The study of sacred geometry begins with dynamic symmetry... a rediscovered system that reveals the hidden order behind art, architecture, and nature itself. Through proportions rooted in transcendental numbers like π, every circle, every ratio, becomes a reflection of cosmic law. It’s the mathematics of harmony... the geometry of creation made visible. | The Randall Carlson

The butterfly curve is a stunning example of how mathematics can produce natural, almost lifelike beauty through simple equations. It’s defined by parametric functions involving exponential and trigonometric components that combine to create a shape resembling a butterfly with delicate wings and a slender body. As the parameter moves through its range, the curve traces elegant, symmetrical loops that expand and contract smoothly, giving it the visual impression of fluttering motion. Despite its