Difference between revisions of "RENDER Examples"

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(Created page with " =ZCubes Render Examples== ==Example 1== <pre> 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=>["...")
 
 
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 +
[[ Z3 | <<  Z3 home ]]
  
−
=ZCubes Render Examples==
 
  
−
==Example 1==
+
=ZCubes Render Examples=
−
<pre>
 
−
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)
 
−
""
 
−
</pre>
 
  
 +
ZCubes Render feature allows users to make fascinatingly complex drawings and animations by simply using the spreadsheet, array or table features. To apply render to the last element, use RENDERX function.
  
−
==Example 2==
+
==Example 1: Two Circles==
−
<pre>
 
−
RENDER(
 
−
[
 
−
["type","size","count"],
 
−
["circle",(i)=>100+i*10,10]
 
−
]
 
−
)
 
−
""
 
−
</pre>
 
  
−
==Example 3==
+
Draw two circles with radii as given.
  
−
American Flag
+
<syntaxhighlight lang="javascript">
−
<pre>
+
RENDER(
 +
  [
 +
      ["type","size"],
 +
      ["circle",100],
 +
      ["circle",200]
 +
  ]
 +
)
 +
</syntaxhighlight>
 +
 
 +
[[File:Render_Two_Circles.png]]
 +
 
 +
Input data to render can also be given in alternative object formats or vertical formats.
 +
[[Alternative_RENDER_Input_Formats|Alternative formats]]
 +
 
 +
==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.
 +
 
 +
<syntaxhighlight lang="javascript">
 +
RENDER(
 +
  [
 +
      ["type","size","count"],
 +
      ["circle",(i)=>100+i*10,10]
 +
  ]
 +
)
 +
""
 +
</syntaxhighlight>
 +
 
 +
 
 +
[[File:Render_Ten_Circles.png]]
 +
 
 +
==Example 3: American Flag==
 +
 
 +
Generating American Flag using RENDER feature.
 
// american flag 4 final
 
// american flag 4 final
−
RENDER(
+
<syntaxhighlight lang="javascript">
−
[
+
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,,,,,],
+
      ["type","x","y",     "width","height","fill",           "count","shape","id","href","sides","size"],
−
["rect",10, 0, 200, 140, "blue" ,1,,,,,],
+
      ["rect",10,(i)=>i*20,   400,   20,   (i)=>(i%2)?"white":"red"   ,13,,,,,],
−
["star",50, 0, 200, 140, "white" ,1,true,"star11","","12",10],
+
      ["rect",10,   0,         200,   140,   "blue"                 ,1,,,,,],
−
["use",(i)=>((i)%6)*30+30, (i)=>((i).intdiv(6))*25+15, 300, 140, "white" ,6*5,false,"","star11","",300],
+
      ["star",50,   0,         200,   140,   "white"                 ,1,true,"star11","","12",10],
−
["use",(i)=>((i)%5)*30+20+25, (i)=>((i).intdiv(5))*25+20+10, 300, 140, "white" ,4*5,false,"","star11","",300]
+
      ["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]
−
)
+
  ]
−
""
+
)       
−
</pre>
+
""
 +
</syntaxhighlight>
 +
[[File:Render_American_Flag.png]]
 +
 
 +
==Example 4: Indian Flag==
 +
 
 +
Generating Indian Flag using RENDER feature.
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
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})) ],
 +
  ]
 +
);
 +
""
 +
</syntaxhighlight>
 +
 
 +
[[File:Render_Indian_Flag.png]]
 +
 
 +
==Example 5: Graphics Model==
 +
<syntaxhighlight lang="javascript">
 +
  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)
 +
  ""
 +
</syntaxhighlight>
 +
[[File:Render_Merge_Rows.png]]
 +
 
 +
==Example 6: Magic Square==
 +
Magic Square Number Array Size Comparison
 +
 
 +
<syntaxhighlight lang="javascript">
 +
 
 +
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)]
 +
]
 +
)
 +
""
 +
</syntaxhighlight>
 +
 
