Fractured Geometry: Create Your Own Mandala (Part 3) overview image

Fractured Geometry: Create Your Own Mandala (Part 3)

  • Post Date: 4/21/2025
  • Author: Illakkia Ranjani, registration assistant
  • Reading Time: 4 minute read

This project highlights the religious symbolism behind Hindu temple architecture, which featured designs resembling fractal geometry centuries before the development of fractal theory. Through a collection of six architectural fragments from Hindu temples and chariots, the fracturing effects of colonialism are explored.

Fractal Geometry

The concept of “fractal geometry” helps communicate central themes of Hinduism and the ways in which colonialism interrupts those themes. However, it is important to note that while Hindu temple architecture follows the principles of fractal geometry, these structures are not fractals themselves. Because fractals contain infinitely repeating shapes, natural and man-made structures can only be “fractal-like.”

Hindu temple architects and sculptors understood fractal geometry through geometric diagrams called mandalas and yantras. Mandalas represent the universe, while yantras represent specific deities. These complex diagrams are built upon the following foundational shapes:

  • Point (Bindu): represents concentrated energy, the source of all creation
  • Circle: represents the cyclicality of the universe, with no beginning and no end
  • Square: represents the earth, and the stable man-made world
  • Upward Triangle: represents masculinity, kinetic energy, and the spiritual realm
  • Downward Triangle: represents femininity, potential energy, and the physical realm
  • Hexagram: represents the fusion of polarities in a perfect state of union
  • Lotus Petal: represents purity, transcendence and the sphere of the absolute
  • A list of geometric shapes.
  • Black and white geometric shape made up of squares, triangles, and circles.
    The Sri Yantra, often used in meditation. Notice that it depicts all of the foundational shapes.
  • Illustration of a hindu temple, consisting of seven stories and many intricate details and shapes.
    In Hindu temple architecture, the foundational shapes are fractalized, or broken down and repeated vertically, horizontally or radially in successively smaller scales.

Create Your Own

To think about the precise mathematics behind Hindu temple architecture, we invite you to design your own mandala using any foundational shapes you find in the Fractured Geometry series. To use the template provided below, draw mirrored or repeating designs within the provided guidelines.

Download Mandala Template (PDF)

Additionally, to think about the fracturing effects of colonialism, try erasing a section of your completed mandala. This helps illustrate that removing architectural elements from a Hindu temple—no matter how small that fragment may be—creates a noticeable absence that makes the structure feel "off."