Category: lines

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.  Twitter, Facebook.  

Shifting lines. 


Twitter
, Facebook.  

Just some lines

Just some lines

Hyperbolic moving parallel lines second version.

Hyperbolic moving parallel lines second version.

Hyperbolic moving paralel lines.

Hyperbolic moving paralel lines.

Currently I am working on some code to be able to draw…

Currently I am working on some code to be able to draw hyperbolic geometry. I can already do some stuff. For example in this picture there are two sets of paralel lines. I use the Poincare disk model. In this model every line is a circular arc that is orthogonal to the outer circle. ()

The long term plan is to draw hyperbolic tessellations.