1. We have from studying the first 4 star pillars of Tahiti began to assemble a map of the sky roof. The first pair of pillars are located at opposite ends of the sky, like the ornaments at the prow and stern of a canoe (rei-mua respectively rei-muri):

Ana-mua	726m	Ana-muri	712m
Antares		Aldebaran
16h 26m		04h 33m
986m (= 16 * 60 + 26)		1713m (= 28 * 60 + 33)
24 * 60 = 1440m

To translate distances in rectascension minutes into days we can multiply by 365¼ / (24 * 60) = 0.2536, e.g. is 726m * 0.2536 = 184 days. And from Aldebaran to Antares  there are 0.2536 * (986 - 273) = 0.2536 * 713 = 181 days, which happens to be equal to the length from summer solstice to winter solstice south of the equator:

South of the equator
358 - 177 = 181 days	365 - 358 + 177 = 184 days
autumn	spring
Aldebaran → Antares	Antares → Aldebaran

Furthermore, by what appears to be another remarkable coincidence there are 2 * 364 rectascension minutes from Ana-mua up to and including Ana-muri:

Ana-mua	726m	Ana-muri	712m
986m		1713m
728m (= 2 * 364 = 26 * 28)
24 * 60 = 1440m

Possibly this once determined why Antares and Aldebaran were chosen to be the first pair of star coordinates.

If the cycle had been defined to be e.g. 12 or 36 hours instead of 24 hours, then the symmetries would still remain:

12 * 60 = 720	364	26 * 14
24 * 60 = 1440	728 = 2 * 364	26 * 28
36 * 60 = 2160	1092 = 3 * 364	26 * 42

Therefore we cannot use 2 * 364 = 26 * 28 as an argument to prove that the Polynesians used 24h for the full sky cycle. But the number for the cycle must be chosen with care, because not any arbitrary subdivision would give equally nice results. For instance is neither 10 nor 16 good numbers for the full cycle if the distance from Ana-mua up to and including Ana-muri is to be used in the framework:

10 * 60 = 600	728 / 1440 * 600 = 303⅓
16 * 60 = 960	728 / 1440 * 960 = 485⅓

Still, there are several attractive alternatives to 24h, e.g.:

3 * 60 = 180	728 / 1440 * 180 = 91	91 = 13 * 7
9 * 60 = 540	728 / 1440 * 540 = 273	273 = 13 * 21
6 * 60 = 360	728 / 1440 * 360 = 182	182 =13 * 14

Not to mention such alternatives which use another division of the 'hour' than into 60 equally long 'minutes':

24 * 15 = 360	728 / 1440 * 360 = 182	13 * 14
36 * 15 = 540	728 / 1440 * 540 = 273	13 * 21
96 * 15 = 1440	728 = 2 * 364	13 * 56