Difference between revisions of "RENDER Examples"
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Points around a circle is then used to draw circles with radii that equals the distance between the point and the original first point on the circle. | Points around a circle is then used to draw circles with radii that equals the distance between the point and the original first point on the circle. | ||
| − | Refer to [https://divisbyzero.com/2018/04/02/i-heart-cardioids/#:~:text=Roll%20a%20circle%20around%20another,of%20the%20most%20unexpected%20places.] (A Cardioid as an Envelope of Lines) | + | Refer to [https://divisbyzero.com/2018/04/02/i-heart-cardioids/#:~:text=Roll%20a%20circle%20around%20another,of%20the%20most%20unexpected%20places.] (A Cardioid as an Envelope of Lines) [It turns out that we can construct the cardioid as the envelope of curves, and we can do so in a number of different ways. For instance, pick a point P on a circle (the blue circle below, say). Draw circles with centers on the original circle that pass through P. The envelope of these circles is a cardioid.] |
| + | |||
<pre> | <pre> | ||
Revision as of 12:02, 3 November 2020
ZCubes Render Examples
ZCubes Render feature allows users to make fascinatingly complex drawings and animations by simply using the spreadsheet, array or table features.
Example 1
Draw two circles with radii as given.
RENDER(
[
["type","size"],
["circle",100],
["circle",200]
]
)
Example 2
Draw ten circles with radii as per the function given. Note that each ith circle will have the radius as given by the function. Note the use of count column to specify the number of circles to be generated.
RENDER(
[
["type","size","count"],
["circle",(i)=>100+i*10,10]
]
)
""
Example 3
Generating American Flag using RENDER feature.
// american flag 4 final
RENDER(
[
["type","x","y", "width","height","fill", "count","shape","id","href","sides","size"],
["rect",10,(i)=>i*20, 400, 20, (i)=>(i%2)?"white":"red" ,13,,,,,],
["rect",10, 0, 200, 140, "blue" ,1,,,,,],
["star",50, 0, 200, 140, "white" ,1,true,"star11","","12",10],
["use",(i)=>((i)%6)*30+30, (i)=>((i).intdiv(6))*25+15, 300, 140, "white" ,6*5,false,"","star11","",300],
["use",(i)=>((i)%5)*30+20+25, (i)=>((i).intdiv(5))*25+20+10, 300, 140, "white" ,4*5,false,"","star11","",300]
]
)
""
Example 4
Indian Flag
RENDER(
[
["type","x","y", "width","height","fill", "count","shape","id","href","sides","size","cx","cy","r","stroke","stroke-width","points","transform"],
["rect",10,(i)=>i*90, 400, 90, ["orange","white","green"] ,3,,,,,,],
["circle",,,,, ,1,,,,,,200,135,40,"blue",5,],
["circle",,,,, ,1,,,,,,200,135,5,"blue",10,],
["polyline",,,,, "blue" ,24,,,,,,,,,"blue",1,i=>[200,135,199,120, 200,95,201,120,200,135],(i=>({"rotation":(i+1)/24*360,"cx":200,"cy":135})) ],
]
);
""
Example 5
x=500..0..-10 a=x.mergerows(0..0); b=x.mergerows(0..0).m(r=>r.reverse()).reverse(); c=a.mergerows(b) d=c.m(r=>["line",r]) ab=RENDER(d) e=d.map(r=>[r[0],[r[1][0],500-r[1][1],500-r[1][2],r[1][3]]]) RENDER(e,ab) ""
Example 6
Magic Square Number Array Size Comparison
