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The koti glyph type probably illustrates a broken egg-shell, meaning that a new little 'chicken' has been released, for instance:

Ca3-12 Ab4-36
 
In typical Polynesian manner several allusions should be understood. The 'chicken' is a new season which is arriving. The top and bottom 'shells' are in Ca3-12 and Ab4-36 drawn in different sizes, in order to illustrate what half of the year has 'been born'.
 
In Ca3-12 it is winter which has arrived, and the top ('cap') of koti is like the 'sky roof' in winter low and compressed. The bottom ('cup') is the high summer sky, which has been turned upside down.
 
In Ab4-36 (130 days after winter solstice) the reverse situation is described. The high summer roof is the cap and the low winter sky has been turned upside down, forming a cup.