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.

Fractals

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By the expression of a simple mathematical formula, a two-dimensional "fractal" is created. This fractal infinitely and indefinitely contracts and expands in an exactly repetitive manner to approximately "reach" an infinite and indefinite number of "emptinesses." The only differences in this fractal are in it sizes of scale, which expand and reduce without end.

The Heart Sutra

Prajnaparamita, the Goddess of Perfect Wisdom, and Mother of the Buddhas

The Heart Sutra

"The Bodhisattva Avalokitesvara, while meditating on Prajnaparamita, shed light on the five skandhas (i.e., components of ego) and found them equally empty. After this penetration, he overcame all pain.

"Listen, Shariputra (a disciple of the Buddha), form is emptiness, emptiness is form; form does not differ from emptiness, emptiness does not differ from form. The same is true with feeling, perception, intention and consciousness.

"Hear, Shariputra, all dharmas (teachings) are marked with emptiness; they are neither produced nor destroyed, neither defiled nor immaculate, neither increasing nor decreasing. Therefore, in emptiness there is no form, feeling, intention, or consciousness; no eyes, ears, nose, tongue, body, or mind; no forms, sounds, smell, tastes, touches, or mental objects; nor is there the realm of the eyes, up to and including the realm of mind consciousness. There is no ignorance or ending of ignorance; up to and including no decay and death or ending of decay and death. There is no suffering, no origination of suffering, no extinction of suffering, and no path; no knowledge and also no attainment.

"Because there is no attainment, the bodhisattvas, supported by the Prajnaparamita, find no obstacles for their minds. Having no obstacles, they overcome fear, liberating themselves forever from illusion and realising perfect Nirvana. All Buddhas in the past, present, and future, through reliance upon Prajnaparamita, arrive at full, right, and universal Enlightenment.

"Therefore, one should know that Prajnaparamita is a great spiritual mantra, a great wisdom mantra, a supreme mantra, an unequalled mantra. It destroys all suffering because it is the incorruptible truth. A mantra of Prajnaparamita should therefore be proclaimed. This is the mantra:

"GATE GATE PARAGATE PARASAMGATE BODHISVAHA."
pronounced as:
"gah-teh gah-teh, pah-ra-gah-teh, pah-ra-sum-gah-teh, boo-di so-ha"