This video shows six different methods of creating the Sierpiński triangle including removing triangles, the chaos game, Pascal’s triangle mod 2, the bitwise dominance order, a ternary branching tree, and the arrowhead construction.

Six Sierpiński Triangle Constructions (visual mathematics)

#chaos #ChaosGame #ChaosTheory #dynamicalSystems #fractal #fractals #GenerativeArt #Geometry #Math #MathArt #MathematicalVisualProofs #Mathematics #nowWatching #Pascal #PascalTriangle #selfSimilar #sierpinski #SierpinskiTriangle #ternaryTrees #YouTube

Genuary Prompt Nr 18: Bauhaus

Shifting Colors in the Reptrile Tiling, a selfsimilar Tiling constructed by @ngons

#genuary2024 #genuary #genuary18 #selfsimilar

Genuary Prompt 11: In the Style of Anni Albers

#genuary #genuary11 #genuary2024 #selfsimilar

Genuary Prompt Nr. 10: Hexagonal

The selfsimilar Fish Tiling has a tile shaped like a fish made from 3 regular triangles. Each Triangle can be cut into 3 intervowen fish-tiles.

Full-Length full-res Version: https://youtu.be/-aFS3FGJwS8

#genuary2024 #genuary #genuary10 #selfsimilar

Okay so I w2as asked the question if the #Cantorset is countably or uncountably #infinite.

The Cantor-set is a #selfsimilar #fractal like thingie you get it by taking the interval between zero and one (real numbers), and then, dividing it onto thirds, then erasing the middle third. Then, you take the remaining two thirds, divide them into thirds again and erasing the middle third from each. This goes on for infinity.

And if you scale it up by three, you get two times the stuff. Also countable.

Autologlyphs: the word fractal rendered as a fractal.

via http://www.segerman.org/autologlyphs.html

#selfsimilar #selfsimilarity #fractal