Results 1 to 2 of 2

Math Help - Equation for a butterfly-shaped sine wave?

  1. #1
    Member
    Joined
    Sep 2009
    Posts
    242
    Thanks
    1

    Equation for a butterfly-shaped sine wave?

    I have here a mysterious sine wave that when plotted in polar coordinates produces a cool butterfly shape.

    I would like to know the equation for this sine wave.

    Known: the wave period and the maxima and minima of the wave amplitudes. Is it possible to derive the equation from this info?

    (See thumbnails or MS Word attachment)

    Thanks,
    Rainer
    Attached Thumbnails Attached Thumbnails Equation for a butterfly-shaped sine wave?-sin-wave1.bmp   Equation for a butterfly-shaped sine wave?-sine-wave-2.bmp  
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    Here is an equation of a butterfly curve in polar.

    r=e^{cos({\theta})}-2cos(4{\theta})+sin^{3}(\frac{\theta}{4})

    This produces:
    Attached Thumbnails Attached Thumbnails Equation for a butterfly-shaped sine wave?-butterfly.jpg  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Points on a sine wave
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 22nd 2011, 10:19 AM
  2. General Sine Wave
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: November 25th 2010, 05:28 PM
  3. square sine wave
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: September 30th 2009, 04:04 AM
  4. csc (inverse sine) wave approximation
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: September 23rd 2009, 10:42 AM
  5. Replies: 2
    Last Post: November 6th 2007, 12:05 PM

Search Tags


/mathhelpforum @mathhelpforum