Table 2
Lower limits on the size of the fundamental domain for different multiply-connected spaces, in units of the distance to the last scattering surface, χrec.
| Space | Quantity | Δln ℒ < −5 | Δln ℒ < −12.5 | ||||||
| max | marg | max | marg | ||||||
|
|
|||||||||
| T3 cubic torus | L/ (2χrec) | 0.83 | 0.92 | 0.76 | 0.83 | ||||
| T2 chimney | L/ (2χrec) | 0.71 | 0.71 | 0.63 | 0.67 | ||||
| T1 slab | L/ (2χrec) | 0.50 | 0.50 | ... | ... | ||||
| Dodecahedron | ℛi/χrec | 1.01 | 1.03 | 1.00 | 1.01 | ||||
| Truncated cube | ℛi/χrec | 0.95 | 1.00 | 0.81 | 0.97 | ||||
| Octahedron | ℛi/χrec | 0.87 | 0.89 | 0.87 | 0.88 | ||||
Notes. For the torus, slab, and chimney, we present limits on the quantity L/ 2; in curved spaces, limits are on the inscribed-sphere topology scale ℛi. For the columns labelled “max”, we maximize the probability over the orientation of the fundamental domain; for “marg”, we marginalize over orientation.
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