Parabola developing as an envelope of lines in a triangle.

Parabola developing as an envelope of lines in a triangle.

seanivins:

A curve intersecting an asymptote infinitely many times.

seanivins:

A curve intersecting an asymptote infinitely many times.

Reblogged from smoot
Never seen this many exotic curves in one place. Gorgeous.

Never seen this many exotic curves in one place. Gorgeous.


The lemniscate can be generated as the envelope of circles centered on a rectangular  hyperbola and passing through the center of the hyperbola.

The lemniscate can be generated as the envelope of circles centered on a rectangular hyperbola and passing through the center of the hyperbola.

Reblogged from archery

x’ = sin(a * y) - cos(b * x) y’ = sin(c * x) - cos(d * y)

x’ = sin(a * y) - cos(b * x) 
y’ = sin(c * x) - cos(d * y)

TSP art is a type of line art based on the Traveling Salesman Problem. An image is first discretized into black points on a white background. The points are then treated as “cities” in the TSP problem. An approximate solution to the TSP problem is calculated and drawn. The result is striking approximation to the original image. Remarkably, the path never crosses itself. Read more here.