Metatronbrot - Art, Science & Spirituality

In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. Discovered by Vincent Garant-Pelletier & Dominic Rochon in 2009 (Fractals, 17(3):241-255), it can be interpreted as a particular case of dynamics of 4 complex variables. Any principal 3D slice of the multicomplex Mandelbrot set is equivalent to at least one quadricomplex slice or directly to one of the 8 tricomplex principal slices up to an affine transformation. Hence, the tricomplex space is, in a way, optimal. The name "Metatronbrot" refers to the 2D geometric shape of the so-called Metatron’s Cube of the Flower of Life, where the same three Platonic Solids (the cube, the tetrahedron & the octahedron) can be found with an orthogonal projection.

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Metafractals

In multicomplex dynamics, the Tetrabrot is a 3D generalization of the Mandelbrot set. Discovered by Prof. Dominic Rochon in 2000 (Fractals, 8(4):355-368), it can be interpreted as one of the eight principal 3D slices of the 8D tricomplex Mandelbrot set.
• Tool: Metatronbrot Explorer (MBE8D)
• #tetrabrot, #mandelbrot, #3dmandelbrot, #metatronbrot, #bicomplex, #tricomplex, #mbe8d

Tetrabrot - Principal 3D Slice

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$The Arrowheadbrot | Guillaume Brouillette & Dominic Rochon, 2019. In multicomplex dynamics, the Arrowheadbrot is a 3D generalization of the Mandelbrot set. This 3D Fractal shape can be interpreted as one of the eight principal 3D slices of the 8D tricomplex Mandelbrot set. #arrowheadbrot, #3dfractals, #fractals, #3dmandelbrot, #mandelbrot, #metatronbrot, #tricomplex, #mbe8d$

Arrowheadbrot - Principal 3D Slice

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$The Hourglassbrot {by Guillaume Brouillette & Dominic Rochon, 2019}. In multicomplex dynamics, the Hourglassbrot is a 3D generalization of the Mandelbrot set. This 3D Fractal shape can be interpreted as one of the eight principal 3D slices of the 8D tricomplex Mandelbrot set. #hourglassbrot, #3dfractals, #fractals, #3dmandelbrot, #mandelbrot, #metatronbrot, #tricomplex, #mbe8d$

$The Hourglassbrot {by Dominic Rochon, 2020}. The Hourglassbrot with two 3D divergence layers to infinity as halo effect. In multicomplex dynamics, the Hourglassbrot is a 3D generalization of the Mandelbrot set. This 3D Fractal shape can be interpreted as one of the eight principal 3D slices of the 8D tricomplex Mandelbrot set. #hourglassbrot, #3dfractals, #fractals, #3dmandelbrot, #mandelbrot, #metatronbrot, #tricomplex, #mbe8d$

Hourglassbrot - Principal 3D Slice

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Mousebrot {by Pierre-Olivier Parisé, 2017}. Principal 3D Slice of the Metatronbrot. In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. Discovered by Vincent Garant-Pelletier & Dominic Rochon in 2009, it can be interpreted as a particular case of dynamics of 4 complex variables. #mousebrot

Mousebrot - Principal 3D Slice

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Turtlebrot {by Pierre-Olivier Parisé, 2017}. Principal 3D Slice of the Metatronbrot. In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. Discovered by Vincent Garant-Pelletier & Dominic Rochon in 2009, it can be interpreted as a particular case of dynamics of 4 complex variables. #turtlebrot

La tartaruga delle Sirene {by Dominic Rochon, 2018}. Artistic illustration of the TURTLEBROT in the "Grotta delle Sirene", Tivoli. The Turtlebrot is a principal 3D slice of the Metatronbrot. In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. Discovered by Vincent Garant-Pelletier & Dominic Rochon in 2009, it can be interpreted as a particular case of dynamics of 4 complex variables. #3dmandelbrot, #turtlebrot, #metatronbrot

Turtlebrot - Principal 3D Slice

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$METAFRACTAL - METABROT (Pseudo-OCTAHEDRON with fractal corners) {by André Vallières, 2018}. The Metabrot is a principal 3D slice of the Metatronbrot. In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. Discovered in 2009, it can be interpreted as a particular case of dynamics of 4 complex variables. #metabrot, #metatronbrot, #metafractals$

$METAFRACTAL - METABROT (Pseudo-OCTAHEDRON with fractal corners) {by André Vallières & Dominic Rochon, 2018}. The Metabrot is a principal 3D slice of the Metatronbrot. In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. Discovered in 2009, it can be interpreted as a particular case of dynamics of 4 complex variables. #metabrot, #metatronbrot, #metafractals$

Metabrot - Principal 3D Slice

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Regular Octahedron - Airbrot (Perplexbrot)

Airbrot Mandala - Air Element {by Dominic Rochon, 2018}. The AIRBROT (Octahedron) is a 3D slice of the Metatronbrot. In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. The name "Metatronbrot" refers to the 2D geometric shape of the so-called Metatron’s Cube of the Flower of Life, where the same three Platonic Solids (the cube, the tetrahedron & the octahedron) can be found with an orthogonal projection. #airbrot, #metatronbrot

Airbrot - Principal 3D Slice

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Metatronbrot - Firebending (i_1=0.3) | Dominic Rochon, 2021. In multicomplex dynamics, the "Firebrot" can be interpreted as one of the eight principal 3D slices of the tricomplex Mandelbrot set. #firebrot, #firebending, #mandelbrot, #metatronbrot, #tricomplex