RENDER( [ ["type","r","cx","cy","count"], ["circle",(i,j,d)=>d,(i,j,d)=>50+i*50,(i,j,d)=>50+j*100,MS(4)] ] ) ""
Example 6
Animation Demo
RENDER(
[
["type" , "size" , "coordinates" , "stroke" , "fill" , "label", "transform","animate","animationsettings"],
["circle" , 50 , [300,200] , "red" , "yellow" , "CenterOf", {translateX:100,rotate:50}],
//[1 , 100 , [100,100] , "red" , "green" , "CenterOf",
//[1 , null , null , "red" , "green" , "CenterOf",
//[1 , null , null , 'rgba(255, 0, 0, 0.7)' , 'rgba(0, 255, 0, 0.7)' , "CenterOf",
//[1 , null , [250,450] , 'rgba(255, 0, 0, 0.7)' , 'rgba(0, 255, 0, 0.7)' , "CenterOf",
[1 , 300 , [250,450] , 'rgba(255, 0, 0, 0.7)' , 'rgba(0, 255, 0, 0.7)' , "CenterOf",
{translateX:50,rotate:90},
"animate",
{
duration: 1000,
delay: 1000,
loop: true
// when: 'now',
// swing: true,
// times: 5,
// wait: 200
}
],
["line" , null , [100,10,200,100] , "yellow" , "blue" , "Line Center" ],
["text" , "HELLO" , [300,200] , "yellow" , "brown" , "" ],
["polygon" , null , [[100,100],[200,200],[300,200]] , "yellow" , "green" , "TEST POLY" ],
["path" , null , "M0 0 H50 A20 20 0 1 0 100 50 v25 C50 125 0 85 0 85 z" , "yellow" , "blue" , "TEST POLY" ],
[null , null , "M0 0 V50 A60 20 0 1 0 100 50 v125 C150 125 0 85 0 185 z" ,null , null , null,
null,//{translateX:50,rotate:90},
"animate",
{
duration: 1000,
delay: 1000,
loop: true
// when: 'now',
// swing: true,
// times: 5,
// wait: 200
}
],
["rect" , null , [[200,100],[200,200]] , "orange" , "skyblue" , "TEST RECT" ],
["TEXTPATH" , null , "M0 0 H50 A20 20 0 1 0 100 50 v25 C50 125 0 85 0 85 z" , "blue" , "moccasin" , "TEST TXT PATH" ]
]
)
Example 6
Circles at Polygon Points
// circle around polygon points
pts=MAKEPOLYGONPOINTS(50,200)
RENDER(
[
["type","cx","cy","r","stroke","stroke-width","fill","count"],
["circle",i=>200+pts[i][0],i=>200+pts[i][1],15,"red",1,i=>i%2?"red":"yellow",pts.length]
]
)
""
Example 7
Magic Square Mapping with Labels
RENDER( [ ["type","r","cx","cy","label","count"], ["circle",(i,j,d)=>d,(i,j,d)=>i*50+50,(i,j,d)=>j*100+50,(i,j,d)=>d+"",MS(4)] ] ) ""
Example 8
Analog Clock
// clock clockx=RENDER( [ ["id","type","coordinates","width","height","fill","count","label","transform-origin"], ["","rect",POLYPOINTS(12,100,100,-90+360/12), 10,10,"red",12,i=>i+1,], ["hour","line",[110,110,110,50], ,,"blue",,,[110,110]], ["minute","line",[110,110,110,40], ,,"green",,,[110,110]], ["second","line",[110,110,110,20], ,,"red",,,[110,110]] ] ); RENDER( [ ["id","animate","animationsettings"], ["hour" ,"animate",[["loop","rotate","duration","easing"],[true,360,12*60*60*1000,"linear"]]] , ["minute" ,"animate",[["loop","rotate","duration","easing"],[true,360,60*60*1000,"linear"]]], ["second" ,"animate",[["loop","rotate","duration","easing"],[true,360,60*1000,"linear"]]] ] , clockx ) ""
Example 9
Gears Animation
