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cos(x/15+tfrac*2*pi)

Moving cosine

A simple one-liner to illustrate the concept

((y+40+100*fabs(cos(tfrac*pi)))*(y+40+100*fabs(cos(tfrac*pi)))+x*x<40*40)*(5*((x+40)*blue)) + (y > 80)*(y*green)

Bouncing planet

((x ^ y) >> (x & ~y & int(127*tfrac)))*green + ((x ^ y) >> (~x & y & int(31*tfrac)))*red + ((x ^ y) >> (x & y & int(63*tfrac)))*blue

Madly animated carpet

sin(x/40.0+tfrac*4*pi)*green + cos(x/40.0-tfrac*6*pi)*red + sin(-x/40.0+tfrac*2*pi)*blue

Dancing colours

cos(sqrt(sqrt(x*x*x*x+y*y*y*y))/10.0)*red + cos(sqrt(sqrt(x*x*x*x+y*y*y*y))/5.0+tfrac*2*pi)*green + cos(sqrt(sqrt(x*x*x*x+y*y*y*y))/3.0)*blue

Animated logo

(y>-70&&y<-40&&x-100*(2*tfrac-1)>-33&&x-100*(2*tfrac-1)<33) ? red+green+blue*0.5 : (y>40&&y<70&&x-100*(2*tfrac-1)>-33&&x-100*(2*tfrac-1)<33) ? blue*0.6 : (x & 16) ? white : black

Stepping feet illusion

rand()%100000+ tfrac*(x*x+y*y < tfrac*tfrac*200*200)*(blue*x+red*y)

Static stopper

(abs((x+64)*cos(tfrac*pi)-(y-48)*sin(tfrac*pi))<20/2 && abs((x+64)*sin(tfrac*pi)+(y-48)*cos(tfrac*pi))<80/2)*green + (abs(x*cos(2*tfrac*pi)-(y+64)*sin(2*tfrac*pi))<20/2 && abs(x*sin(2*tfrac*pi)+(y+64)*cos(2*tfrac*pi))<80/2)*red + (abs((x-64)*cos(-tfrac*pi)-(y-48)*sin(-tfrac*pi))<20/2 && abs((x-64)*sin(-tfrac*pi)+(y-48)*cos(-tfrac*pi))<80/2)*blue

Spinners

((x-80*sin(y/(4+2*cos(tfrac*2*pi))))*(x-80*sin((y-1)/(4+2*cos(tfrac*2*pi))))<0 && blue || white)

Spring

(x*x+y*y > 100*100)*white + (x*x+y*y <= 100*100)*((tfrac*2*pi > pi)*((x >= 0)||(x < 0 && -y < x/tan(tfrac*2*pi))) ? green*(1-tfrac) : black + (tfrac*2*pi <= pi)*((x >= 0 && -y > x/tan(tfrac*2*pi)) ? green*(1-tfrac) : black))

Sweep

(tfrac <= 0.167) ? (abs(x)+abs(y/(2*tfrac)) < 110 ? (x*x+y*y<40*40 ? (x*x+y*y<20*20 ? black : (red+green/2+rand()%2000)*0.3) : white) : (blue+green)*0.5) : (tfrac <= 0.833) ? (abs(x)+abs(y*3) < 110 ? (x*x+y*y<40*40? (x*x+y*y<20*20 ? black : (red+green/2+rand()%2000)*0.3) : white) : (blue+green)*0.5) : (tfrac <= 1) ? (abs(x)+abs(y/(2.001-2*tfrac)) < 110 ? (x*x+y*y<40*40? (x*x+y*y<20*20 ? black : (red+green/2+rand()%2000)*0.3) : white) : (blue+green)*0.5)

Alien Blink

blue*(pow((((int)(81.0 * atan2(x*cos(tfrac*2*pi)-y*sin(tfrac*2*pi), x*sin(tfrac*2*pi)+y*cos(tfrac*2*pi)))) & 31) - 15, 2) + pow((((int)(2.0 * sqrt(x*x + y*y))) & 31) - 15, 2))

Which way is it turning? (Original still due to GDR!)

cos(x*x+y*y+2*pi*tfrac)

Bubbles (Original still due to Stefano Bodrato)

(tfrac <= 0.25) ? (abs(y)+abs(x/(4*tfrac)) < 80 ? green : blue*(y+129)/256) : (tfrac <= 0.5) ? (abs(y)+abs(x/(4*tfrac-2.001)) < 80 ? green : blue*(y+129)/256) : (tfrac <= 0.75) ? (abs(y)+abs(x/(4*tfrac-1.999)) < 80 ? red : blue*(y+129)/256) : (tfrac <= 1) ? (abs(y)+abs(x/(4.001-4*tfrac)) < 80 ? red : blue*(y+129)/256)

Flipping card

(abs(x) < 25-(y+105)/10 && y >= -105 && y < -65) ? ( (1+cos(sqrt(x*x+(y+85)*(y+85))/9))*(white*3*(tfrac*tfrac*tfrac*tfrac*tfrac*tfrac + (1-tfrac)*(1-tfrac)*(1-tfrac)*(1-tfrac)*(1-tfrac)*(1-tfrac)) + red*0.5+green*0.3)) : (y >= -90 && y < 90 && abs(x) < 50)*(white*(1+cos(x/(13+((y+90)/90))))) + (y >= 90 && y < 127)*green*0.5 + (y < -95)*(abs(x) < 2*(y+128))*(white*(1+cos(x/15))) + (y == 127)*white*6

Lighthouse

(x*x+y*y < 100*100)&&(((sin((x*100/sqrt(100*100-y*y)+tfrac*2*pi*18)/4.5)+1)+1)*red+((sin((x*100/sqrt(100*100-y*y)+tfrac*2*pi*18)/9.0)+1)+1)*green+((sin((x*100/sqrt(100*100-y*y)+tfrac*2*pi*18)/18.0)+1)+1)*blue)

Rotating ball

(x+128)*green + (-y+128)*red + (0.5+fabs(tfrac-0.5))*256*blue

Almost every colour (within the (r,g,b) palette)