amazing ways to memorize isohedron radii for the rest of your life
GoldenRatio Artwork
generalradiusformula
icosahedron dodecahedron
20 faces 12 vertices 12 faces 20 vertices
public birthday ^{⊙}2012 ^{⊘}12 ^{⊖}20
public birthplace www.phimath.net
category uncertified original mathematics
discovered by hieronymousleclochard
Socrates: I know that I know nothing.
MathGroupies: I know that we know, nothing new. >>>> Oh, really, please let them explain the introduction of unitradius for doeradiformula and ikeradiformula.
Don't be shy, send me your opinion.
science fiction study on extraterrestrial mathematics
isaacpaclreport studies since 2008
considers the original isaac material
without thirdparty internet hoax photos

phiman uses pentagonometry
This simple statement is the overall conclusion of many occasional studies of isaacpaclreport symbols, the pentras. With the help of that paper hieron discovered the magic of pentagonometry. The new knowledge of ikedoeradiformulas are a good and helpful entry point for pentagonometry.One thing you should keep in mind: hieronymous is rather an artist or a science fiction writer, than a professional mathematician. All calculations have a clear mathmatical background: GoldenRatio (= φ = phi) based numbers. The most favourable analytical way to describe pentagons is GoldenRatio based. All geometrical constructions of regular pentagons pass by a GoldenRatio construction.
During history of humanity a lot of science fiction has become reality. Humans flying to mars is still a science fiction today, maybe a reality in 100 years. Radio, TV, Phones, Computers, Robots, electric Lights, Photos were all science fiction 200 years ago, a reality today. Pentagonometry is a personal science fiction of hieron, maybe a reality in 20 years. Pentagonometry is so vast, that a single man cannot bring it up, but an internet community has a good chance.
The introduction of belieflevels
To structure beliefs of different categories the community will introduce belieflevels. On the highest level we have placed idea, means any idea, of any quality, pure fiction, fantasy, mathematical ideas (inspirations). An idea doesn't need any argumentation, but if we find arguments, the idea can become a guess. With more and better arguments a guess can become an opinion, then conviction, and finally with a wideley accepted proof among mathmaticians, a mathematical (scientific) belief. All statements start on the idea level, but not all ideas will flow down to common mathematical belief. Two extreme examples: [idea]doeradiformula, [idea]isaacpaclreport graphic was created by a mathematician. Within the community the doeradiformula jumps very fast and easily to the mathematical level, simply because some short calculations proof mathematical correctness. The second idea will need good arguments to reach the guesslevel in a community. And maybe a distinction between community belief and private belief would be useful.
phi := [opinion] a transcription of the greek letter φ which established as default symbol for GoldenRatio;
phimanity := [idea] a supraintelligent extraterrestrial civilization. humanity analog phimanity
phiman := [idea] an individual of phimanity. human analog phiman
phimath := [idea] the mathematics of phiman
pentagonometry := [guess] pentagonrelated generalization of trigonometry, a goldenRatioMathematics
pentra := [idea] pentagonometric character.
definitions and [belieflevels] by
hieronymousleclochard, ^{⊙}2012 ^{⊘}01^{⊖}08
birthday of this website: www.phimath.net
birthday of first icosahedron & dodecahedron radius formula worldwide
Mathematical aspect: A single recursion is responsible for all radii, responsible for both, ikeRadi and doeRadi. for ikeRadi the recursion goes: GoldenRatio^n GoldenRatio^(n+2) → GoldenRatio^(n+1), For doeRadi the recursion goes: GoldenRatio^n + GoldenRatio^(n+1) → GoldenRatio^(n+2), and this is just an algebraic exchange of two terms referencing the same recursionEquation.
A quick & dirty explanation would be:
ike&doeRadi are normedSubranges @ phiRecursions. (phi=GoldenRatio)
© 20122013 hieron@phimath.net All rights reserved.

