Whereas there were 4 standing straight sky pillars distributed at the corners of the 'Square Earth' this was not the case with the 4 curved 'pillars' - instead they could have assembled as helpers for the offspring (hua) part of the year, for the p.m. (= south of the equator) Sun. They were drawn contracted and with 'fruits' in front.

... Freeman describres the dualistic cosmology of the Pythagorean school (-5th century), embodied in a table of ten pairs of opposites. On one side there was the limited, the odd, the one, the right, the male, the good, motion, light, square and straight. On the other side there was the unlimited, the even, the many, the left, the female, the bad, rest, darkness, oblong and curved ...

These curved 'sky proppers' could have come together at the 5th corner of the pyramid, where the top bird collected all beautiful colours:

The star name Mekbuda (ζ Gemini) could allude to such a coming together ('contraction') - a contraction of the squares of the pyramid when time moved them towards the apex. And the name could also refer to the contractions announcing births:

... When Hotu's canoe had reached Taharoa, the vaginal fluid (of Hotu's pregnant wife) appeared. They sailed towards Hanga Hoonu, where the mucus (kovare seems to refer to the amniotic sac in this case) appeared. They sailed on and came to Rangi Meamea, where the amniotic fluid ran out and the conctractions began. They anchored the canoe in the front part of the bay, in Hanga Rau. The canoe of Ava Rei Pua also arrived and anchoraged. After Hotu's canoe had anchoraged, the child of Vakai and Hotu appeared. It was Tuu Maheke, son of Hotu, a boy. After the canoe of Ava Rei Pua had also arrived and anchoraged, the child of Ava Rei Pua was born. It was a girl named Ava Rei Pua Poki ...

Hua 1. Testicle. 2. Figuratively: son, hua tahi, only son; fruits of the earth; to grow well (of fruits). 3. To cause a fight, a quarrel. Hua-ai, generation, as lineage of direct descendents; contemporaries. Huahua, coccyx of bird, 'parson's nose': huahua moa, huahua uha. Huataru, a creeper (Chenopodium ambiguum). Vanaga. 1. The same; ki hua, again, to continue, to strain, to struggle, to move, to repeat, over and above. Mq.: hua, the same, to return, to recommence.  2. To bloom, to sprout; flower, fruit (huaa); huaa tae oko, huaa vahio, young fruit; hua atahi, only son; huahaga, fruit; mei te huahaga o tokoe kopu, the fruit of thy body; tikea huahaga, deceptive appearance. P Pau.: ua, to be born; huahaga, lineage. Mgv.: hua, to produce (said of trees, grain, etc.), blooming time of flowers, abundance of fruit. Mq.: hua, to produce, to bear fruit. Ta.: ua, to sprout. Huahua. 1. Tailless fowl. 2. Vein, tendon, line. 3. Mgv.: huahua, pimples covering the face. Ta.: huahua, id. Mq.: hua, tubercules. Sa.: fuafua, abscess on hand or feet. Ma.: huahua, small pimples. Pau.: Hua-gakau, rupture. Ta.: áau, entrails. Sa.: ga'au, id. Ma.: ngakau, id. Churchill. 1. Fruit. 2. Egg. 3. Tā hua = 'genealogical writing' or 'same writing'. Fischer.

Hue To congregate, to get together; huega, meeting, reunion of persons, heap, pile of things; hue hau, ball of string. Huehue, a fish, with a round body, dark back, and light belly. Vanaga. 1. Calabash, gourd, pumpkin, pot, vase. P Pau.: hue, gourd. Mgv.: hue, calabash gourd. Mq.: hue maoi, calabash; hue ákau, pumpkin; hue, every sort of vase with a large aperture. Ta.: hue, gourd, bottle. 2. A pile, a heap; to accumulate, to agglomerate, to amass, to heap up, to collect, to charge, to put in charge, to destine, to consider, to camp, to pile up, to mass, to assemble, to conceal, to reunite; hue ke, to choose; hue no, a halt; hue ki ruga, to put on another; hakahue, to heap up, to amass, to assemble; huega, mass, sheepfold, camp, collection, company, society, council, corporation, faculty, crowd, group, leage. Mgv.: hue, to collect, to gather together, to heap up. Mq.: huevaevae, calf of the leg; huefenua, the terrestrial globe. Ta.: hue, to heap up. Churchill. Pau.: 1. Emotion. Ta.: huehue, to show fear. 2. To carry, to conduct. Mgv.: akahue, to carry a crop of foodstuff. Churchill. Mgv.: A fish. Ta.: huehue, id. Mq.: huehue-kava, id. Sa.: sue, id. Churchill.

... When it was evident that the years lay ready to burst into life, everyone took hold of them, so that once more would start forth - once again - another (period of) fifty-two years ...

Furthermore, south of the equator where everything was upside down, the top of such a sky pyramid should be at the south pole. Like in ancient Egypt,  which was south of the sea in the middle, up (top) was in the south and down (bottom) was in the north.

... Men and birds joined forces to destroy the huge watersnake, which dragged all living creatures down to his lair. But the attackers took fright and cried off, one after the other, offering as their excuse that they could only fight on dry land. Finally, the duckler (K.G.: a diver) was brave enough to dive into the water; he inflicted a fatal wound on the monster which was at the bottom, coiled round the roots of an enormous tree. Uttering terrible cries, the men succeeded in bringing the snake out of the water, where they killed it and removed its skin. The duckler claimed the skin as the price of its victory. The Indian chiefs said ironically, 'By all means! Just take it away!' 'With pleasure', replied the duckler as it signalled to the other birds. Together they swooped down and, each one taking a piece of the skin in its beak, flew off with it. The Indians were annoyed and angry and, from then on, became the enemies of birds. The birds retired to a quiet spot in order to share the skin. They agreed that each one should keep the part that was in its own beak. The skin was made up of marvelous colors - red, yellow, green, black, and white - and had markings such as no one had ever seen before. As soon as each bird was provided with the part to which it was entitled, the miracle happened: until that time all birds had had dingy plumage, but now suddenly they became white, yellow, and blue ... The parrots were covered in green and red, and the macaws with red, purple, and gilded feathers, such as had never before been seen. The duckler, to which all the credit was due, was left with the head, which was black. But it said it was good enough for an old bird ...

However, for people living in the north this would have been hard to imagine and instead the north pole high above could easier be thought of as the destination of all the spirits, with their following reincarnation into the living world through the roots of the world tree down in the south - by way of first forcing them to follow the Milky Way downwards across the equator and then up again trough its trunk.

Anyhow, at the time of the Bull the creator of the fresh waters, Sirius, would have stood ready at the dry Crater: