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:

  

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• 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:

  

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• 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:

  

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• Explosion

  Equation:

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

  Screenshot:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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• 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:

  

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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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