 +
[[File:Render_Magic_Square_Number_Array_Size_Comparison.png]]
 +
 
 +
==Example 7 :Animation Demo==
 +
Animation Demo
 +
<syntaxhighlight lang="javascript">
 +
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"  ]
 +
]
 +
)
 +
</syntaxhighlight>
 +
 
 +
[[File:Render_Animation_Demo.png]]
 +
 
 +
==Example 8: Circles at Polygon Points==
 +
Circles at Polygon Points
 +
<syntaxhighlight lang="javascript">
 +
// 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]
 +
  ]
 +
)
 +
""
 +
</syntaxhighlight>
 +
 
 +
[[File:Render_Circles_at_Poly_Points.png]]
 +
 
 +
<syntaxhighlight lang="javascript">
 +
// nics circles around polygon points
 +
pts=MAKEPOLYGONPOINTS(50,200)
 +
RENDER(
 +
  [
 +
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
 +
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],100,"black",1,i=>"transparent",pts.length]
 +
  ]
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Nics_Circles_Around_Poly_Points.png]]
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
// circle around polygon points
 +
pts=MAKEPOLYGONPOINTS(50,200)
 +
.concat(MAKEPOLYGONPOINTS(50,100))
 +
RENDER(
 +
  [
 +
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
 +
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],100,"black",1,i=>"transparent",pts.length]
 +
  ]
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Circles_Around_Poly_Points.png]]
 +
 
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
// circle around polygon points
 +
pts=MAKEPOLYGONPOINTS(50,200)
 +
.concat(MAKEPOLYGONPOINTS(50,100))
 +
.concat(MAKEPOLYGONPOINTS(50,150))
 +
RENDER(
 +
  [
 +
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
 +
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],100,"black",1,i=>"transparent",pts.length]
 +
  ]
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Circles_Around_Poly_Points_1.png]]
 +
 
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
// circle around polygon points
 +
pts=MAKEPOLYGONPOINTS(50,200)
 +
.concat(MAKEPOLYGONPOINTS(50,100))
 +
.concat(MAKEPOLYGONPOINTS(50,150))
 +
RENDER(
 +
  [
 +
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
 +
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],100,"black",1,"rgba(40,30,128,0.1)",pts.length]
 +
  ]
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Circles_Around_Poly_Points_2.png]]
 +
 
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
// circle around polygon points
 +
pts=MAKEPOLYGONPOINTS(50,200)
 +
.concat(MAKEPOLYGONPOINTS(50,100))
 +
.concat(MAKEPOLYGONPOINTS(50,150))
 +
RENDER(
 +
  [
 +
      ["type","x","y","width","height","stroke","stroke-width","fill","count"],
 +
      ["rect",i=>300+pts[i][0],i=>300+pts[i][1],100,100,"black",1,"rgba(40,30,128,0.1)",pts.length]
 +
  ]
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Circles_Around_Poly_Points_3.png]]
 +
 
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
//Circles around polygon points - another patter
 +
pts=MAKEPOLYGONPOINTS(50,100)
 +
.concat(MAKEPOLYGONPOINTS(100,200))
 +
RENDER(
 +
  [
 +
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
 +
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],50,"green",5,"rgba(40,30,128,0.1)",pts.length]
 +
  ]
 +
)
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Render_Circles_Around_Poly_Points_4.png]]
 +
 
 +
==Example 9 : Magic Square Mapping with Labels==
 +
Magic Square Mapping with Labels
 +
 
 +
<syntaxhighlight lang="javascript">
 +
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)]
 +
  ]
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Magic_Square_Mapping_with_Labels.png]]
 +
 
 +
==Example 10:Analog Clock==
 +
Generates Analog Clock with Render Feature.
 +
 
 +
<syntaxhighlight lang="javascript">
 +
// 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
 +
)
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Render_Clock.png]]
 +
 
 +
==Example 11: Gears Animation==
 +
Generates Gears Animation.
 +
 
 +
<syntaxhighlight lang="javascript">
 +
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
 +
)
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Render_Gears_Animation.png]]
 +
 
  
−
==Example 4==
+
==Example 12: Atomic Structure ==
 +
Generates Atomic Structure.
  
