Platonic Hedrals is an art experiment that explores the connection between the platonic solids and Fibonacci tree patterns. The platonic solids, consisting of the tetrahedron, cube, octahedron, dodecahedron, and icosahedron, are five three-dimensional shapes that have fascinated mathematicians, scientists, and artists alike for centuries.
In this experiment, I used the Fibonacci tree pattern, which is created using the famous sequence in 3D space, to create each of the platonic solids in lattice form. The pattern starts from a single longest link then divides by three and shortens by phi, continuing till the links merge again to make a lattice surface.
The resulting structures are stunning to behold, with intricate and mesmerizing geometric patterns that emerge from a center point and expand to create a platonic hedral. By describing space using these complex arrays of geometric patterns, I aimed to highlight the inherent beauty and harmony of the natural world, which follows similar patterns and structures.
The Platonic Hedrals project is a testament to the power of geometry and mathematics in