Visualizing Math

A blog dedicated to mathematics. 

 
Posts We Like
Blogs We Follow

Space-filling Curve

 A space-filling curve is a curve whose zigzagging lines cover the entire space they occupy. They astound mathematicians because they seem as if they ought to be one-dimensional. After all, they are lines. However, as the curve reaches its limit, space filling curves occupy a two-dimensional space, becoming a completely filled figure.

The curves above were created using an L-system. An L-system is created by starting with an axiom, such as a line segment, and one or more production rules, which are statements such as “replace every line segment with a left turn, a line segment, a right turn, another segment…”. When this system is iterated several times, the result is often a complicated fractal curve. More.

Image Source.

  1. kawaiimath reblogged this from visualizingmath
  2. mgdevereux reblogged this from mathematica
  3. ttttttffffff reblogged this from visualizingmath
  4. measurementoftheobserver reblogged this from visualizingmath
  5. thehumblelayman reblogged this from visualizingmath
  6. wilfordwarfstaches reblogged this from mathematica
  7. just-call-me-jim-deactivated reblogged this from visualizingmath
  8. contrapositivity reblogged this from visualizingmath
  9. shepickshertrainsbychance reblogged this from visualizingmath
  10. nicolasnonexist reblogged this from palace-of-the-empress
  11. bocadebuho reblogged this from too-much-coding
  12. jishhd reblogged this from mentalalchemy
  13. rrrready reblogged this from awesomefresh
  14. awesomefresh reblogged this from jpizzles
  15. scienceasylum reblogged this from mathematica
  16. jpizzles reblogged this from visualizingmath
  17. phillintheblanks reblogged this from malphalent
  18. creepysleepyqueer reblogged this from zordonsquad
  19. memyselfiamweird reblogged this from visualizingmath
  20. fasted93 reblogged this from malphalent
  21. zordonsquad reblogged this from malphalent
  22. malphalent reblogged this from visualizingmath
  23. renae-ellen reblogged this from visualizingmath
  24. chaobunny reblogged this from lappi
  25. lappi reblogged this from tropylium
  26. tropylium reblogged this from mathematica
  27. lbsimas reblogged this from mandolinaes
  28. orthogons reblogged this from mathematica
  29. hatemonstervsthelovebug reblogged this from mathematica
  30. ballsohardchandra reblogged this from mathematica