Golden section and yin-yang symbol proportions

  • Topic:
  • Thread starter Thread starter tongtu
  • Start date Start date
  • Tags Tags
    Section Symbol
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
Sign up Log in
2 replies · 2K views
tongtu
Messages
2
Reaction score
0
Hello, dear friends of mathhelpboards;

I stumbled with a striking claim in https://www.cut-the-knot.org/do_you_know/GoldenRatioInYinYang.shtml

Sorry, I couldn't paste the pic. The question is if there is an algebraical or trig proof for this claim, as the angle seems to be just 45º. Then, is there an EXACT proof for this claim?
 
Mathematics news on Phys.org

Discussion

What angle are you referring to? What do you mean by an "exact" proof?
 
Greg said:
What angle are you referring to? What do you mean by an "exact" proof?

Sorry, I got it. The solution is now in Cut the knot. Assuming, AB=1, AE=12 and BE=5‾√2. It follows that

BI=5‾√2+12=φ

BH=5‾√2−12=φ−1.

Problem solved! Thanks and sorry again.