dragonCurve / 1

dragonCurve / 1

about dragon curve：

from wiki : https://en.wikipedia.org/wiki/Dragon_curve

Heighway dragon

         

The Heighway dragon (also known as the Harter–Heighway dragon or the Jurassic Park dragon) was first investigated by NASA physicists John Heighway, Bruce Banks, and William Harter. It was described by Martin Gardner in his Scientific Americancolumn Mathematical Games in 1967. Many of its properties were first published byChandler Davis and Donald Knuth. It appeared on the section title pages of theMichael Crichton novel Jurassic Park.

                  Construction

                  [                   edit]         

It can be written as a Lindenmayer system with

• angle 90°

• initial string FX

• string rewriting rules

  • X ↦ X+YF+

  • Y ↦ −FX−Y.

That can be described this way : Starting from a base segment, replace each segment by 2 segments with a right angle and with a rotation of 45° alternatively to the right and to the left:

tools : rhino grasshopper python

result

gh component

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