Perfect Ratios
While working on drawings for pi is by Design, I noticed a propeller shape which led to
3-d drawings followed by the construction of a physical model for further analysis.
After examining the numbers and mathematical patterns involved in this model I saw
potential for new discoveries. Realizing that these findings could be of interest to
engineering students and others I decided to put my findings into the public domain.
The small blue diamond sitting on top of the red line contains the location for π 3.14159...,
This design has many interesting features:
• All horizontal and vertical measurements end with the repeating remainder 142857
• The proportions/ratios of this design are as perfect as 22/7 (3.142857...)
• The two circle diameters 64.28...% divided by 35.71...% = 1.8
• The number seven recurs frequently, i.e the height of the 100mm propeller (or %),
--divided by one-half the thickness of the central disk (14.285714...mm) is 7.
• The disk diameter 53.428... / 17 = 3.142857..., and 17 is the 7th number in the list of primes.
The circle diameters decrease toward the center by 3.5 x. There is also a Sun and Planets link.
Right triangles.
This model may show optimum air or water flow possibilities for aircraft, ships, etc.
The central disk correctly depicted as football shaped in these next images.
This idea originated from the magic square of the sun drawing wherein I also saw the
Great Pyramid pattern. As mentioned in that webpage the magic squares are reputed
to be thousands of years old.
Perfect ratios and patterns are a universal phenomenon,
and the torpedo shaped Bluefin Tuna is one such example.