exupero's blog

Retro line art

I have a vague memory of a math worksheet in middle school that required drawing lines with a straightedge, and together lines produced something like a hyperbolic curve:

To me these looked like early 3D computer graphics.

I don't remember what all the worksheet explored, but I do remember exploring on my own in moments of boredom. The simplest evolutions are making the base axes different lengths or angling them relative to each other:

Axes can be joined together:

There's no reason lines from different axes can't overlap:

And there's no reason the axes have to join together at their ends, though disconnecting them does unravel the grid at the fringes:

Of course, there's nothing sophisticated about these, but they do serve as doodle material in long meetings, having enough complexity to occupy one's hands but not enough to distract the brain from listening.