Triangulating a circle. How to do a drawing li…

Triangulating a circle.

How to do a drawing like this? Start with a circle and divide it into n equal parts. I choose n=100 for this drawing. There is an easy formula for this, the i-th point is (radius*cos(i*2*PI/n),

radius*sin(i*2*PI/n)). Then for each i connect the i-th point to the point  (radius*cos(PI-2*i*2*PI/n), radius*sin(PI-2*i*2*PI/n)). This might not be one of the original points, but it is on the circle. And that is it 🙂

Why is this mathematically interesting?  This way we get a set of nonparallel  lines such that there are a lot of triple intersections between them.

Shifting lines.

Pattern

Pattern

Based on Joan Taylor’s wanderer tiling. http://tilings.math.uni-bielefeld.de/substitution/wanderer-refl/

Flower

Caged

Snails following a dragon curve. Wow I have re…

Snails following a dragon curve.

Wow I have reached 200 posts 😀

Space filling curve 2.

Space filling curve 2.

Inspired by http://www.fractalcurves.com/

Space filling curve, five generation 2. Inspir…

Space filling curve, five generation 2. Inspired by http://robertfathauer.com/IterationArt.html

Spiral illusion. Stare at the middle. Do you s…

Spiral illusion. Stare at the middle. Do you see the spiral? But these are just circles!