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Perfect Ratios: A Blueprint of Harmony

Nature and numbers intertwine in remarkable ways. Consider the Bluefin Tuna, its torpedo shape a
testament to perfect ratios, or the elegant spiral of a propeller. This page unveils a design where
geometry and mathematics converge, revealing patterns as precise as they are beautiful—echoes of pi,
repeating sequences, and a harmony that feels almost alive.

The Design Unveiled

Picture a small blue diamond perched atop a red line, pinpointing pi (3.14159...) with uncanny accuracy.
Below, a central disk flanked by circles forms a propeller-like shape, its proportions humming with
symmetry. Every horizontal and vertical measurement in this layout ends with the repeating remainder
142857—a fraction born from 1/7 (0.142857...).
These ratios rival the elegance of 22/7 (3.142857), a classic stand-in for pi, off by just a whisper.

Circles and Their Dance

Two key circles drive the design. Their diameters split the space in a 64.28% to 35.71% ratio, yielding 1.8
when divided—a clean, resonant figure. Zoom in: the disk’s diameter (53.428 mm) over 17 (the seventh
prime) lands at 3.142857, another nod to pi’s shadow. The circles themselves shrink toward the center by
a factor of 3.5, a rhythm that ties them to the whole.

The Power of Seven

Seven weaves through this tapestry like a thread. Take the propeller’s height (100 mm) and divide it by
half the disk’s thickness (14.285714 mm)—the result is exactly 7. This isn’t chance; it’s a signature.
From the recurring 142857 to the prime 17, seven signals a deeper order, linking this design to the cosmos.
Think of the Sun and planets, where ratios also sing.

Beyond the Flat Page

Flat drawings deceive; this is a three-dimensional marvel. The central disk, football-shaped in truer
renderings, hints at a sphere within a cube. Eight right triangles frame it, their 3-4-5 Pythagorean roots
grounding the structure. Three such units could curve into a sphere, a nod to nature’s preference for
roundness over edges.

A Universal Echo

Perfect ratios aren’t confined to this design—they ripple through reality. The Bluefin Tuna’s sleek form
mirrors these proportions, a living echo of the propeller’s balance. Here, math becomes art: pi’s infinite
dance, captured in finite lines, points to a universe built on precision. What begins as a sketch ends as a
window into creation’s hidden pulse.

While working on drawings for pi is by design, I noticed a propeller like shape.
Perhaps indicating optimum air/water flow possibilities for aircraft, ships, etc.

This design has many interesting features, such as:
The small blue diamond sitting on top of the red line contains the location for π 3.14159...,
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...% / 35.71...% = 1.8
The number seven recurs frequently, for example, 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.

3.5 times

The circle diameters decrease toward the center by 3.5 x. There is also a Sun and Planets link.

right triangle

Right triangles.

propeller design

propeller top

propeller left

propeller front

optimum air or water flow

The central disk correctly depicted as football shaped in these next images.

one way rotation

propeller 3d

Perfect ratios and patterns

Perfect ratios and patterns are a universal phenomenon,
and the torpedo shaped Bluefin Tuna is one such example.

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