#MathArtMarch Day 5: Discovery
Julia is the Solution
This work pays homage to Julia Robinson (1919–1985). Her work was a critical component in discovering a proof (negatively) of Hilbert's tenth problem.
#MathArt
#MathArtMarch Day 5: Discovery
Julia is the Solution
This work pays homage to Julia Robinson (1919–1985). Her work was a critical component in discovering a proof (negatively) of Hilbert's tenth problem.
#MathArt
#MathArtMarch Day 30: Game
Take a number n, square the digits, add to get a new number, repeat. If the sequence ever reaches 1, the n is a happy number (green); otherwise (blue) it ends up in the 4, 16, 37, 58, 89, 145, 42, 20 cycle (red). It's a fun little arithmetic game to play.
#MathArt
#MathArtMarch Day 29: Unsolved
The Collatz sequence starting at 871 (in binary), visualized as an Arctic island. Let
f(n)=n/2, when n is even
f(n)=3n+1, when n is odd.
It remains unknown whether repeating this process will eventually lead to the value 1 (it takes 178 steps for 871).
#MathArt
#MathArtMarch Day28: Quadrilateral
(Math.sin(x) * Math.sin(y) > 0) ? 1 : 0
#MathArtMarch Day 25 (Chaos)
Not chaos in the mathematical sense (I'm not sure that's possible with this #PowerPoint method), but this distorted carpet looks quite chaotic.
#mathart #fractal #fractals #fractalart
#MathArtMarch Day 24 (Equal)
Inverted reflection: two equal but opposite sides.
#mathart #fractal #fractalart #PowerPoint
#MathArtMarch Day 24: Equal
A Pride of Hearts
11x13=143 equal hearts in swirling spiral pattern in 11 colors. The association between the phrase "I love you" and 143 was popularized by Mister (Fred) Rogers, based the word lengths of the phrase, on his television show.
#MathArt
#MathArtMarch Day 23 (Together)
A Sierpiński triangle with lots of colours from mixing together a red, a green and a blue triangle.
#mathart #fractal #fractalart #PowerPoint
#MathArtMarch Day 22 (Hexagon)
A purple shaded hexaflake.
Made in #PowerPoint.
#mathart #fractal #fractalart
#MathArtMarch Day 22: Hexagon
A diversity of hexagons.
#MathArt
#MathArtMarch Day 21 (Font)
A font (water container) made of fonts.
Made in #PowerPoint
#fractal #fractalart #mathart
#MathArtMarch Day 20 (Repetition)
Two spheres repeating indefinitely into the distance.
#mathart #fractal #fractalart #geometry #PowerPoint
#MathArtMarch Day 20: Repetition
The binary representation of 2^n-1 is a repetition of n 1s. It is a Mersenne prime if 2^n-1 is prime (shown in white); n must also be prime. Other prime lengths are light gray and composite lengths are dark gray.
#MathArt
#MathArtMarch Day 19 (42)
A 6x9 grid containing 42 small copies of the whole image.
Created in #PowerPoint.
#mathart #fractal #fractalart #geometry
#MathArtMarch Day 18 (Chance)
Many of the images I've made are based on known #fractals or slight variations of them. This one is not based on anything in particular, I just stumbled upon it by chance as I was playing around in #PowerPoint.
#mathart #fractal #fractalart #geometry
Over on the #MathArtMarch thread for Day 13 Zero I dug up the first puzzle we ever made in 2011(!). Geez, was it a mess but it started us on this crazy puzzling journey we're on now.
#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
#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
take a perfectly good Daniel Shiffman/Craig Reynolds #boids prog in #Processing, and FSU
#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