Jan 3
"Circular - BF1, 3", Jan 3, 2026, digital/acrylic, Reginald Brooks
The Butterfly Fractal 1 (BF1): 1-2-4-8-16-...
Double 1 = 2, going clockwise, double 2 = 4, double 4 = 8, double 8 = 16, ...
With exception of x=2, all other Perfect Number x's are in the vertical quadrants, as 2ᵖ⁻¹ .
With exception of z=3, all other Perfect Number z's are in the horizontal quadrants as 2ᵖ -1.
The Perfect Number (PN) = xz = 2ᵖ⁻¹ (2ᵖ -1).
p=prime, and when that prime is a Mersenne Prime, xz=PN.
A Mp is a prime that is 1-less than an exponential power of 2; e.i. p=Mp=2³ -1= 8-1=7.
