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Cool Graphs

Cool Graph Equations


Displaying 1-17 of 17 polar graphs.

  • Chinese Star

    Equation:

     Algebraic: 9 * sin(5 * θ)^2 - 2 * cos(θ)^4
     English: 9 times the quantity sine of 5 theta squared minus 2 times the cosine of theta raised to the fourth power
     Pretty Print:

    Screenshot:



  • Star

    Equation:

     Algebraic: sin(2 * θ ) - 6 * cos(6 * θ )^3
     English: The sine of 2 theta minus 6 times the (cosine of 6 theta) cubed.
     Pretty Print:

    Screenshot:



  • Da Vinci Human Model

    Equation:

     Algebraic: sin(954 * θ) - 2 * cos(&theta);
     English: The sine of 954 θ minus 2 times the cosine of θ
     Pretty Print:

    Screenshot:



  • Explosion

    Equation:

     Algebraic: cos(14 * θ)^3
     English: The (cosine of 14 θ) cubed.
     Pretty Print:

    Screenshot:



  • The Angel

    Equation:

     Algebraic: ( cos(2 * θ) * sin(2 * θ) ) / θ
     English: The product of the cosine of 2 θ and the sine of 2 θ divided by θ
     Pretty Print:

    Screenshot:



  • The Butterfly

    Equation:

     Algebraic: e^(cos(θ)) - 2 * cos(4 * θ) + sin(θ / 4)^3
     English: e to the power of cosine of θ minus 2 times the cosine of 4 θ plus the (sine of θ over 4) cubed.
     Pretty Print:

    Settings:

     θmin: 0
     θmax: 8 * π
     xmin: -4
     xmax: 4
     ymin: -4
     ymax: 4

    Screenshot:



  • Double Heart

    Equation:

     Algebraic: 8 * sin(2 * θ / 5)
     English: 8 times the sine of two-fifths θ.
     Pretty Print:

    Settings:

     θmin: 0
     θmax: 5 * π

    Screenshot:



  • Bowtie

    Equation:

     Algebraic: abs(log(ln(tan(cos(sin(θ)^10)))))
     English: The absolute value of the common logorithm of the natural logarithm of the tangent of the cosine of the (sine of θ) raised to the tenth.
     Pretty Print:

    Settings:

     Zoom: ZoomStd, ZoomIn with Center (0,0)

    Screenshot:



  • Etch-a-Sketch Star

    Equation:

     Algebraic: sin(5 * θ)
     English: The sine of 5 θ.
     Pretty Print:

    Settings:

     θmax: 1000
     θstep: 10
     Zoom: ZoomFit

    Screenshot:



  • Slinky

    Equation:

     Algebraic: sin(11 * θ / 10)
     English: The sine of 11 tenths θ
     Pretty Print:

    Settings:

     θmin: 0
     θmax: 10 * π
     xmin: -2
     xmax: 2
     ymin: -1
     ymax: 1

    Screenshot:



  • Interwoven Spiral

    Equation:

     Algebraic: r1(θ) = 1 / √ (θ)
    r2(θ) = -r1(θ)
     English: r1(θ) = 1 over the square root of θ
    r2(θ) = the negation of the function r1 of θ.
     Pretty Print:

    Settings:

     θmin: π / 50
     θmax: 4 * π
     θstep: π / 50
     Zoom: ZoomFit

    Screenshot:



  • The Diamond

    Equation:

     Algebraic: sin(19 * θ / 20)
     English: The sine of 19 twentieths θ.
     Pretty Print:

    Settings:

     θmin: 0
     θmax: 7200
     θstep: 90
     xmin: -1
     xmax: 1
     ymin: -1
     ymax: 1
     Zoom: ZoomSqr
     Angle Mode: Degrees

    Screenshot:



  • The Sphere

    Equation:

     Algebraic: sin(19 * θ / 20)
     English: The sine of 19 twentieths θ.
     Pretty Print:

    Settings:

     θmin: 0
     θmax: 7200
     θstep: 15
     xmin: -1
     xmax: 1
     ymin: -1
     ymax: 1
     Zoom: ZoomSqr
     Angle Mode: Degrees

    Screenshot:



  • The Spiderweb

    Equation:

     Algebraic: sin(19 * θ / 20)
     English: The sine of 19 twentieths θ.
     Pretty Print:

    Settings:

     θmin: 0
     θmax: 7200
     θstep: 45
     xmin: -1
     xmax: 1
     ymin: -1
     ymax: 1
     Zoom: ZoomSqr
     Angle Mode: Degrees

    Screenshot:



  • The Mosquito

    Equation:

     Algebraic: -sin(cos(tan(θ)))
     English: Negative sine of the cosine of the tangent of θ.
     Pretty Print:

    Settings:

     θmin: 0
     θmax: 2 * π
     xmin: -1
     xmax: 1
     ymin: -1
     ymax: 1

    Screenshot:



  • The Spiral

    Equation:

     Algebraic: θ / 720
     English: The quotient of θ and 720.
     Pretty Print:

    Settings:

     θmin: 0
     θmax: 8640
     θstep: 61
     Angle Mode: Degree
     Zoom: ZoomDec, ZoomOut with (0,0) Center

    Screenshot:



  • Cloverleaf Highway

    Equation:

     Algebraic: 10 - tan(2 * θ)
     English: 10 minus the tangent of 2 θ.
     Pretty Print:

    Settings:

     Zoom: ZoomStd, ZoomOut with (0,0) Center.

    Screenshot:



 

Standard Graph Mode Settings

  • ZoomStd
  • Angle Measure in Radians
  • AxesOff
  • Wire Frame (for 3-D Graphs)

When no settings are given, use the above settings.


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