Cosmic Symphony
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 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 rendered in hyperrealistic 4k resolution, capturing the intricate details and mathematical precision, with cinematic lighting casting subtle reflections and shadows that enhance the 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.