Plane Filling Curves:
Hilbert's & Moore's


If you are reading this, your browser is not set to run Java applets. Try IE11 or Safari and declare the site https://www.cut-the-knot.org as trusted in the Java setup.

Plane Filling Curves


What if applet does not run?

Click on the applet.

The applet displays successively the initial terms of a sequence of curves that can be shown to converge uniformly to a curve. However, this monstrous curve fills a plane region.

Explanation


Plane Filling Curves

Related material
Read more...

  • Plane Filling Curves: all possible Peano curve
  • Plane Filling Curves: Hilbert's and Moore's
  • Plane Filling Curves: Peano's and Wunderlich's
  • Sierpinski Gasket By Common Trema Removal
  • Koch's Snowflake
  • Cantor Sets
  • Fractal Curves and Dimension
  • |Activities| |Contact| |Front page| |Contents| |Geometry|

    Copyright © 1996-2018 Alexander Bogomolny

    71471910