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=ZCubes Render Examples=
 
=ZCubes Render Examples=
  
ZCubes Render feature allows users to make fascinatingly complex drawings and animations by simply using the spreadsheet, array or table features.  
+
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==
 
==Example 1: Two Circles==
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[[File:Render_Two_Circles.png]]
 
[[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==
 
==Example 2: Ten Circles==
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[[Various RENDER Examples| Various RENDER Examples]]
 
[[Various RENDER Examples| Various RENDER Examples]]
 +
 +
[[Colorsets#Color_Sets_for_Render_Functions| Additional Color Sets]]
  
 
[[ Z3 | <<  Z3 home ]]
 
[[ Z3 | <<  Z3 home ]]

Revision as of 01:27, 3 January 2021

<< 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

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]
   ]
)