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Fig. 1

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Relation of matched discs to matched circles for the Poincaré dodecahedral space, with injectivity radius rinj = (π/10)RC, shown in the universal covering space S3 of radius RC. Multiple copies of the surface of last scattering (SLS) of radius rSLS intersect in circles lying in (flat) 2-planes that are orthogonal to the plane of the page. The interiors of the circles within these 2-planes constitute matched discs. The matched-circle (observer-centred) angular radius is α. Redshifts on either matched disc increase from zmin at the centre to zSLS on the boundary (the matched circle). The SLS can be replaced by the 2-sphere defined by z = 200 to obtain matched discs with 200 > z > zmin instead of zSLS > z > zmin.

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