Cosmic Mandala
EditSystem Prompt
A breathtaking cosmic visualization of a 336-sided polygon (336-gon) rendered in the complex plane, embodying the roots of a hypergeometric-related polynomial inspired by a 336-digit prime number composed of 275 eights and 61 ones. The polygon unfolds as a majestic rosette, with a planar, circular foundation evolving into an irregular, star-like pattern. This transformation results in dense clusters of vertices, creating dynamic perturbations and flowing wavy distortions, revealing hints of a near-spherical or toroidal distribution. Intricate tiling patterns, motivated by the parameters p, q, and r of hypergeometric functions, weave through the design, integrating seamlessly with a sacred geometry overlay. This overlay manifests as a luminous mandala or yantra, with 336 radiant points representing cosmic order, their arrangement reflecting the 275:61 asymmetry in a dynamic, harmonious balance. The color palette blends deep cosmic blues and rich purples symbolizing the 275 eights, accented with soft golden hues for the 61 ones, all set against an ethereal black background. The scene is further enriched with faint grid lines and delicate spiral motifs reminiscent of Fibonacci sequences. The image promises high detail, surrealism, and mathematical precision, presented in 4k resolution with cinematic lighting that imbues the composition with a sense of infinite depth and mystical energy.
User Prompt
A breathtaking cosmic visualization of a 336-sided polygon (336-gon) rendered in the complex plane, embodying the roots of a hypergeometric-related polynomial inspired by a 336-digit prime number composed of 275 eights and 61 ones. The shape features a planar, circular foundation that evolves into an irregular star or rosette pattern, where the dominance of 275 over 61 creates dense clusters of vertices, resulting in dynamic perturbations and flowing wavy distortions. Subtle hints of a near-spherical or toroidal distribution emerge, enriched with intricate tiling patterns inspired by hypergeometric functions and parameters (p, q, r). This merges seamlessly into a sacred geometry overlay, envisioned as a luminous mandala or yantra, with 336 radiant points symbolizing cosmic order, and the 275:61 asymmetry reflecting a dynamic, harmonious balance. The color palette blends deep cosmic blues and rich purples to represent the 275 eights, accented with soft golden hues for the 61 ones, all set against an ethereal black background adorned with faint grid lines and delicate spiral motifs echoing Fibonacci sequences. The design is highly detailed, surreal, and infused with mathematical precision and mystical energy, presented in 4k resolution with cinematic lighting and a sense of infinite depth.