Tag: spirograph

• The evolution of the astroid pattern on the spirograph

  Here is a MetaPost generated picture of the first 14% or so movements of an inner circle one quarter of the size of the outer circle (as might be found on a spirograph). This eventually generates the astroid pattern. The red arrows follow the movement of a fixed point on the smaller circle – as…

  Adrian McMenamin

  September 5, 2012

  Uncategorized

  astroid, maths, MetaPost, spirograph

• The maths of the spirograph… with the drawings

  Well, I sat down and thought this was going to be easy, but it has taken me three hours to work the maths of a smaller inner wheel rolling around inside a large outer wheel: mainly because for the first two of those I neglected the basic insight that the inner wheel rolls in the…

  Adrian McMenamin

  September 5, 2012

  Uncategorized

  aleph null, astroid, deltoid, Infinity, irrational numbers, maths, rational numbers, spirograph, Unity

• The maths of the spirograph

  I wrote this on Saturday >> I have been reading some more of Wheels, Life and Other Mathematical Amusements: in fact I just read the rest of the first chapter on wheels. And so now I know about the maths of the spirograph.   << Since then I have been fitfully working out how to…

  Adrian McMenamin

  September 5, 2012

  Uncategorized

  maths, MetaPost, spirograph