Manuals/calci/LISSAJOUSCURVE - Revision history

Devika: /* See Also */

2019-02-28T20:58:49Z

Devika at 22:05, 1 August 2018

2018-08-01T22:05:50Z

Devika: /* Examples */

2017-08-23T22:50:11Z

Examples

Devika: /* Examples */

2017-08-23T22:49:36Z

Examples

Devika: /* Examples */

2017-08-23T22:45:52Z

Examples

Devika: /* Description */

2017-08-23T22:36:22Z

Description

Devika: Created page with "
'''LISSAJOUSCURVE()'''

==Description== This function shows the Lissajous curve for each values. Lissajous Curve is a parametric plo..."

2017-08-22T22:32:53Z

Created page with "<div style="font-size:30px">'''LISSAJOUSCURVE()'''</div><br/> ==Description== *This function shows the Lissajous curve for each values. *Lissajous Curve is a parametric plo..."

New page

<div style="font-size:30px">'''LISSAJOUSCURVE()'''</div><br/>

==Description==
*This function shows the Lissajous curve for each values.
*Lissajous Curve is a parametric plot of the harmonic system.
*It is also called Bowditch Curves.Lissajous used sounds of different frequencies to vibrate a mirror.
*A beam of light reflected from the mirror, was allowed to trace patterns which depended on the frequencies of the sounds – in a setup similar to projectors used in today's laser light shows.
*Lissajous figure is the intersection of two sinusoidal curves, the axes of which are at right angles to each other.
*Mathematically, this translates to a Complex harmonic function:The appearance of a figure is highly sensitive to a/b, the ratio of a and b.
*According to the ratio value, the shapes of the figures change in interesting ways.
*For a a/b ratio=1, the figure is an ellipse.
*For a=b, <math>\delta</math> = <math>\frac{\pi}{2}</math> radians, the figure is a circle.
*For <math>\delta</math> = 0, the figure is a line.
*For a/b = 2, <math>\delta</math> = <math>\frac{\pi}{4}</math>, the result is a parabola.
*The Lissajous curve gets more complicated for other ratios, which are closed only if a/b is rational.

==Examples==

==See Also==
*[[Manuals/calci/FRACTAL | FRACTAL ]]
*[[Manuals/calci/LISSAJOUS| LISSAJOUS ]]

==References==
*[https://en.wikibooks.org/wiki/Trigonometry/For_Enthusiasts/Lissajous_Figures Lissajous]

*[[Z_API_Functions | List of Main Z Functions]]

*[[ Z3 | Z3 home ]]

← Older revision		Revision as of 22:05, 1 August 2018
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−	<div style="font-size:30px">'''LISSAJOUSCURVE()'''</div><br/>	+	<div style="font-size:30px">'''LISSAJOUSCURVE (Type,Div,Settings) '''</div><br/>
		+	*<math>Type</math> is the Type of the curve.

@@ Line 19: / Line 19: @@
 ==Examples==
-. LISSAJOUSCURVE("ellipse")
+# LISSAJOUSCURVE("ellipse")
-[[File:Lissajous_Curve.png]]
+ [[File:Lissajous_Curve.png]]
 ==See Also==

@@ Line 20: / Line 20: @@
 ==Examples==
 . LISSAJOUSCURVE("ellipse")
-[http://wiki.zcubes.com/File:Lissajous_Curve.png]
+[[File:Lissajous_Curve.png]]
 ==See Also==

← Older revision		Revision as of 22:45, 23 August 2017
Line 19:		Line 19:

	==Examples==		==Examples==
		+	1. LISSAJOUSCURVE("ellipse")
		+	[http://wiki.zcubes.com/File:Lissajous_Curve.png]

	==See Also==		==See Also==

@@ Line 22: / Line 22: @@
 # LISSAJOUSCURVE("ellipse")
   [[File:Lissajous_Curve.png]]
 ==See Also==
 *[[Manuals/calci/FRACTAL | FRACTAL ]]
 *[[Manuals/calci/LISSAJOUS| LISSAJOUS ]]
 ==References==

@@ Line 8: / Line 8: @@
 *A beam of light reflected from the mirror, was allowed to trace patterns which depended on the frequencies of the sounds – in a setup similar to projectors used in today's laser light shows.
 *Lissajous figure is the intersection of two sinusoidal curves, the axes of which are at right angles to each other.
-*Mathematically, this translates to a Complex harmonic function:The appearance of a figure is highly sensitive to a/b, the ratio of a and b.
+*Mathematically, this translates to a Complex harmonic function:
 *According to the ratio value, the shapes of the figures change in interesting ways.
 *For a a/b ratio=1, the figure is an ellipse.

Manuals/calci/LISSAJOUSCURVE - Revision history

Devika: /* See Also */

Devika at 22:05, 1 August 2018

Devika: /* Examples */

Devika: /* Examples */

Devika: /* Examples */

Devika: /* Description */

Devika: Created page with "'''LISSAJOUSCURVE()''' ==Description== *This function shows the Lissajous curve for each values. *Lissajous Curve is a parametric plo..."

Devika: Created page with "
'''LISSAJOUSCURVE()'''

==Description== This function shows the Lissajous curve for each values. Lissajous Curve is a parametric plo..."