Unraveling the Mystery of Toroid Shapes: Everything You Need to Know

Welcome to the World of Toroidal Geometries

Unraveling the Mystery of Toroid Shapes: Everything You Need to Know

A toroid is a geometric shape that resembles a torus(donut). A toroid is constructed by rotating a geometrical shape around an axis which is outside the shape. If this is done to a circle, a torus results.

Toroidal geometry image created by Issac Ananda Barbosa 2024

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A surface of revolution obtained by rotating a closed plane curve about an axis parallel to the plane which does not intersect the curve. The simplest toroid is the torus. The word is also used to refer to a toroidal polyhedron (Gardner 1975).

Various modalities of toroidal geometry: (A) Nested torus structure (B) Torus trajectory (red) (C) Atomic structure as double torus, (D) Filled space-time structure with singularity; (E) Torus network at the Planck scale: ultra-structure of quantum foam F: Torus model for rebirth of the Universe from a Wormhole/Black hole/White hole structure (G) Donut model of the universe, (H) Knot structure in torus as metaphor for attractor/standing wave, (I) cartoon of the twistor as a supposed space-time unit.

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The torus is supposed to represent a building block of space-time, in which (wave) information can be processed, stored and superposed ( Figure 2). In this manner toroidal modeling can both be used as a metaphor in science philosophy and, in addition, for defining a physical space compartment that allows the -From a geometric view the torus presents an extremely versatile rotating structure, allowing numerous information trajectories ( Figure 3) with external (surface) and internal (core) components, meeting the complex nature and progressive aspects of science.

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