Quintonion Lab (5D)

Quaternion and Quintonion fractals differ primarily in the mathematical number system used to generate them. Quaternions involve 4-dimensional numbers (one real, three imaginary), where Quintonions use 5-dimensional numbers (one real, four imaginary). Because quaternion and quintonion math is non-commutative (the order of multiplication matters), the structural behavior of orbits escaping to infinity creates vastly different geometric patterns (P. Bourke)

f.e. z^3 + c ||  (0,006 - 1,224 - 0,379 - 0,089 - -0,004) right picture

Here are some more physically possible formulas you can copy and paste into the Custom Equation box to try right now:

1. High-Order Polynomials (Thick, highly detailed structures)

z^4 - z^2 + c (Creates beautiful, sweeping folds combining cubic and parabolic shapes)

z^3 + z^2 + c (Asymmetric lobes that warp heavily on one axis)

z^4 + z + c (A chaotic, spiky outer shell with a dense core)

2. Multi-Inversions (The "Glass Chandelier" shapes)

inv(z^3) + c (Like the inverted lattice, but stretched into 3-way triangular pillars)

inv(z^2) - z + c (Creates a hollowed-out, cage-like structure)

inv(z^2) + inv(z^4) + c (Extremely delicate, glassy bubble-like structures)

3. Weighted / Scalar Mixes (Organic, stretched shapes)

0.5 * z^3 + z^2 + c (Softens the cubic effect, giving it a stretched, sweeping appearance)

z^2 - 0.2 * z^4 + c (Creates a classic shape that suddenly "shreds" at the outer limits)

2.0 * inv(z^2) + c (Pushes the inverted lattice structure outward, making the "rooms" larger)

the *.html File you can download HERE