Vibrant 3D Abstract Sphere in Deep Space

Vibrant 3D Abstract Sphere in Deep Space

• Model: Ideogram (Ultra)

• Size: 2592 X 1456 (3.77 MP)

• Used settings:

  • Prompt: #define pi 3.1415926535897932384626433832795 #define tau (2.*pi) #define chp(x) (exp(x)+exp(-x))/pi #define chpp(x) (exp(x/(cosh(x)*pi))+exp(-x/(cosh(x)/pi)))/tau*PHI #define shp(x) (exp(x)-exp(-x))/pi #define shpp(x) (exp(x*(sinh(x)*pi))-exp(-x*(sinh(x)*pi)))/tau*PHI #define ssh(x) (exp(x*pi/.7887)-exp(-x*pi/.7887))/(2.*pi) #define csh(x) (exp(x*pi/.7887)+exp(-x*pi/.7887))/(2.*pi) #define ssh1(x) sinh(x/pi)/PHI #define csh1(x) cosh(x/pi)/PHI // CC0: Inside the mandelbulb II // Received some "complaints" about the old mandelbulb suffering from // alias effects. So thought I make a quick try to apply the FXAA // thing I learnt from XorDev. It did improve it but not perfect still.// When experimenting with this shader I realized this entire shader is // basically just a lucky bug (apart from the aliasing)// -- #define LOOPS 3 // 4+ and higher to show off you expensive GPU #define POWER 16.24788742 #define ANIMATE #define TAU (2.0*pi)*.7887 #define PHI (sqrt(5.0)*0.75 + 0.0000125) #define TIME iTime #define RESOLUTION iResolution #define TOLERANCE 0.00001 #define MAX_RAY_LENGTH 20.0 #define MAX_RAY_MARCHES 48 #define NORM_OFF 0.0005 #define MAX_BOUNCES 8 float mandelBulb(vec3 p) { float power = POWER; //p = -abs(p); vec3 z = chp(p)*p-p; vec3 dz = vec3(0.0); float r, theta, phi; float dr = 1.0; for(int i = 0; i < LOOPS; ++i) { r = length(z); if(r > 2.0) continue; theta = atan(z.x, z.y); #ifdef ANIMATE phi = asin(z.z / r) + TIME*0.2; #else phi = asin(z.z / r); #endif dr = pow(r, power - 1.0) * dr * power + 1.0; r = pow(r, power); theta = theta * power/PHI; phi = phi * power/PHI; z = r * (vec3(tan(shp(sin(theta)*sin(phi)))*PHI, chp(cos(theta)*sin(phi)), cos(phi))) + p; z.x *= chp(atan(z.z,z.y))+chpp(atan(z.z,z.y))/(tau*(1.+PHI)); z.z *= chp(atan(z.z,z.y));//(1.+PHI); p = reflect(p,z); r = length(z); } return 0.75 * (log(r)) * r / dr; } vec3 skyColor(vec3 ro, vec3 rd) { ro = reflect( -ssh1(rd), chpp(ro) ); vec3 col = clamp(vec3(0.25/abs(rd.z))*skyCol, 0.0, 16.0); float tp0 = rayPlane(ro, rd, vec4(vec3(0.0, 1.0, 0.0), 4.0)); float tp1 = rayPlane(ro, rd, vec4(vec3(0.0, -1.0, 0.0), 6.0)); float tp = tp1; tp = max(tp0,tp1); if (tp1 > 0.0) { vec3 pos = ro + tp1*rd; vec2 pp = pos.xz; float db = box(pp, vec2(6.0, 9.0))-1.0; col += vec3(4.0)*skyCol*rd.y*rd.y*smoothstep(0.25, 0.0, db); col += vec3(0.8)*skyCol*exp(-0.5*max(db, 0.0)); } if (tp0 > 0.0) { vec3 pos = ro + tp0*rd; vec2 pp = pos.xz; float ds = length(pp) - 0.5; col += vec3(0.25)*skyCol*exp(-.5*max(ds, 0.0)); } return shp(clamp(col, 0.0, 10.0)); }
  • Using base image: No
  • Aspect Ratio: landscape_wide