Firebrot - Principal 3D Slice

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$Mandel-Life {by Metafractals on DeviantArt}. Artistic illustration of the Mandelbrot set in growing relationship with the Earthbrot (hexahedron). The EARTHROT in an idempotent 3D slice of the Metatronbrot. In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. #fractalart, #digitalart, #mandelbrot, #3dmandelbrot, #earthbrot, #metatronbrot$

Earthbrot - Idempotent 3D Slice

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$Metacube - Zoom in {by Dominic Rochon, 2018}. The METACUBE is a pseudo-hexahedron with fractal corners generated from a 3D slice of the Metatronbrot. In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. Discovered in 2009, it can be interpreted as a particular case of dynamics of 4 complex variables. #3dmandelbrot, #metacube, #metafractals, #metatronbrot$

$METAEARTH - Alchemical symbol of the METACUBE {by Dominic Rochon, 2018}. The METACUBE is a pseudo-hexahedron with fractal corners generated from a 3D slice of the Metatronbrot. In multicomplex dynamics, the METATRONBROT is the 8D tricomplex generalization of the Mandelbrot set. #mandelscarab, #metatronbrot, #metafractals$

Metacube - Idempotent 3D Slice

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STARBROT - MERKABAH. Animation of the "Stellated octahedron" (name given to it by Johannes Kepler in 1609). #merkabah, #starbrot, #metatronbrot

Starbrot - (1+1) 3D Slices

The Arrowheadbrot - AACA, 29, No. 39, 2019

The Arrowheadbrot | Guillaume Brouillette & Dominic Rochon, 2019. In multicomplex dynamics, the Arrowheadbrot is a 3D generalization of the Mandelbrot set. This 3D Fractal shape can be interpreted as one of the eight principal 3D slices of the 8D tricomplex Mandelbrot set. #arrowheadbrot, #3dfractals, #fractals, #3dmandelbrot, #mandelbrot, #metatronbrot, #tricomplex, #mbe8d

The Arrowheadbrot - Multicomplex Dynamics | Dominic Rochon

Tetrabrot - Art & Science

In multicomplex dynamics, the Tetrabrot is a 3D generalization of the Mandelbrot set. Discovered by Prof. Dominic Rochon in 2000 (Fractals, 8(4):355-368), it can be interpreted as one of the eight principal 3D slices of the 8D tricomplex Mandelbrot set. • Tool: Metatronbrot Explorer (MBE8D) • #tetrabrot, #mandelbrot, #3dmandelbrot, #metatronbrot, #bicomplex, #tricomplex, #mbe8d

Tetrabrot Metaverse | Dominic Rochon on Twitter

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3d Projection

3d Visualization

Science And Nature

Deep zoom on the Tetrabrot | Frontier in Fractals - MDPI

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Tetrabrot - Extreme Zoom | Dominic Rochon, 2021

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Tricomplex 3D Mandy | Metafractals

3d M

Arrowheadbrot - Deep Zoom

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Flowers

Arrowheadbrot - Slice cut

Arrowheadbrot - Slice cut | Dominic Rochon, 2021. In multicomplex dynamics, the Arrowheadbrot is a 3D generalization of the Mandelbrot set. This 3D Fractal shape can be interpreted as one of the eight principal 3D slices of the tricomplex Mandelbrot set. #arrowheadbrot, #fractals, #3dmandelbrot, #mandelbrot, #metatronbrot, #bicomplex, #tricomplex, #mb3d

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Electronic Art

The Multicomplex Mandelbrot Set - The 8 Principal 3D Slices

References: • [1] G. Brouillette & D. Rochon, Characterization of the Principal 3D Slices Related to the Multicomplex Mandelbrot Set, Advances in applied Clifford algebras, 29, No. 39, (2019) • [2] D. Rochon, A Generalized Mandelbrot Set for Bicomplex Numbers, Fractals 8, No. 4, 355-368 (2000) • [3] V. Garant-Pelletier & D. Rochon, On a generalized Fatou-Julia theorem in multicomplex spaces, Fractals, 17, No. 3, 241-255 (2009) • [4] A. Vallières, Dynamique tricomplexe et solides de Platon, Master's Thesis, UQTR, 2021

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Objet D'art

Decorative Jars

The Hourglassbrot - AACA, 29, No. 39, 2019

The Hourglassbrot {by Guillaume Brouillette & Dominic Rochon, 2019}. In multicomplex dynamics, the Hourglassbrot is a 3D generalization of the Mandelbrot set. This 3D Fractal shape can be interpreted as one of the eight principal 3D slices of the 8D tricomplex Mandelbrot set. #hourglassbrot, #3dfractals, #fractals, #3dmandelbrot, #mandelbrot, #metatronbrot, #tricomplex, #mbe8d

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Design

Fractal Design

Tricomplex Exploration - HOURGLASSBROT

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The Flower Of Life

Le Métatronbrot {par Dominic Rochon, 2018}. «Chaque flot est un ondin qui nage dans le courant, chaque courant est un sentier qui serpente vers mon palais, et mon palais est bâti fluide, au fond du lac, dans le triangle du feu, de la terre et de l’air.» — Aloysius Bertrand, Gaspard de la nuit, 1842

$Tricomplex Dynamics - Metatronbrot | Dominic Rochon, 2021. #sacredgeometry, #fractals, #mandelbrot, #platonicsolids, #tricomplex, #airbrot, #earthbrot, #firebrot, #starbrot, #tetrabrot, #metatronbrot Geometry, Lava Lamp$

Geometry

Lava Lamp

Tricomplex Dynamics - Metatronbrot

Tricomplex Dynamics - Metatronbrot | Dominic Rochon, 2021. #sacredgeometry, #fractals, #mandelbrot, #platonicsolids, #tricomplex, #airbrot, #earthbrot, #firebrot, #starbrot, #tetrabrot, #metatronbrot

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