Revision as of 12:32, 20 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: 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]
   ]
)
""

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 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"   ]
]
)

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]
   ]
)
""

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)]
  ]
)
""

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
)
""

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
)
""

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)	]
																						]
		]
	]
);
""
""

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 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]]
	]
	
);
""

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]
	]
	
);
""

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)
""

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 16 : 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 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],
		
		]
	
	);
""

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"]],
	]
)			
""

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]
	]
)
""

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]
	]
)
""

Additional Examples WIP

More illustrated RENDER examples

Additional Examples

Various RENDER Examples

<< Z3 home

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

@@ Line 584: / Line 584: @@
 [[ Z3 | <<  Z3 home ]]
+<syntaxhighlight lang="javascript">
+RENDER(
+   [
+      ["type","size"],
+      ["circle",100],
+      ["circle",200]
+   ]
+)
+</syntaxhighlight>

Difference between revisions of "RENDER Examples"