SQUIRCLE.EXE - Mathematical Horror

SQUIRCLE MATHEMATICS

|x|^n + |y|^n = 1

n = 4

SYSTEM_PARAMETERS

> SQUIRCLE_EXPONENT:

> SHAPE_ANALYSIS:

n = 2: CIRCLE_DETECTED
n = 4: SQUIRCLE_OPTIMAL
n → ∞: SQUARE_APPROACHING

CIRCLE (n=2)

SQUIRCLE (n=4)

SQUARE (n→∞)

> MATHEMATICAL_ANALYSIS:

The superellipse equation |x|^n + |y|^n = 1 Defines Our Shape. When n=2, We Have a Perfect Circle. As n Increases, The Shape Morphs, Becoming More Square-Like. At n=4, We Achieve The "Squircle" - a Shape That Exists Between Curve and Corner...