−
Indian Flag
+
<syntaxhighlight lang="javascript">
−
<pre>
+
 
−
// american flag 4 final
+
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) ]
 +
]
 +
]
 +
]
 +
);
 +
""
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Atomic_Structure.png]]
 +
 
 +
 
 +
===Sodium structure ===
 +
Generates Sodium structure with Render Feature
 +
 
 +
<syntaxhighlight lang="javascript">
 +
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], 
 +
  ]  
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Sodium_Structure.png]]
 +
 
 +
==Example 13: Grid of Circles==
 +
Gives the Grid of Circles.
 +
 
 +
<syntaxhighlight lang="javascript">
 +
GridPointsx=RENDER(
 +
[
 +
["id","type","coordinates","r","fill","count","transform-origin"],
 +
["","circle",GRIDPOINTS(10,100), 20,"red",IM(10),[100,100]]
 +
]
 +
 +
);
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Render_Grid_of_Circles.png]]
 +
 
 +
==Example 14: Phases of Moon==
 +
Generates the Phases of Moon (WIP)
 +
 
 +
<syntaxhighlight lang="javascript">
 +
 
 +
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]
 +
]
 +
 +
);
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Render_Phases_of_the_Moon(WIF).png]]
 +
 
 +
==Example 15: Triangle Segment Lines==
 +
Generate Triangle Segment Lines.
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
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)
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Render_Triangle_Segment_Lines1.png]]
 +
 
 +
Larger Figure
 +
 
 +
<syntaxhighlight lang="javascript">
 +
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)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Triangle_Segment_Lines2.png]]
 +
 
 +
==Example 16 : Gradient Colors==
 +
 
 +
Generates Gradient Colors.
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
RENDER(
 +
[
 +
["type","x","y","width","height","fill"],
 +
["rect",100,100,200,140,["blue","green"]]
 +
]
 +
)
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Render_Gradient_Colors.png]]
 +
 
 +
<syntaxhighlight lang="javascript">
 +
RENDER(
 +
[
 +
["type","x","y","width","height","fill"],
 +
["rect",100,100,200,140,["blue","green","red","radial"]]
 +
]
 +
)
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Render_Gradient_Colors2.png]]
 +
 
 +
<syntaxhighlight lang="javascript">
 +
RENDER(
 +
[
 +
["type","x","y","width","height","fill","count"],
 +
["rect",i=>i*50, i=>i*50, 200,140,i=>["blue","green"],12],
 +
]
 +
)
 +
""
 +
</syntaxhighlight>
 +
 
 +
[[File:Render_Gradient_Colors3.png]]
 +
 
 +
 
 +
==Example 17 : Rounded Quadrilaterals==
 +
 
 +
Rounded Rectangle/Square
 +
 
 +
<syntaxhighlight lang="javascript">
 +
 
 +
RENDER(
 +
[
 +
["type","x","y","rx","ry","width","height","fill","stroke","stroke-width"],
 +
["rect",50,20,20,20,150,150,"purple","green",5],
 +
 +
]
 +
 +
);
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Rounded_Rectangle.png]]
 +
 
 +
 
 +
==Example 18: Polygon==
 +
 
 +
Polygon
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
 
 +
RENDER(
 +
[
 +
["type","points","stroke","stroke-width","fill"],
 +
["polygon",[220,10 300,210 170,250 123,234,100,200,140],"red",5,["green","blue","lime"]],
 +
]
 +
)
 +
""
 +
 
