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Wikipedia links from the Greek letter chi (Χ, χ) to the chiastic structure:

When read left to right, up to down, the first topic (A) is reiterated as the last, and the middle concept (B) appears twice in succession. (Also, the middle concept could appear just once.)

"Chiastic structure (also called chiastic pattern or ring structure) is a literary device for chiasmus applied to narrative motifs, turns of phrase, or whole passages. Various structures of chiasmus are commonly seen in ancient literature to emphasize, parallel, or contrast concepts or ideas ...

These often symmetrical patterns are commonly found in ancient literature such as the epic poetry of Odyssey and Iliad. Various chiastic structures are also seen in the Hebrew Bible and the New Testament, where biblical writers used chiasmus to give meaning to their writings or to highlight details of particular importance."

To highlight details of particular importance the letter X could be used. Basically the structure exemplified above means there are only 2 subjects, not 4.

Castor is not Pollux, but after his death he will come alive again (like Likāvaka). Possibly this explains why there is a dove (Phakt, α Columbae) type of 'stone image', it could represent the manu rere of Castor. If so, then Castor could reappear 30 days later in the 'zodical land' as Procyon:

Phakt

α Columbae

2.65

34º 06' S

05h 38m

85.7

Procyon

α Canis Minoris 0.34 05° 21′ N 07h 37m 115.9

Pleione 10 11 12 (26) 13
June 9 (160) 10 11 12 (528)
Ca4-4 Ca4-5 Ca4-6 Ca4-7 (83)
tagata - te rau hei te hokohuki i te moko te rau hei e gagata hakaariki
  Bellatrix, Saif al Jabbar (80.7) Mintaka (82.4)
φ¹ Orionis (83.1), Heka (83.2)
Albatain 1 2 (29) 3
June 13 14 15
Ca4-8 Ca4-9 (85) Ca4-10
manu te rau hei te hokohuki
Lesath (264.7), Shaula (265.3) Sargas (266.3)  
Hatysa (83.5), φ² Orionis (83.6), Alnilam (83.7) Phakt, Alnitak (84.7)  
23 Heka 1 2 3 4 (57)
July 9 10 11 12 (193)
Ca5-5 Ca5-6 (111) Ca5-7 Ca5-8
kua iri i te rakau ihe tamaiti erua mago
Wasat (109.8) Aludra (111.1) Gomeisa (111.6), ρ Gemini (112.1) Castor (113.4)
Heka 5 6 7 (60) 8 9
July 13 14 15 (196) 16 17
Ca5-9 Ca5-10 Ca5-11 (116) Ca5-12 Ca5-13
te hokohuki erua te marama te maitaki te henua
no star listed Markab (114.7), Procyon (114.9) σ Gemini (115.7), Pollux (116.2) Azmidiske (117.4) no star listed

Sun, the immortal 'one', does not die. Instead he perhaps could follow the Milky Way south, a journey which takes him 33 days and where he - like Taetagaloa - will find a great ship (Argo Navis), possibly to help him sail across the Milky Waves (instead of flying over like Castor):

Betelgeuze

α Orionis

0.58

07° 24′ N

05h 52m

89.3

Naos

ζ Puppis 2.21 39° 52′ S 08h 02m 122.3
Albatain 4 (31) 5 30
June 16 17 (168)
Ca4-11 Ca4-12 (88)
te moko te hokohuki
Girtab (267.6) Apollyon (268.9)
Saiph (86.5) Betelgeuze (88.3)
Heka 10 11 (64) 12
July 18 19 July 20 (201)
Ca5-14 Ca5-15 (120) Ca5-16
kua haga te mea ke manu puoko i tona ahi kua heu te huki
no star listed Drus (119.9) Naos (121.3)

... in the ceremonial course of the coming year, the king is symbolically transposed toward the Lono pole of Hawaiian divinity ... It need only be noticed that the renewal of kingship at the climax of the Makahiki coincides with the rebirth of nature. For in the ideal ritual calendar, the kali'i battle follows the autumnal appearance of the Pleiades, by thirty-three days - thus precisely, in the late eighteenth century, 21 December, the winter solstice. The king returns to power with the sun ...

There are 30 days from the June solstice up to and including July 20, but by adding 3 it becomes 33:

Albatain 6 (33) 7 (399) 8 9
June 18 19 20 21 (172)
Ca4-13 Ca4-14 Ca4-15 Ca4-16 (92)
kua tuu tona mea te henua te hau tea mauga hua - te henua
η Leporis (89.0), Praja-pāti, Menkalinan, Mahashim, and γ Columbae (89.3)  η Columbae (89.7), μ Orionis (90.3) 6h (91.3) ξ Orionis (92.5)
χ² Orionis (90.5), ν Orionis (91.4)