Another look at Apollonian spheres, cutting out the top half and showing a few iteration steps.
#apollonianspheres #apolloniangasket #iteratedfunctionsystem #inversion #sphereinversion
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#apolloniangasket
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Another style for regular 2D Apollonian gaskets
#apolloniancircles #apolloniangasket #relief #emblem #geometricart #fractal #fractalart #raymarching #pythoncode #opengl #algorithmicart #algorist #mathart #laskutaide #ittaide #kuavataide #iterati
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Another look at the Apollonian gasket. This shows that the process doesn't use simple inversion, since that would distort the image within each disc.
#apolloniancircles #apolloniangasket #geometricart #fractal #fractalart #biblicallyaccurateangels #weirdart #creepyart #horrorart
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Apollonian Gasket #mathart #mathematical #povray #apolloniangasket #black-and-white
Apollonian Gasket
#mathart #mathematical #povray #apolloniangasket #black-and-white
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Apollonian gasket #math #mathematical #geometric #Apolloniangasket #red #opart #povray
Apollonian gasket
#math #mathematical #geometric #Apolloniangasket #red #opart #povray
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Apollonian gasket #Apolloniangasket #math #mathematical #povray #red #white
Apollonian gasket
#Apolloniangasket #math #mathematical #povray #red #white
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A 3D Apollonian Gasket Fractal Structure generated with Nine Iterations of the Algorithm. It is composed of successively smaller instanced Ico Spheres with 2 Subdivisions, which are tetrahedral crystal packed into an initial, invisible starting Sphere. Each Sphere Color corresponds to a different Iteration of the Algorithm.
The Nine Iteration Apollonian Gasket Fractal Structure from the previous screenshot, but with Spheres from all except the final two Iterations, the 8th & 9th Iterations, hidden away. This results in a hollowed out web-like spherical structure. The Spheres of the 8th Iteration are White Colored, and the Spheres of the 9th & Final Iteration are Purple Colored.
A close-up of the center of the web-like Apollonian Gasket Fractal Structure, from a Camera nestled within its hollowed out interior. The Camera has a Focal Length of 25 mm so it can fit inside that section of the interior, along with a Clip Start of 0.01 m and a Clip End of 1000 m.
The close-up interior shot from the previous screenshot, but with the instanced 2 subdivision Ico Spheres replaced with the results of applying a Connect-the-Dots Algorithm, also known as a Plexus Algorithm, to the centers of those now hidden Spheres. This Plexus Algorithm creates a Faceless Mesh Wireframe, to which I then applied my Mesh: Jointed Tubes Node Group to it, in order to create an aesthetically pleasing web-like structure. The Tube-Joint Ratio is 0.8, the Tube Resolution is 4, and the Tube Radius is 0.004 m. All other Settings for the Node Group are Default.
Next, I have my #ApollonianGasket Fractal Structure. Adapting this from 13 year old F# AutoCAD Plugin Code to #Blender3D #GeometryNodes almost gave me a Nervous Breakdown, but it was worth it! It starts as Spheres, but then I apply Mesh: Jointed Tubes to it for a cool look. 😎 #blender #b3d #geonodes
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Apollonian Sphere Packing producing otherworldly music.
youtu.be/BakAZcm8Urc
#sonification #apolloniangasket
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