 +
</syntaxhighlight>
 +
 
 +
[[File:Polygon.png]]
 +
 
 +
==Example 19: 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 [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.]
 +
 
 +
 
 +
<syntaxhighlight lang="javascript">
 +
 
 +
 
 +
// 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]
 +
]
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Cardiod_from_Circles1.png]]
 +
 
 +
Using color schemes to color the circles. More color schemes can be obtained using notations at [https://github.com/d3/d3-scale-chromatic d3-scale-chromatic]
 +
 
 +
<syntaxhighlight lang="javascript">
 +
// 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]
 +
]
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Cardiod_from_Circles2.png]]
 +
 
 +
Using color schemes such as d3.interpolateInferno. This takes a 0-1 range of value.
 +
 
 +
<syntaxhighlight lang="javascript">
 +
// 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]
 +
]
 +
)
 +
""
 +
</syntaxhighlight>
 +
[[File:Render_Cardiod_from_Circles3.png]]
 +
 
 +
Using Fill also using color scheme.
 +
 
 +
<syntaxhighlight lang="javascript">
 +
// 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]
 +
]
 +
)
 +
""
 +
 
 +
</syntaxhighlight>
 +
[[File:Render_Cardiod_from_Circles4.png]]
 +
 
 +
=Additional Examples WIP=
 +
 
 +
[[Graphics_Render_Examples | More illustrated RENDER examples]]
 +
 
 +
[[More_RENDER_Examples| Additional Examples ]]
 +
 
 +
[[Various RENDER Examples| Various RENDER Examples]]
 +
 
 +
[[Colorsets#Color_Sets_for_Render_Functions| Additional Color Sets]]
 +
 
 +
[[ Z3 | <<  Z3 home ]]
 +
 
 +
=Please do this change in entire page and in other parts of wiki, instead of pre to get highlight=
 +
 
 +
<syntaxhighlight lang="javascript">
 
RENDER(
 
RENDER(
−
[
+
  [
−
["type","x","y", "width","height","fill", "count","shape","id","href","sides","size","cx","cy","r","stroke","stroke-width","points","transform"],
+
      ["type","size"],
−
["rect",10,(i)=>i*90, 400, 90, ["orange","white","green"] ,3,,,,,,],
+
      ["circle",100],
−
["circle",,,,, ,1,,,,,,200,135,40,"blue",5,],
+
      ["circle",200]
−
["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})) ],
+
)
−
]
+
</syntaxhighlight>
−
);
 
−
""
 
−
</pre>
 

Latest revision as of 04:37, 13 January 2022

<< Z3 home


ZCubes Render Examples

ZCubes Render feature allows users to make fascinatingly complex drawings and animations by simply using the spreadsheet, array or table features. To apply render to the last element, use RENDERX function.

Example 1: Two Circles

Draw two circles with radii as given. 

RENDER(
   [
      ["type","size"],
      ["circle",100],
      ["circle",200]
   ]
)

Render Two Circles.png

Input data to render can also be given in alternative object formats or vertical formats. Alternative formats

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]
   ]
)
""


Render Ten Circles.png

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]
   ]
)         
""

Render American Flag.png

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})) ],
   ]
);
""

Render Indian Flag.png

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)
   ""

Render Merge Rows.png

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)]
	]
 )
""

Render Magic Square Number Array Size Comparison.png

Example 7 :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"   ]
]
)

Render Animation Demo.png

Example 8: 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]
   ]
)
""

Render Circles at Poly Points.png 

// nics circles around polygon points
pts=MAKEPOLYGONPOINTS(50,200)
RENDER(
   [
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],100,"black",1,i=>"transparent",pts.length]
   ]
)
""

Render Nics Circles Around Poly Points.png 


// circle around polygon points
pts=MAKEPOLYGONPOINTS(50,200)
.concat(MAKEPOLYGONPOINTS(50,100))
RENDER(
   [
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],100,"black",1,i=>"transparent",pts.length]
   ]
)
""

