U-tiling: UQC416
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc95 |
*2224 |
(2,3,1) |
{4,8} |
{4.4.4.4}{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
|
|
sqc7440
|
|
P4/mmm |
123 |
tetragonal |
{4,8} |
12 |
(2,5) |
G
|
False
|
|
sqc7441
|
|
I4122 |
98 |
tetragonal |
{4,8} |
12 |
(2,6) |
D
|
False
|
|
sqc1726
|
|
P4222 |
93 |
tetragonal |
{4,8} |
6 |
(2,5) |
Topological data
Vertex degrees | {4,8} |
2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.1:128:17 3 5 78 79 24 25 11 13 62 63 32 19 21 94 95 27 29 86 87 49 35 37 110 111 56 65 43 45 102 103 72 51 53 126 127 81 59 61 88 67 69 118 119 89 75 77 96 83 85 91 93 113 99 101 120 121 107 109 128 115 117 123 125,2 8 6 7 10 16 14 15 18 24 22 23 26 32 30 31 34 40 38 39 42 48 46 47 50 56 54 55 58 64 62 63 66 72 70 71 74 80 78 79 82 88 86 87 90 96 94 95 98 104 102 103 106 112 110 111 114 120 118 119 122 128 126 127,33 4 5 38 23 16 41 12 13 46 31 49 20 21 54 32 65 28 29 70 36 37 55 64 44 45 71 80 52 53 88 97 60 61 102 87 68 69 96 105 76 77 110 95 113 84 85 118 121 92 93 126 100 101 119 112 108 109 127 116 117 128 124 125:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 8 4 4 4 8 8 4 4 4 4 8> {(0, 56): 't3^-1*tau2^-1', (2, 63): 't3^-1', (0, 63): 't3^-1*tau2^-1', (2, 54): 'tau2^-1*t3^-1', (2, 55): 'tau2^-1', (0, 120): 't1^-1*tau3^-1*t2', (2, 46): 't2*tau3^-1', (2, 47): 't2', (2, 29): 't1', (0, 24): 't1', (2, 31): 't1', (2, 24): 't1', (0, 31): 't1', (2, 22): 't1^-1', (0, 22): 't1^-1', (0, 21): 't1^-1', (2, 125): 't1^-1', (2, 126): 'tau2^-1*t3^-1', (2, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 120): 't1^-1', (0, 127): 't1^-1*tau3^-1*t2', (2, 118): 't1*tau3*t2^-1', (0, 118): 't1', (0, 119): 'tau2*t3', (0, 117): 't1', (2, 111): 'tau1', (0, 96): 't3^-1*tau2^-1', (0, 88): 'tau3^-1*t2', (2, 95): 'tau3^-1', (0, 95): 'tau3^-1*t2'}