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The Golden Star Hidden Inside Every Dodecahedron
Platonic & Higher Dimensions

The Golden Star Hidden Inside Every Dodecahedron

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BEHIND THE WORK

Discovered by Johannes Kepler in 1619, the Small Stellated Dodecahedron is the first of four regular Kepler-Poinsot star polyhedra. Formed by extending the 12 pentagrammic faces of a dodecahedron in golden ratio proportions φ = (1 + √5) / 2, twelve sharp star pyramids bloom outward into 3D space. This video traces the complete stellated star polyhedron in one continuous trajectory with exact 0.000mm periodic closure.

Related Video: The Architecture of Infinity | The Seven Sacred Portals

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Artismathic turns equations into visual art - one function at a time.

#Polyhedron #Geometry #KeplerStar #SacredGeometry #PlatonicSolids #3DGeometric #GoldenRatio #Blender3D #Shorts #Mathematics

THE MATHEMATICAL RULE

Kepler-Poinsot Star Polyhedron {5/2,5} with Golden Ratio ϕ=1+52\text{Kepler-Poinsot Star Polyhedron } \{5/2, 5\}\text{ with Golden Ratio } \phi=\frac{1+\sqrt{5}}{2}Vapex∈{(0,±1,±ϕ), (±1,±ϕ,0), (±ϕ,0,±1)}\mathbf V_{\text{apex}}\in\left\{(0,\pm1,\pm\phi),\,(\pm1,\pm\phi,0),\,(\pm\phi,0,\pm1)\right\}Vbase∈{(±1,±1,±1), (0,±ϕ,±ϕ−1), (±ϕ−1,0,±ϕ), (±ϕ,±ϕ−1,0)}\mathbf V_{\text{base}}\in\left\{(\pm1,\pm1,\pm1),\,(0,\pm\phi,\pm\phi^{-1}),\,(\pm\phi^{-1},0,\pm\phi),\,(\pm\phi,\pm\phi^{-1},0)\right\}rpyramid(u)=(1−u)Vbase,j+uVapex,k,u∈[0,1]\mathbf r_{\text{pyramid}}(u)=(1-u)\mathbf V_{\text{base},j} + u\mathbf V_{\text{apex},k},\quad u\in[0,1]

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FILM · 60fpsWhy Do Only 5 Regular Solids Exist in 3D Space? | Sacred Geometry & Crystal Polyhedra
Platonic & Higher DimensionsFull HD 60fps

Why Do Only 5 Regular Solids Exist in 3D Space? | Sacred Geometry & Crystal Polyhedra

V−E+F=2r(θ,ϕ)=[∣cos⁡(mθ/4)a∣n2+∣sin⁡(mθ/4)b∣n3]−1/n1V - E + F = 2 \quad r(\theta, \phi) = \left[ \left|\frac{\cos(m\theta/4)}{a}\right|^{n_2} + \left|\frac{\sin(m\theta/4)}{b}\right|^{n_3} \right]^{-1/n_1}

Why does the universe repeat the same sacred shapes across every scale of existence? From the atomic lattice of a diamond to the orbits of planets, reality is not chaotic. It is crystal.

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SHORT · 60fps2 Pyramids and 8 Points Reveal Kepler's Star
Platonic & Higher DimensionsFull HD 60fps

2 Pyramids and 8 Points Reveal Kepler's Star

Compoundof2DualTetrahedra:T1∪T2Compound of 2 Dual Tetrahedra: T_1 \cup T_2Intersection=RegularOctahedronIntersection = Regular OctahedronConvexHull=RegularCube[−1,1]3Convex Hull = Regular Cube [-1, 1]^3

Can two 3D pyramids create the ancient Star of David in space?

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SHORT · 60fps13 Circles and 78 Chords Reveal Metatron's Cube
Platonic & Higher DimensionsFull HD 60fps

13 Circles and 78 Chords Reveal Metatron's Cube

K13CompleteGraphon13SpheresK_{13} Complete Graph on 13 Spheresdeg(v)=12==0(mod2)−>EulerianCircuitdeg(v) = 12 == 0 (mod 2) -> Eulerian Circuit13C2=78Chords−>5PlatonicSolids13C2 = 78 Chords -> 5 Platonic Solids

Can 13 circles and 78 chords reveal the sacred geometry of Metatron's Cube?

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