U-tiling: UQC3543
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
|
False
|
|
sqc8103
|
|
P4/mmm |
123 |
tetragonal |
{4,4,4} |
16 |
(3,5) |
|
G
|
False
|
|
sqc8108
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc2118
|
|
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
<21.3:128:73 3 76 77 7 40 57 11 60 61 15 48 89 19 92 93 23 56 81 27 84 85 31 72 105 35 108 109 39 97 43 100 101 47 121 51 124 125 55 59 63 104 113 67 116 117 71 75 79 112 83 87 120 91 95 128 99 103 107 111 115 119 123 127,2 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 10 11 5 14 15 24 25 13 32 26 27 21 30 31 29 49 58 59 37 62 63 56 65 74 75 45 78 79 72 82 83 53 86 87 81 61 88 90 91 69 94 95 89 77 96 85 93 113 106 107 101 110 111 120 121 109 128 122 123 117 126 127 125:4 8 4 8 4 8 4 8 4 4 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 't3^-1', (2, 62): 't3^-1', (2, 63): 't3^-1*tau2^-1', (2, 57): 't3^-1', (2, 58): 't3^-1', (2, 53): 'tau2^-1', (2, 54): 'tau2^-1', (2, 48): 'tau2^-1*t3^-1', (2, 49): 'tau2^-1', (2, 50): 'tau2^-1', (2, 45): 't2', (2, 46): 't2', (2, 40): 't2*tau3^-1', (2, 41): 't2', (2, 42): 't2', (2, 121): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 29): 't1', (2, 30): 't1', (2, 31): 't1', (0, 31): 't1', (2, 26): 't1', (0, 19): 't1^-1', (0, 16): 't1^-1', (2, 16): 't1^-1', (0, 20): 't1^-1', (2, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 126): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 127): 't1^-1*tau3^-1*t2', (2, 120): 'tau2^-1*t3^-1', (0, 127): 't1^-1', (2, 122): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 115): 't1', (0, 112): 't1', (2, 119): 'tau2*t3', (2, 112): 't1*tau3*t2^-1', (0, 116): 't1', (2, 109): 'tau1', (2, 110): 'tau1', (2, 105): 'tau1', (2, 106): 'tau1', (2, 25): 't1', (2, 93): 'tau3^-1', (2, 94): 'tau3^-1', (2, 95): 'tau3^-1*t2', (2, 89): 'tau3^-1', (2, 90): 'tau3^-1'}