riding the waves of consciousness on the surfboard of wisdom and compassion

Wednesday, May 23, 2007

Platonic solid fractals and their complements

From the faces of its bounded three-dimensions, this fractal reduces itself infinitely towards an infinite number of empty "centers" contained within this finite three-dimensional space.From the "center" of the boundaries of this finite three-dimensional cube, this fractal expands itself infinitely towards the cube's faces without ever fully reaching them.



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Here is a paradox. Mathematically speaking, these two infinite fractals can reside in each other, occupying the same three-dimensional space, without any space remaining between them, without any overlap or intersection between them, and without any modification to their shapes.

The yellow fractal reduces infinitely. The blue fractal expands infinitely. Yet the sum of these two infinite fractals is a completely solid, finitely bounded cube!

Finity and infinity are one, residing perfectly in each other.

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About Me, the Vajra Surfer वज्र

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Los Angeles, California, United States
Hi! ✌ I am a flower-picking ❀ redwood-tree-hugging, ♻ green-party-progressive, 21¼-century reincarnation of John ☮ Lennon from the ♆ spiritual vortex of Santa Cruz, California! I'm a Egytpo-Grecian☥, Neo-Platonic⊿, Gnostic☿, Buddhist⎈-Hinduૐ-Daoist䷀䷁ mystic⁂ and ϕhilosopher-king. 兡 Beyond my preternatural affability there is some acid and some steel.™ I've sober for ⨦20 years. 兡 I like to sing 吉 in my car like I am ☆ live onstage. I chant, which is kind of like singing, except more introverted. I pray for peace 平 and for the enlightenment of all beings. 曰月

Vajrapani, Holder of the Vajra

Vajrapani, Holder of the Vajra
om vajrapani hung phet