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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.

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Deforming a sphere with sine waves.

Deforming a sphere with sine waves.

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// 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) ); }

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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.

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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!

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

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

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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.

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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 просмотров • 2 лет назад

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 просмотров • 1 год назад

Deforming a sphere with sine waves.

Deforming a sphere with sine waves.

85,922 просмотров • 1 год назад

Drawing a character with mathematical equations

Drawing a character with mathematical equations

70,536 просмотров • 1 год назад

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 просмотров • 11 месяцев назад

I designed some cute quartic surfaces #Math #Mathematics

I designed some cute quartic surfaces #Math #Mathematics

23,212 просмотров • 1 год назад

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