A mathematically precise 3D render of a black and white geometric yin-yang symbol formed by a torus intersecting a sphere on a light background.

A mathematically precise 3D rendering of a single thick torus intersecting a perfect sphere. The torus is the primary structure and passes through the sphere at a perpendicular angle. The intersection between the torus and the sphere generates a natural yin-yang division on the sphere’s surface, not drawn or added, but formed purely by the geometric intersection. The torus is continuous and dual-colored (half black, half white) with a perfectly smooth gradient transition, representing a continuous loop. The sphere is divided into black and white regions exactly along the intersection curve of the torus, creating a perfectly balanced yin-yang pattern. The two circular “eyes” are exact cross-sections where the torus passes through the sphere. There is only ONE torus, no additional rings or outer bands. The composition is perfectly symmetrical and balanced in three dimensions. Minimalist, no decoration, no extra elements, clean mathematical geometry, studio lighting, soft shadows, high detail, physically plausible rendering. Mehr sehen