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: Two Circles
Draw two circles with radii as given.
RENDER(
[
["type","size"],
["circle",100],
["circle",200]
]
)
Example 2: Ten Circles
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: American Flag
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
Generating Indian Flag using RENDER feature.
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: Graphics Model
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
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
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
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
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
Generates Analog Clock with Render Feature.
// 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
Generates 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
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
Generates 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
Generates Sodium structure with Render Feature
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
Gives the 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
Generates the 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
Generate 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
Generates 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 Quadrilaterals
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
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] ] ) ""