23-09-2026, 11:58 AM
(This post was last modified: 23-09-2026, 12:01 PM by Jorge_Stolfi.)
(22-09-2026, 06:44 AM)JustAnotherTheory wrote: You are not allowed to view links. Register or Login to view.And yet, the drawings in the astronomical section have a sublime original artistic feel to them. It is so incredibly strange.
But it looks like the Artist bungled some of them:
- on f68v3, the wavy line was probably meant to be a circular cloudband (as in that Oresme "Genesis" diagram). But it became an irregular octagon that looks like the edge of a thick plate or of a pool.
- on f69r, the number of "cups with stems" was probably meant to be a multiple of 3, and every three "cups" apparently were meant to be associated with one of the 16 sectors of the outer text ring. At the same time the spaces between the stems were supposed to alternate between blank and filled with a text line. To achieve both purposes the number of "cups with stems" should have been 48. But, as in several other diagrams, it seems that the Artist did not even try to divide the space evenly beforehand. Maybe he did not even think that he had to draw a specific number of "cups". It seems that he just drew one "cup" after the other until he closed the circle after 45 "cups". And then realized that 45 is neither even nor divisible by 16...
By the way, it is rather easy to divide a circle with a compass into 48 equal parts, or 3 x 2^n parts for any n. Dividing it into 5 x 2^n or 5 x 3 x 2^n parts would be much harder (I knew how to do it but I am not sure I would remember now). Dividing it into 45 parts, or 9 x m for any m, is impossible. One would have to divide into 15 arcs with the compass and then divide each arc into three by hand or by trial and error.
All the best, --stolfi