gearsx=RENDER( [ ["id","type","points","width","height","fill","count","label","transform-origin"], ["gear1","polygon",POLYPOINTS(12,100,100,-90+360/12).rowpush(POLYPOINTS(12,80,100,-90+360/12)).flatten().chunks(2), 10,10,"red",1,i=>i+1,[100,100]], ["gear2","polygon",POLYPOINTS(12,100,[300-10,100],-90+360/12).rowpush(POLYPOINTS(12,80,[300-10,100],-90+360/12)).flatten().chunks(2), 10,10,"red",1,i=>i+1,[300-10,100]] ] ); RENDER( [ ["id" , "animate","animationsettings"], ["gear1" , "animate",[["loop","rotate","duration","easing"],[true,-360,5*1000,"linear"]]] , ["gear2" , "animate",[["loop","rotate","duration","easing"],[true,360,5*1000,"linear"]]] ] , gearsx ) ""
Example 10
Phases of the Moon (WIP)
PhasesOfMoon=RENDER( [ ["id","type","coordinates","r","fill","count","transform-origin"], ["","circle",POLYPOINTS(8,100,100,-90+360/8), 25,"https://upload.wikimedia.org/wikipedia/commons/thumb/e/e1/FullMoon2010.jpg/1024px-FullMoon2010.jpg",8,[100,100]] ] ); ""
Example 11
Atomic Structure
Atomx=RENDER( [ ["id" ,"class" ,"type" ,"coordinates" ,"r" ,"fill" ,"count","transform-origin" ,"cx" ,"cy" , "animate" ,"animationsettings" ], ["" ,"electrons1" , "circle",POLYPOINTS(2,50,200,-90+360/2) , 8 ,"red" ,2 , [100,100] , , , , ], ["" ,"electrons2" , "circle",POLYPOINTS(8,100,200,-90+360/8), 8 ,"blue" ,8 , [100,100] , , , , ], ["nucleus" ,"" , "circle", , 20 ,"green", , [100,100] ,200 ,200 , , ], ["orbit1" ,"" , "circle", , 50 , , , [100,100] ,200 ,200 , , ], ["orbit2" ,"" , "circle", , 100 , , , [100,100] ,200 ,200 , , ], [".electrons1" ,"" , "" , , , , , , , ,"animate" , [ ["loop" ,"cx" ,"cy" ,"duration" ,"easing", "delay" ], [true ,"#orbit1" ,"#orbit1" ,2*1000 ,"linear", anime.stagger(1000) ] ] ], [".electrons2" ,"" , "" , , , , , , , ,"animate" , [ ["loop" ,"cx" ,"cy" ,"duration" ,"easing", "delay" ], [true ,"#orbit2" ,"#orbit2" ,8*1000 ,"linear", anime.stagger(1000) ] ] ] ] ); "" ""
Example 11
Sodium structure:
RENDER( [ ["type","x","y","fill","cx","cy","r","stoke","stoke-width"], ["circle",,,,200,150,130,"yellow",30], ["circle",,,,200,150,100,"yellow",30], ["circle",,,,200,150,70,"yellow",30], ["circle",,,"yellow",200,150,30,"yellow",30], ["circle",,,"blue",200,80,10,"yellow",30], ["circle",,,"blue",200,220,10,"yellow",30], ["circle",,,"blue",200,50,10,"yellow",30], ["circle",,,"blue",200,250,10,"yellow",30], ["circle",,,"blue",100,160,10,"yellow",30], ["circle",,,"blue",300,160,10,"yellow",30], ["circle",,,"blue",120,90,10,"yellow",30], ["circle",,,"blue",280,90,10,"yellow",30], ["circle",,,"blue",270,220,10,"yellow",30], ["circle",,,"blue",130,220,10,"yellow",30], ["circle",,,"blue",200,20,10,"yellow",30], ] ) ""
Example 12
Grid of Circles
GridPointsx=RENDER( [ ["id","type","coordinates","r","fill","count","transform-origin"], ["","circle",GRIDPOINTS(10,100), 20,"red",IM(10),[100,100]] ] ); ""
Example 12
Phases of Moon (WIP)
PhasesOfMoon=RENDER( [ ["id","type","coordinates","r","fill","count","transform-origin","stroke-width"], ["","circle",POLYPOINTS(8,100,150,-90+360/8), 25,"https://upload.wikimedia.org/wikipedia/commons/thumb/e/e1/FullMoon2010.jpg/1024px-FullMoon2010.jpg",8,[100,100],10] ] ); ""
.png)
Example 12
Triangle Segment Lines
