Talk:Cayley's sextic

Latest comment: 6 years ago by Loraof in topic Parametric representation

More edit

  • Paper it was discussed in first - note on anharmonic ratio sextic??
  • 2 cartesian equations (or more)
  • applications - quantum physics? Or is that better in sinusoidal spirals?
  • Bibliography?
  • Image

All the best, Rich Farmbrough, 13:37, 9 April 2014 (UTC).Reply

Two-dimensional curve? edit

What does "two-dimensional curve" mean? Should it be "plane curve"? Deltahedron (talk) 21:28, 10 April 2014 (UTC)Reply

If you wish. All the best, Rich Farmbrough, 04:25, 11 April 2014 (UTC).Reply

Parametric representation edit

The section Cayley's sextic#Equations of the curve says

Cayley's sextic may be parametrised (as a periodic function, period π ℝ→ℝ2) by the equations
  • x = cos3t cos 3t
  • y = cos3t sin 3t.
The node is at t = ±π/3.

This seems wrong in two respects. First, the equation as previously presented in Cartesian or polar form has a parameter a that is missing here. Second, according to the displayed graph, the node is at (0,0), while this says the node is at (–1/8, 0). Loraof (talk) 23:16, 22 April 2018 (UTC)Reply