Graphics Render Examples

Graphics Render Examples

Here are some more Render Examples.

Cardioid Examples

Following the "the midpoints of the circles lie on the perimeter of the fixed generator circle" method to draw a cardioid:

1) Choose a circle c and a point p on its perimeter, 2) Draw circles containing point p with centers on the perimeter of circle c

Example 1

numpoints=50;
pts=MAKEPOLYGONPOINTS(numpoints,[50,50],[200,200], 270)
start=pts[0];
circlesat=
	pts
		.map(
			p=>[p[0],p[1],SQRT(POWER(p[0]-start[0],2)+POWER(p[1]-start[1],2))]
		)

RENDER(
	[
		["type","cx","cy","r","stroke","stroke-width","count"],
		["circle",circlesat.column(0),circlesat.column(1),circlesat.column(2),"red",1,circlesat.length]
	]
)
""

Cycloid (fig.1)

Example 2

numpoints=50;
pts=MAKEPOLYGONPOINTS(numpoints,[30,50],[200,200], 150)
start=pts[0];
circlesat1=
	pts
		.map(
			p=>[p[0],p[1],SQRT(POWER(p[0]-start[0],2)+POWER(p[1]-start[1],2))]
		)

pts=MAKEPOLYGONPOINTS(numpoints,[70,70],[500,200], 0)
start=pts[0];

circlesat2=
	pts
		.map(
			p=>[p[0],p[1],SQRT(POWER(p[0]-start[0],2)+POWER(p[1]-start[1],2))]
		)

cycloids = RENDER(
	[
		["id","type","cx","cy","r","stroke","stroke-width","count"],
		["cycloid1","circle",circlesat1.column(1),circlesat1.column(0),circlesat1.column(2),"red",1,circlesat1.length],
		["cycloid2","circle",circlesat2.column(1),circlesat2.column(0),circlesat2.column(2),"red",1,circlesat2.length]
	]
)
;
RENDER(
	[
		["id"		, "animate","animationsettings"],
		["cycloid1"	, "animate",[["loop","rotate","duration","easing"],[true,-360,5*1000,"linear"]]]	,
		["cycloid2"	, "animate",[["loop","rotate","duration","easing"],[true,360,5*1000,"linear"]]]
	]                                       
	,
	cycloids
)
""

Two Cycloids (fig.2)