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