Manuals/calci/LISSAJOUS - Revision history

Devika: /* See Also */

2019-02-28T20:58:09Z

Devika: /* Examples */

2017-08-23T22:20:34Z

Examples

Devika at 22:45, 22 August 2017

2017-08-22T22:45:04Z

Devika: Created page with "
'''LISSAJOUS (TypeOrSettings,AsTable)'''

* $TypeOrSettings$ is any type like Ellipse or circle and so on. ==Description== *Th..."

2017-08-22T22:18:54Z

Created page with "<div style="font-size:30px">'''LISSAJOUS (TypeOrSettings,AsTable)'''</div><br/> *<math>TypeOrSettings</math> is any type like Ellipse or circle and so on. ==Description== *Th..."

New page

<div style="font-size:30px">'''LISSAJOUS (TypeOrSettings,AsTable)'''</div><br/>
*<math>TypeOrSettings</math> is any type like Ellipse or circle and so on.

==Description==
*This function shows the values of the Lissajous curve.
*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: In the Lissajous equation,a=1,b=1,A=1,B=1 and <math>\delta</math> = <math>\frac{\pi}{2}</math> radians, the figure is a circle.
*So these values substitute in the equation and it will shows the result.With the above values when <math>\delta</math>=0,then the value will show for line.
*In the same way the ratio <math>\frac{a}{b}</math>=1 and <math>\delta</math>=0,then the values will be shown for ellipse.
*Suppose <math>\frac{a}{b}</math> = 2, <math>\delta</math> = <math>\frac{\pi}{4}</math>, then the values will show for 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/LISSAJOUSCURVE| LISSAJOUSCURVE ]]

==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 22:20, 23 August 2017
Line 15:		Line 15:

	==Examples==		==Examples==
		+	# LISSAJOUS("circle",4..6)
		+	{\| class="wikitable"
		+	\|-
		+	\| 4.999998731727338 \|\| 1
		+	\|-
		+	\|4.98033339924072 \|\| 1.3993336665873126
		+	\|-
		+	\|4.9208978911521815 \|\| 1.7946773231802449
		+	\|-
		+	\|4.822286067411776 \|\| 2.1820808266453584
		+	\|-
		+	\|4.685483224765582 \|\| 2.5576733692346023
		+	\|-
		+	\|4.511856251996312 \|\| 2.917702154416812
		+	\|-
		+	\|4.303139972422432 \|\| 3.2585698935801415
		+	\|-
		+	\|4.061419810117014 \|\| 3.576870748950764
		+	\|-
		+	\|3.789110953039751 \|\| 3.8694243635980907
		+	\|-
		+	\|3.48893422127722 \|\| 4.133307638509933
		+	\|-
		+	\|3.163888881507954 \|\| 4.365883939231585
		+	\|-
		+	\|2.817222679321226 \|\| 4.564829440245742
		+	\|-
		+	\|2.4523993888166733 \|\| 4.728156343868905
		+	\|-
		+	\|2.073064203718472 \|\| 4.854232741668772
		+	\|}
		+	and so on.

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

@@ Line 47: / Line 47: @@
 |}
 and so on.
 ==See Also==
@@ Line 52: / Line 56: @@
 *[[Manuals/calci/FRACTAL | FRACTAL ]]
 *[[Manuals/calci/LISSAJOUSCURVE| LISSAJOUSCURVE ]]
 ==References==

Manuals/calci/LISSAJOUS - Revision history

Devika: /* See Also */

Devika: /* Examples */

Devika at 22:45, 22 August 2017

Devika: Created page with "'''LISSAJOUS (TypeOrSettings,AsTable)''' *TypeOrSettings is any type like Ellipse or circle and so on. ==Description== *Th..."

Devika: Created page with "
'''LISSAJOUS (TypeOrSettings,AsTable)'''

* $TypeOrSettings$ is any type like Ellipse or circle and so on. ==Description== *Th..."