triangle=POLYPOINTS(3,100,100); s=LINESPLIT(triangle,10,true) lines1=(s[0].rowpush(s[1])).m(r=>r.flatten()) lines2=(s[1].rowpush(s[2])).m(r=>r.flatten()) lines3=(s[2].rowpush(s[0])).m(r=>r.flatten()) var d= [ ["type","coordinates","count"], ["line",lines1,lines1.length], ["line",lines2,lines2.length], ["line",lines3,lines3.length] ] RENDER(d) ""
Larger Figure
triangle=POLYPOINTS(3,500,500); s=LINESPLIT(triangle,100,true) lines1=(s[0].rowpush(s[1])).m(r=>r.flatten()) lines2=(s[1].rowpush(s[2])).m(r=>r.flatten()) lines3=(s[2].rowpush(s[0])).m(r=>r.flatten()) var d= [ ["type","coordinates","count"], ["line",lines1,lines1.length], ["line",lines2,lines2.length], ["line",lines3,lines3.length] ] RENDER(d) ""
Example 13
Gradient Colors
RENDER( [ ["type","x","y","width","height","fill"], ["rect",100,100,200,140,["blue","green"]] ] ) ""
RENDER( [ ["type","x","y","width","height","fill"], ["rect",100,100,200,140,["blue","green","red","radial"]] ] ) ""
RENDER( [ ["type","x","y","width","height","fill","count"], ["rect",i=>i*50, i=>i*50, 200,140,i=>["blue","green"],12], ] ) ""
Example 14
Rounded Rectangle/Square
RENDER( [ ["type","x","y","rx","ry","width","height","fill","stroke","stroke-width"], ["rect",50,20,20,20,150,150,"purple","green",5], ] ); ""
Example 15
Polygon
RENDER( [ ["type","points","stroke","stroke-width","fill"], ["polygon",[220,10 300,210 170,250 123,234,100,200,140],"red",5,["green","blue","lime"]], ] ) ""
Example 16: Cardioid from Circles
Points around a circle is then used to draw circles with radii that equals the distance between the point and the original first point on the circle.
Refer to [1] (A Cardioid as an Envelope of Lines) [It turns out that we can construct the cardioid as the envelope of curves, and we can do so in a number of different ways. For instance, pick a point P on a circle (the blue circle below, say). Draw circles with centers on the original circle that pass through P. The envelope of these circles is a cardioid.]
// circle around polygon points noofpoints=50; pts=MAKEPOLYGONPOINTS(noofpoints,[100,100],[300,300],-90) 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] ] ) ""
Using color schemes to color the circles. More color schemes can be obtained using notations at d3-scale-chromatic
// circle around polygon points noofpoints=50; pts=MAKEPOLYGONPOINTS(noofpoints,[100,100],[300,300],-90) 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), d3.scaleOrdinal(d3.schemeBlues[9]),1,circlesat.length] ] ) ""
Using color schemes such as d3.interpolateInferno. This takes a 0-1 range of value.
// circle around polygon points noofpoints=50; pts=MAKEPOLYGONPOINTS(noofpoints,[100,100],[300,300],-90) 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), i=>d3.interpolateInferno(i/circlesat.length) ,1,circlesat.length] ] ) ""
Using Fill also using color scheme.
// circle around polygon points noofpoints=50; pts=MAKEPOLYGONPOINTS(noofpoints,[100,100],[300,300],-90) 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","fill","stroke-width","count"], ["circle",circlesat.column(0),circlesat.column(1),circlesat.column(2), i=>d3.interpolateInferno(i/circlesat.length) ,i=>d3.interpolateInferno(i/circlesat.length),1,circlesat.length] ] ) ""