0, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 123): 't1^-1', (2, 117): 't1', (2, 118): 't1', (2, 119): 't1*tau3*t2^-1', (0, 106): 'tau1', (0, 104): 't2^-1*tau3*t1', (2, 111): 't3*tau2', (0, 111): 'tau1', (0, 97): 'tau1^-1', (0, 90): 'tau3^-1', (0, 89): 'tau3^-1', (0, 95): 'tau3^-1', (0, 72): 't2^-1*tau3', (2, 47): 't2*tau3^-1'}