Revision as of 02:50, 6 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]
   ]
)
""

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]
	]
	
);
""

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]
	]
)
""

Additional Examples WIP

More illustrated RENDER examples

Additional Examples

Various RENDER Examples

<< Z3 home

@@ Line 6: / Line 6: @@
 ZCubes Render feature allows users to make fascinatingly complex drawings and animations by simply using the spreadsheet, array or table features.
-==Example 1==
+==Example 1: Two Circles==
 Draw two circles with radii as given.
@@ Line 22: / Line 22: @@
 [[File:Two_Circles.png]]
-==Example 2==
+==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.
@@ Line 38: / Line 38: @@
 [[File:Render_Ten_Circles.png]]
-==Example 3==
+==Example 3: American Flag==
 Generating American Flag using RENDER feature.
@@ Line 57: / Line 57: @@
 [[File:Render_American_Flag.png]]
-==Example 4==
+==Example 4: Indian Flag==
-Indian Flag
+Generating Indian Flag using RENDER feature.
 <pre>
@@ Line 76: / Line 76: @@
 [[File:Render_Indian_Flag.png]]
-==Example 5==
+==Example 5: Graphics Model==
 <pre>
     x=500..0..-10
@@ Line 91: / Line 91: @@
 [[File:Render_Merge_Rows.png]]
-==Example 6==
+==Example 6: Magic Square==
 Magic Square Number Array Size Comparison
@@ Line 107: / Line 107: @@
 [[File:Render_Magic_Square_Number_Array_Size_Comparison.png]]
-==Example 6==
+==Example 6 :Animation Demo==
 Animation Demo
 <pre>
@@ Line 158: / Line 158: @@
 [[File:Render_Animation_Demo.png]]
-==Example 6==
+==Example 6: Circles at Polygon Points==
 Circles at Polygon Points
 <pre>
@@ Line 173: / Line 173: @@
 [[File:Render_Circles_at_Poly_Points.png]]
-==Example 7==
+==Example 7 : Magic Square Mapping with Labels==
 Magic Square Mapping with Labels
@@ Line 187: / Line 187: @@
 [[File:Render_Magic_Square_Mapping_with_Labels.png]]
-==Example 8==
+==Example 8:Analog Clock==
-Analog Clock
+ Generates Analog Clock with Render Feature.
 <pre>
@@ Line 216: / Line 216: @@
 [[File:Render_Clock.png]]
-==Example 9==
+==Example 9: Gears Animation==
-Gears Animation
+Generates Gears Animation.
 <pre>
@@ Line 242: / Line 242: @@
 [[File:Render_Gears_Animation.png]]
-==Example 10==
+==Example 10: Phases of the Moon==
 Phases of the Moon (WIP)
@@ Line 257: / Line 257: @@
 [[File:Render_Phases_of_the_Moon.png]]
-==Example 11==
+==Example 11: Atomic Structure ==
-Atomic Structure
+Generates Atomic Structure.
 <pre>
@@ Line 290: / Line 290: @@
-==Example 11==
+==Example 11 : Sodium structure ==
-Sodium structure:
+Generates Sodium structure with Render Feature
 <pre>
@@ Line 323: / Line 323: @@
 [[File:Render_Sodium_Structure.png]]
-==Example 12==
+==Example 12: Grid of Circles==
-Grid of Circles
+Gives the Grid of Circles.
 <pre>
@@ Line 339: / Line 339: @@
 [[File:Render_Grid_of_Circles.png]]
-==Example 12==
+==Example 12: Phases of Moon==
-Phases of Moon (WIP)
+Generates the Phases of Moon (WIP)
 <pre>
@@ Line 356: / Line 356: @@
 [[File:Render_Phases_of_the_Moon(WIF).png]]
-==Example 12==
+==Example 12: Triangle Segment Lines==
-Triangle Segment Lines
+Generate Triangle Segment Lines.
@@ Line 399: / Line 399: @@
 [[File:Render_Triangle_Segment_Lines2.png]]
-==Example 13==
+==Example 13 : Gradient Colors==
-Gradient Colors
+Generates Gradient Colors.
@@ Line 440: / Line 440: @@
-==Example 14==
+==Example 14 : Rounded Quadrilaterals==
 Rounded Rectangle/Square
@@ Line 461: / Line 461: @@
-==Example 15==
+==Example 15: Polygon==
 Polygon

Difference between revisions of "RENDER Examples"