#MathArtMarch Day 5 (Discovery)
A nebula based on the terdragon #fractal, made completely with #PowerPoint
#mathart #geometry
#MathArtMarch Day 6 (Single Line)
There are quite a few #fractals made by repeatedly modifying a single line. I decided to go for one of the less well known ones (at least to me), the Fibonacci Word Fractal.
Again, this is made completely in #PowerPoint.
#mathart #geometry #fractal
#MathArtMarch Day 9 (Growth)
I appear to have grown some slightly stylised purple fractal mushrooms.
#mathart #fractal #geometry #powerpoint
#MathArtMarch Day 10 (Map)
A Terdragon #fractal with adjusted colours and a single added line to get this map-like image.
#mathart #fractal #fractalart #geometry #powerpoint
#MathArtMarch Day 11 (Proof)
Definitely not a rigorous proof, but maybe somewhat of a demonstration, that this H-curve (at each end of each line draw a perpendicular line scaled down by a factor of √2) fills a rectangular area of the plane.
#mathart #fractal #fractalart #geometry #PowerPoint
#MathArtMarch Day 12 (On an Iso grid)
An isometric Menger Sponge, created in #PowerPoint
#mathart #fractal #fractalart #geometry
#MathArtMarch Day 13 (Zero)
Start with a square, remove the central square with half the side length, then remove squares at each corner with half the side length again, and repeat until zero area remains.
What's left is the T-square #fractal (white here).
#mathart #fractalart #geometry #PowerPoint
#MathArtMarch Day 14 (Irrational)
Start with a line segment. Replace it with two lines at 45° to it, scaled by √2. Keep repeating. You get the Heighway Dragon #fractal.
I think the pattern inside is caused by my scaling factor not being exactly √2 (#PowerPoint doesn't allow irrational size)
#mathart
#MathArtMarch Day 15 (Triangle)
A variation on the Sierpiński Triangle: split it into 16 ¼-length triangles and remove 3 around the centre. Repeat in each sub-triangle, and you get this.
As usual, made entirely in #PowerPoint.
#mathart #fractal #fractalart #geometry
#MathArtMarch Day 16 (Connected)
The Pentadendrite (a variation of McWorter's Pentigree) #fractal looks weird and asymmetrical, but 5 of them connect together perfectly to make this nice order-5 symmetric image.
#mathart #fractalart #geometry #PowerPoint
#MathArtMarch Day 17 (Symmetry)
Lots of choices for this prompt, but in the end I decided to go for this Vicsek #fractal. Even though the colouring actually breaks the some of the symmetry, I think it somehow feels more symmetric than in a single colour.
#mathart #fractalart made in #PowerPoint