Fractal Geometry Description

Despite the apparent complexity and diversity of this fractal drawing, it is actually composed of circles with a circumference of 3 conditional units and curves of 0.5 conditional units in length. Between the circles, there is a figure that in “Boxology” we call “vovik.” It is clear that two fields have emerged here — circles and “voviks” — colored white and red.

The idea of this fractal is to create a 2D graphical construction with intuitively designed yet precise lengths. These elements represent the fundamental spatial lines differently from the Euclidean coordinate system or classical geometry.

This pattern allows us to envision the next step: constructing a 3D space based on curved lines, and potentially inventing a new geometry — the geometry of “harmonious” curves, which we also call the semi-chords of the Ischenko chord.

An Ischenko chord consists of two semi-chords tangent to the diameter of a circle. However, in this concept, the circle’s center and diameter are considered as intuitive components, not as they are formally defined in classical geometry.

The main idea — and I emphasize this — is to create a fractal from elements that have precise lengths. This enables infinitely scalable constructions or even a completely new coordinate system. “Precise lengths” here means the absence of “imprecise” foundations based on coefficients like the number π.