Render Circles Around Poly Points.png 


// circle around polygon points
pts=MAKEPOLYGONPOINTS(50,200)
.concat(MAKEPOLYGONPOINTS(50,100))
.concat(MAKEPOLYGONPOINTS(50,150))
RENDER(
   [
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],100,"black",1,i=>"transparent",pts.length]
   ]
)
""

Render Circles Around Poly Points 1.png 


// circle around polygon points
pts=MAKEPOLYGONPOINTS(50,200)
.concat(MAKEPOLYGONPOINTS(50,100))
.concat(MAKEPOLYGONPOINTS(50,150))
RENDER(
   [
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],100,"black",1,"rgba(40,30,128,0.1)",pts.length]
   ]
)
""

Render Circles Around Poly Points 2.png 


// circle around polygon points
pts=MAKEPOLYGONPOINTS(50,200)
.concat(MAKEPOLYGONPOINTS(50,100))
.concat(MAKEPOLYGONPOINTS(50,150))
RENDER(
   [
      ["type","x","y","width","height","stroke","stroke-width","fill","count"],
      ["rect",i=>300+pts[i][0],i=>300+pts[i][1],100,100,"black",1,"rgba(40,30,128,0.1)",pts.length]
   ]
)
""

Render Circles Around Poly Points 3.png 


//Circles around polygon points - another patter
pts=MAKEPOLYGONPOINTS(50,100)
.concat(MAKEPOLYGONPOINTS(100,200))
RENDER(
   [
      ["type","cx","cy","r","stroke","stroke-width","fill","count"],
      ["circle",i=>300+pts[i][0],i=>300+pts[i][1],50,"green",5,"rgba(40,30,128,0.1)",pts.length]
   ]
)
""

Render Circles Around Poly Points 4.png

Example 9 : 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)]
  ]
)
""

Render Magic Square Mapping with Labels.png

Example 10: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
)
""

Render Clock.png

Example 11: 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
)
""

Render Gears Animation.png


Example 12: 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)	]
																						]
		]
	]
);
""
""

Render Atomic Structure.png


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],  
   ]	   
)
""

Render Sodium Structure.png

Example 13: 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]]
	]
	
);
""

Render Grid of Circles.png

Example 14: 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]
	]
	
);
""

Render Phases of the Moon(WIF).png

Example 15: 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)
""

Render Triangle Segment Lines1.png

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)
""

Render Triangle Segment Lines2.png

Example 16 : Gradient Colors

Generates Gradient Colors. 


RENDER(
	[
		["type","x","y","width","height","fill"],
		["rect",100,100,200,140,["blue","green"]]
	]
)			
""

Render Gradient Colors.png 

RENDER(
	[
		["type","x","y","width","height","fill"],
		["rect",100,100,200,140,["blue","green","red","radial"]]
	]
)			
""

Render Gradient Colors2.png 

RENDER(
	[
		["type","x","y","width","height","fill","count"],
		["rect",i=>i*50,	i=>i*50,			200,140,i=>["blue","green"],12],
	]
)			
""

Render Gradient Colors3.png


Example 17 : 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],
		
		]
	
	);
""

Rounded Rectangle.png


Example 18: 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"]],
	]
)			
""

Polygon.png

Example 19: 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]
	]
)
""

Render Cardiod from Circles1.png

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]
	]
)
""

Render Cardiod from Circles2.png

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]
	]
)
""

Render Cardiod from Circles3.png

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]
	]
)
""

Render Cardiod from Circles4.png

Additional Examples WIP

More illustrated RENDER examples

Additional Examples

Various RENDER Examples

Additional Color Sets

<< Z3 home

Please do this change in entire page and in other parts of wiki, instead of pre to get highlight

RENDER(
   [
      ["type","size"],
      ["circle",100],
      ["circle",200]
   ]
)
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