I asked my friend, ‘what made you do this?’ He said to me, ‘I like taking shrooms and looking at these things.’
“Out of this war, the greatest since the beginning of history, a new world must be born that would justify the sacrifices offered by humanity, where there will be no humiliation of the poor by the violence of the rich; where the products of intellect, science and art will serve society for the betterment and beautification of life, and not the individuals for achieving wealth. This new world shall be a world of free men and free nations, equal in dignity and respect.”
“Tesla and the Future.” Serbian Newsletter, 1943.
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.
Based on Joan Taylor’s wanderer tiling. http://tilings.math.uni-bielefeld.de/substitution/wanderer-refl/
Just some lines
“Some Personal Recollections.” Scientific American, June 5, 1915.