Tradition

Origin - Buddhist Tradition

Mandala of Eight Gates and Other related terms, basically - also called different things

The number of deities arranged around the cores varies, but may range as high as 414.

Also part of Chinese and Tibetian Tradition

Sand Mandalas - Tibetian Buddhism

Made with grains of sand. Eventually wiped and passed into rivers

To represent impermanence and essence of the soul

Made by monks with 3 -5 years of training

 Examples

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Drawing - Step by step

Construction

Initial Construction

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Construction Lines

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Result

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References

mandala

Transfer - Hindu & Jain Tradition

Hindu Tradition

Yantra

Basic type of a mandala

History

Baghor Stone - Considered one of the first yantra’s

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Associated similar Stones:

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Muladhara association

Structure and Classification

Structure

Basic bindi (Centre point) with shapes radiating outwards like:

squares, triangled, circles. hexagons, symbolic lotus petals

Refs

https://en.wikipedia.org/wiki/Yantra

Classification

Shape Wise

Triangles

Downward pointing - Shakti (feminine)

Upward pointing - Shiva (masculine)

Hexagrams

Two equilateral Triangles intertwined - male and female

Lotus

Represents Purity and transcendence

Can have 2, 4, 8, 10, 12, 16, 24, 32, 100, 1000 or more petals

Circle

Represent Manifestation

Square

Represent earth and 4 cardinal directions - doorways included

Colours Importance

Represent the qualities of nature

White - Purity

Red - Activity

Black - Inertia

Uses

Meditation

Represent an aid to meditation by acting as the deity

Deities

Often either directly represent them, or used as ornaments for their worship

Addition Refs:

https://en.wikipedia.org/wiki/Navagraha

https://mapacademy.io/article/mandala/

Modern Usage

Mathematics

Golden Ratio

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Pi

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Fractals

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Refs

https://www.pinterest.com/pin/953566921079486738/

https://www.pxfuel.com/en/query?q=+mandala+psychedelic

Mandelbrot Sets

No matter how far out or how deep in you go, the coast line still looks the same - Self Similarity

Notes

Before Mandelbrot, however, they were regarded as isolated curiosities with unnatural and non-intuitive properties. Mandelbrot brought these objects together for the first time and turned them into essential tools for the long-stalled effort to extend the scope of science to explaining non-smooth, "rough" objects in the real world. His methods of research were both old and new:

The form of geometry I increasingly favored is the oldest, most concrete, and most inclusive, specifically empowered by the eye and helped by the hand and, today, also by the computer ... bringing an element of unity to the worlds of knowing and feeling ... and, unwittingly, as a bonus, for the purpose of creating beauty.[9]: 292

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Arthur C Clarke

According to Clarke, "the Mandelbrot set is indeed one of the most astonishing discoveries in the entire history of mathematics. Who could have dreamed that such an incredibly simple equation could have generated images of literally infinite complexity?" Clarke also notes an "odd coincidence":

the name Mandelbrot, and the word "mandala"—for a religious symbol—which I'm sure is a pure coincidence, but indeed the Mandelbrot set does seem to contain an enormous number of mandalas.

References

General: https://www.adobe.com/in/creativecloud/design/discover/mandala-art.html

Psycho-Analysis - Jung: https://jungcurrents.com/carl-jung-ten-quotations-about-mandalas

Inspiration

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