On 2009.03.18, at 12:40 , Palmen, KEV (Karl) wrote:
It looks good.
I don’t think Irv considered making the colour correspondence apply to the year number rather than year of cycle number, then the colours in the symmetrical cycles would flip between successive cycles.
Irv replies: That is what I tried first, and was dismayed by the color pattern flip between successive cycles, that is why I switched to year-within-cycle and made sure that the first cycle at the epoch is always shown.
For the almost symmetrical cycles the colours are anti-symmetrical, except for the middle year of the cycle. Irv has shown only one of the two almost-symmetrical cycles for each number C of years. He shows the one where the year C/2 is a leap year and not the other one where year C/2 + 1 is a leap year.
Irv replies: That is correct -- within Kalendis, I standardized on using K=C/2 for even-length cycles, only because the arithmetic is a tad simpler. Is there a better reason to pick K=C/2+1 instead?
I am now experimenting with inserting a blank line at the mid-point of the cycle to highlight the axis of symmetry.
If there are an even number of leap years then a single blank line half-way through the list is appropriate.
However if there are an odd number of leap years then the middle (leap) year needs a blank line above and below it, because it sits right on the axis of symmetry.
-- Irv Bromberg, Toronto, Canada
