A geometry to delight in

432°
/
/
/
/
/
/
324° /////////////////////// 108°
/ /
/ / / 36°
/ / /
288° / / 72° / 144°
/
/
216°


It is almost 30 years since that geometric representation was constructed in response to tiling patterns based on four simple angles of 36°, 72°, 108° and 144° or simply the core angle of 36° multiplied in proportion of 4:3:2 bound up in a 432° geometry.

https://s-media-cache-ak0.pinimg.com...1b4cc0b95d.jpg


Whereas mathematicians are inclined towards multiple dimensions and the unfortunate one of a contrived 'time' dimension, the proper course of research is a prime dimension by which all the relevant geometric structures and perhaps the geometry of life are referred to.

http://www.keplersdiscovery.com/DivineProportion.html


The original 432° representation binds the multitude of different geometric forms together (in terms of beauty and natural efficiency) via background conditions whether this background is called a force or an energy is not unduly relevant presently but only that it is there as a guiding principle for animate and inanimate objects.

For me as an individual and as a Christian the approach has a far more encompassing relevance and much like being in a garden full of different fruits that delight the head and heart.

On Wednesday, June 27, 2018 at 8:07:23 AM UTC+1, Gerald Kelleher wrote:
432°
/
/
/
/
/
/
324° /////////////////////// 108°
/ /
/ / / 36°
/ / /
288° / / 72° / 144°
/
/
216°



This will all be done properly, with the grace of God, some day but no harm to put it out there for others to find elements within the structure itself that appeal to them.

Instead of 90° as a right angle, the value of 108° takes its place and likewise instead of 30°, the angle of 36° takes its place within the overall circular geometry of 432°. Also 216° replaces 180° but noteworthy is 288° minus 108° gives 180° and likewise 324° minus 144°.


http://www.scienceu.com/geometry/art...g/penrose.html


People either get in the spirit of these things or they don't insofar as although it is informative the objective is to enjoy the journey where physical forms and mathematics create a relentless tattoo or interwoven connections where it is both personal and Universal without any pretense.