# Trigonometry & Geometry in Indian Temple Architecture
> Explore how ancient Indian temples use trigonometry, fractals, and sacred grids like the Vastu-Purusha-Mandala to align architecture with cosmic design.

Tags: indian-architecture, sacred-geometry, vastu-shastra, fractal-architecture, trigonometry, nagara-style, dravidian-architecture, mathematics-in-art
## Trigonometry in Indian Temple Architecture
* Exploration of fractals, sacred grids, and cosmic design in stone.

## The Vastu-Purusha-Mandala
* The foundation is a sacred geometric grid, typically 8x8 (64-pada) or 9x9 (81-pada).
* Trigonometry calculates intersections of squares and circles for divine alignment.

## Nagara Style: The Curvilinear Shikhara
* Northern Indian towers (Shikhara) use parabolic or elliptical arcs for structural load distribution.
* Cruciform plans with graduated projections (rathas) are derived from rotating squares.

## Fractal Geometry in Design
* Temples utilize recursive geometric functions (sines and cosines) to create self-similar patterns at different scales.

## Architectural Case Studies
* **Kandariya Mahadeva:** Uses mountain-like symmetry and angular projections.
* **Virupaksha Temple:** Features triangular domes and proportional scaling through diagonal alignments.
* **Modhera Sun Temple:** Functions as a stone calendar with 52 pillars representing weeks and 365 elephant sculptures for days.
* **Ranakpur Jain Temple:** Contains 1,444 uniquely carved pillars arranged through complex angular sightline calculations.

## Sacred Symbols and Ratios
* **Sri Yantra:** Interlocking triangles forming a fractal progression.
* **Golden Ratio:** Approximated in floor plans and spiraling towers.
* **Dravida Gopurams:** Entrance towers follow strict height-to-base ratios (often base 2 or 4 geometric progressions).

## Conclusion
* Ancient temple architecture merged theology with algebra to reflect the infinite complexity of the universe.
---
This presentation was created with [Bobr AI](https://bobr.ai) — an AI presentation generator.