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Title	Colored Quaternion Fractal
ID	5179043068641280
Created	10 years ago, 1434033626964
Updated	10 years ago, 1434206133537
Code	/ CLICK TO PAUSE / /* CURRENT PROGRESS: Added Colors Added Lights Added Spiral render pattern / /* INFO: * * Lives in: Country: US, State: MA * Grade: 9th (homeschooled) * * What do I love about programming? * * - I like to not let computers control me, but to control computers myself - * / / * This program generates what is called a quaternion julia set. * I realize that it takes ages to load (almost a full minute), but is actually the fastest * quaternion fractal renderer on KA! (well, second to a different one that I also made) * * Anyway, a quaternion julia is a 4D Fractal. * It can be displayed as a 3D cross-section, as it is here. * Here it is colored based on the number of iterations before \|z\| exceeds the escape radius * the image is partially anti aliased by this procedure. * */ //JULIA CONSTANTS: var CR = -0.55; var CI = -0.3; var CJ = -0.35; var CK = 0.5; //Position in fourth dimension var P4D = 0; var DZC = 8; var MCC = 384; var PPF = 64; background(0); (function(){ var px=0,py=0,pdx=0,pdy=-1; var drawNum=0; var paused = false; draw = function() { if (paused){return;} if (drawNum > 1){return;} if (!this.loadPixels){return;} var sqr = Math.sqrt; var p,l,w,h,w2,h2,rw2,rh2,x,y,n=PPF;//pixels var cx,cy,cz,cc,mcc=MCC,rmcc=1/mcc,dz;//caster var zr,zrt2,zi,zj,zk,cr=CR,ci=CI,cj=CJ,ck=CK,p4d=P4D,ji,mji=14;//quat var zr2,zijk2; //partial anti-alias sample positional derivation from final caster iteration (colors) var sm = 0.02; var tv = [[sm,sm,sm], [sm,-sm,-sm], [-sm,sm,-sm], [-sm,-sm,sm]],cv; var hc,thc=tv.length-1,hx,hy,hz,hm; //Surrounding Light var lv; var rmji=1/mji; dz = DZCrmjirmcc; w=width; h=height; w2=w>>1; h2=h>>1; rw2=2/w; rh2=2/h; //Spiral var spt,sx=px,sy=py,dx=pdx,dy=pdy; this.loadPixels(); p=this.imageData.data; do { x=sx+w2; y=sy+h2; lv=0; cx=xrw2-1; cy=yrh2-1; cz=-1.5; cc=mcc; do { zr=cx; zi=cy; zj=cz; zk=p4d; zr2=zrzr; zijk2=zizi+zjzj+zkzk; ji=mji; do { zrt2=zr+zr; zr=zr2-zijk2+cr; zi=zrt2zi+ci; zj=zrt2zj+cj; zk=zrt2zk+ck; zr2=zrzr; zijk2=zizi+zjzj+zkzk; } while ((--ji>0)&&(zr2+zijk2<4.0)); cz+=dzji; lv += ji; } while ((--cc>0)&&(ji>0)); l=x+yw<<2; p[l] = p[l+1] = p[l+2] = 0; if (cc>0){ hx=0; hy=0; hz=0; hc=thc; do { cv = tv[hc]; zr=cx+cv[0]; zi=cy+cv[1]; zj=cz+cv[2]; zk=p4d; zr2=zrzr; zijk2=zizi+zjzj+zkzk; ji=mji; do { zrt2=zr+zr; zr=zr2-zijk2+cr; zi=zrt2zi+ci; zj=zrt2zj+cj; zk=zrt2zk+ck; zr2=zrzr; zijk2=zizi+zjzj+zkzk; } while ((--ji>0)&&(zr2+zijk2<4.0)); hx += cv[0]ji; hy += cv[1]ji; hz += cv[2]ji; } while(--hc >= 0); hx=rmji; hy=rmji; hz=rmji; hm = 160.0/sqr(hxhx+hyhy+hzhz); hx=hxhm+96; hy=hyhm+96; hz=hzhm+96; cz/=3; cz=0.75-czcz-cz; p[l] = hxcz; p[l+1] = hycz; p[l+2] = hzcz; } lv = (mcc-cc) mji - lv; lv=rmjirmcc*256; p[l] += lv; p[l+1] += lv; p[l+2] += lv; if (sx === sy \|\| (sx < 0 && sx === -sy) \|\| (sx > 0 && sx === 1-sy)){ spt=dx; dx=-dy; dy=spt; } sx+=dx; sy+=dy; } while (--n); px=sx; py=sy; pdx=dx; pdy=dy; if (x>w){ drawNum++; DZC = 6; MCC = 1024; PPF = 16; px=0; py=0; pdx=0; pdy=-1; } this.updatePixels(); }; mousePressed = function(){ paused = !paused; }; })();
Folds
Fork	false
Key	ag5zfmtoYW4tYWNhZGVteXIXCxIKU2NyYXRjaHBhZBiAgIjz_smZCQw
Votes	390
Spin-Offs	13
Type	PJS
Width	400
Height	400
User Flagged	false
Origin Scratchpad	{"id":"6223097608929280","title":"Contest: Generative Art","deleted":"false","official":"false"}
Hidden From Hotlist	false
Restricted Posting	false
By Child	false
Author Nick	◄▓▒░Swax97░▒▓►
Author Name	swax97
Author ID	kaid_923591327600038001835478
Author Profile Access	COACH

Archive Data

Added	6 months ago, 1739376308082
Updated	4 months ago, 1744828502396
Source Deleted	unknown