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#fractal

2 messages2 participants1 message aujourd’hui

Koch revisited! Another non-regular fractal produced with the idea of the previous post mathstodon.xyz/@DaniLaura/1147 (and no randomness), see first figure. Each triangle generated from a side also depends on the sizes of the current neighbour sides, not just from the side size. Two opposite triangles are generated from each side, the internal one being invisible (but its offspring do not inherit this trait). In the second figure a regular variation where triangles are put off-centre. Here the initial triangle is not drawn as well.
#fractal #mathart #algorithmicArt #AbstractArt #geometry

1/2
I have devised a procedure for creating a novel kind of iterative fractals, based on sectors of circumference (they cannot be produced by segments). For each sector, defined by a point, a radius, and two angles (see second picture), a substitution is defined producing a sequence of sectors. In that image, a substitution is shown which produces three new sectors, based on the parameter 𝛽, the middle portion of the original sector which is replaced with a new sector with smaller radius spanning half a turn. The lateral sectors are reduced in spread but not in radius. The first picture shows a subfractal produced when 𝛽 = 1/3, starting with a sector which spreads a full turn. The third picture shows an artistic rendering of the same fractal, where just the initial sector (a circle) and the newly added semicircles are drawn.
Next post will show further versions.

To all my fellow Arch users, I was once again reminded that putting anything in `/etc/environment` is a bad idea. Don't do it.

I put `GTK_USE_PORTAL=1` in there, because I always want native file dialogs, right? Well, turns out this breaks secret service integration (KDE Wallet/GNOME Keyring) in Fractal. So, back to setting it on a per-app basis.

#Linux#ArchLinux#GTK
Suite du fil

Dismantling

To create a similar scene in Avoyd voxel editor:
- Generate a Menger sponge with low amount per voxel to enable them to deform. Material is a smooth (0.3) saturated red, Light & atm. is blue sky.
- Edit the fractal: cut and paste from it using the spherical brush
- Render: path trace the scene with Full Voxels off & atmosphere volumetric shadows on
- Render post processing: OIDN denoise and AGX tonemapping Golden

#Avoyd#Voxel#VoxelArt

This is Schoeniger, child of Theve and Ileshhyan.
They are the product of 6 generations of breeding.
Schoeniger wonders if they're as good as their parents.

If this flame is beautiful, ⭐ or boost this post to improve its chances for future breedings.
#fractal