Wolfgang Daeumler 氏とPuha氏から、凄い感銘を受けるメールを受けとっていますが、解読には、少し時間が掛かります。
The static horn torus is a rather simple figure with little properties. Its incredible complexity and creative capability only arises when you add the dynamic, as described and illustrated a little bit on my various webpages.
Mathematically associable English texts you find on https://www.horntorus.com/text/6_engrams.html#txt and following, but to treat the matter really mathematically one first of
The static horn torus is a rather simple figure with little properties. Its incredible complexity and creative capability only arises when you add the dynamic, as described and illustrated a little bit on my various webpages.
all has to conceive the principle, what in my view only can be transported as colloquial speech. I know that is not the mathematician's way to cognition, but see that as a more philosophical and physical topic.
Your name, Professor Saitoh, I mentioned on these pages:
https://www.horntorus.com/manifolds/ht00.html The first with a link to your splendid article. Is that in order for you?
The continuous transformation from the Riemann sphere to the horn torus is illustrated figuratively here: https://www.horntorus.com/2nd-method.html#push