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inigo quilez

@iquilezles • 51,563 subscribers

Created Quill, Shadertoy, Pixar's Wondermoss. Math & Art Videos at * https://t.co/ugnT5WuRWq * https://t.co/w20vMC2I7d * https://t.co/SRkBTFQQLP

Shorts

Here's some cute bounding box functions for 2D shapes. A link to a longer list in the next post.

Here's some cute bounding box functions for 2D shapes. A link to a longer list in the next post.

173,914 views

Deforming a sphere with sine waves.

Deforming a sphere with sine waves.

85,922 views

// Any three (non colinear) points define a circle // { .xy=center, .z=radius } vec3 getCircle( vec2 a, vec2 b, vec2 c ) { vec2 ba = b-a, cb = c-b, ac = a-c; float de = ba.x*cb.y-ba.y*cb.x; // zero if colinear vec2 ce = 0.5*(a+b+vec2(ba.y,-ba.x)*dot(ac,cb)/de); return vec3( ce, length(a-ce) ); }

// Any three (non colinear) points define a circle // { .xy=center, .z=radius } vec3 getCircle( vec2 a, vec2 b, vec2 c ) { vec2 ba = b-a, cb = c-b, ac = a-c; float de = ba.xcb.y-ba.ycb.x; // zero if colinear vec2 ce = 0.5(a+b+vec2(ba.y,-ba.x)dot(ac,cb)/de); return vec3( ce, length(a-ce) ); }

72,883 views

Everybody is excited about fitting things to things, so here are 500 gaussians splatted at will (4000 bytes uncompressed). It's a remake of the experiment I wrote about in 2010, but with anisotropy in the gaussians, which makes it much better.

Everybody is excited about fitting things to things, so here are 500 gaussians splatted at will (4000 bytes uncompressed). It's a remake of the experiment I wrote about in 2010, but with anisotropy in the gaussians, which makes it much better.

57,297 views

void mainImage(out vec4 c,vec2 p){for(c=vec4(p/iResolution.y,1,0)-.6;p.x-->0.;c*=.9+.1*length(cos(c.xyz+.7*c.x+vec3(0,0,iTime)))+.01*cos(4.*c.y));c=(c+c.z)*.1;} For Shadertoy golfers, this uses no temporary variables!

void mainImage(out vec4 c,vec2 p){for(c=vec4(p/iResolution.y,1,0)-.6;p.x-->0.;c=.9+.1length(cos(c.xyz+.7c.x+vec3(0,0,iTime)))+.01cos(4.c.y));c=(c+c.z).1;} For Shadertoy golfers, this uses no temporary variables!

56,599 views

The XOR of two SDFs, is also an SDFs; always:

The XOR of two SDFs, is also an SDFs; always:

42,825 views

Shadertoy doodle - an exercise on raytracing 32,000 spheres without using a stack data structure.

Shadertoy doodle - an exercise on raytracing 32,000 spheres without using a stack data structure.

27,266 views

Videos

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After 15+ years of exploring "Easy 3D" through SDFs, we've now put #ProjectNeo together, which you can try today in beta here:

After 15+ years of exploring "Easy 3D" through SDFs, we've now put #ProjectNeo together, which you can try today in beta here:

201,748 views • 2 years ago

Design once, restyle endlessly. It's one of the many things we are playing with at

Design once, restyle endlessly. It's one of the many things we are playing with at

88,523 views • 1 year ago

Deforming a sphere with sine waves.

Deforming a sphere with sine waves.

85,922 views • 1 year ago

Drawing a character with mathematical equations

Drawing a character with mathematical equations

71,448 views • 1 year ago

We improvised a marble elevator with some lego technique and regular legos, for a duplos marble run we had around.

We improvised a marble elevator with some lego technique and regular legos, for a duplos marble run we had around.

29,290 views • 11 months ago

I designed some cute quartic surfaces #Math #Mathematics

I designed some cute quartic surfaces #Math #Mathematics

23,212 views • 1 year ago

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