Astronomy and geometry

Our ancestors loved geometric progressions and especially those related to the Phi proportion which distinguishes our planet from any other by the variety of forms that display a value that resonates with beauty and efficiency.

My own contributions owes their existence to those facets found in inspirational texts so that the base 36 degrees progresses in proportion of 4:3:2 generates the angles of non periodic tiling while the division of 432 degrees by the same proportion gives the same angles -

http://www.scienceu.com/geometry/art...nrosetiles.gif

https://en.wikipedia.org/wiki/Talk:Quasicrystal

To account for 432 degrees I came to consider whether if the three dimensions of actual length,width and height could be squeezed into a single or prime dimension rather than the crude 'black hole' and singularity notion and settled on the conclusion that volume/density ratios would prohibit such an object or physical entity but would live traces of the underlying geometry.. In 1990 I set down a property of stellar evolution using two large external rings and a smaller intersecting ring , something which was affirmed in 1994 via SN1987A -

https://www.skyandtelescope.com/wp-c...987A-rings.png


Mathematicians chasing the non geometric mathematical notation of the mid 19th century which forced timekeeping into geometry as the 4th dimension would be completely unsuitable to look at the modern approach made possible by imaging of stellar evolution either pre-supernova (as above) or post-supernova (as below).

https://en.wikipedia.org/wiki/Eta_Ca...ta_Carinae.jpg

There is a likelihood that a supernova event does not always signal the death of a star but rather the birth of a solar system therefore is a transition phase rather than a demise phase. That is some goal to reach for !.