[Math] I think I found interesting webpage.

So I was searching web for some ideas and concepts, to resolve my next challenge.
And found following website, math oriented
https://www.geogebra.org/t/geometry

Just small screenshot of content




To be honest, I am quite amazed, what is there.
I really suggest, to spend there searching and playing with things, for at least 15 minutes.
You may find something interesting.

Personally I love this one
Spherical Coordinates Demonstration tool.
https://www.geogebra.org/m/aqB75qMa



Do you have some cool websites to share, which can be useful in game devs?

 

I tend to grab a lot of bits and pieces of information from all over the place, but one site I found very useful for procedural space skyboxes, and gpu-based procedural noise in general, is this one.

 

Just been looking through archives. I will bump this thread, as I think is very useful. Why not

 

http://www.iquilezles.org/www/index.htm
lists of useful functions

2017. intersection functions
2015. sphere functions
2015. box functions
2013. 2D SDF functions
2011. useful remapping functions
2008. 3D SDF functions


procedural content

2019. fBM
2017. filterable procedurals
2017. improved analytic checkers pattern filtering
2017. analytic checkers pattern filtering
2017. gradient noise derivatives
2008. raymarching SDFs
2008. value noise derivatives
2014. voronoise
2012. smooth voronoi
2012. voronoi edges
2002. domain warping
2002. icon images
1999. popcorn images


rendering techniques

2019. SDF Bounding Volumes
2018. ellipsoids
2016. basic VR
2015. texture repetition
2015. texturing and raymarching
2015. numerical normals for SDFs
2014. sphere soft shadow
2013. directional derivative
2013. filtering procedural textures
2013. smooth minimum
2006. volumetric sort
2005. modern raytracing
2002. terrain marching
2002. simple point clouds
2001. a basic raytracer
2000. simple voxel


lighting

2014. box occlusion
2013. outdoors lighting
2012. multires ambient occlusion
2012. simple pathtracing
2010. penumbra shadows
2010. better fog
2007. screen space ambient occlusion
2005. per vertex ao
2004. simple global ilumination
useful maths

2018. bezier bounding box
2017. inverse smoothstep
2016. disk/cylinder bounding box
2015. sphere density
2014. distance to triangle
2014. sphere projection
2011. distance estimation to implicits
2011. on the area of a triangle
2010. inverse bilinear interpolation
2010. trigonometric tricks
2009. distance to an ellipse
2008. normal/areas for polygons
2008. fourier series
2008. patched sphere
2008. sphere visibility
2008. on fm synthesis
2006. working with ellipses
2006. sphere ambient occlusion
2006. thinking with quaternions


fractals/complex dynamics

2007. continuous iteration count
2006. area of M1 in the Mandelbrot set
2006. M2 bulb in the Mandelbrot set
2006. the M1 bulb of the Mandelbrot set
2006. the symmetry of the Mandelbrot set
2002. introduction to the Mandelbrot set


fractals rendering algorithms

2011. iterative shapes
2009. mandelbulb fractal
2006. 3d orbit traps for fractals
2006. experimental 3d fractals
2004. distance rendering for fractals
2002. procedural traps for fractals
2002. bitmaps traps for fractals
2002. budhabrot fractals
2002. ifs fractals
2001. lyapunov fractals
2001. 3d julia set fractals
1999. geometric traps for fractals


compression

2010. genetic algorithm
2007. mesh compression
2007. wavelet compression
2005. introduction to 3d models storage


explorations

2020. fast trisect() in GLSL
2018. rational rendering and floating bar


coding tricks

2016. stereo rendering
2015. gamma correct blurring
2013. tunnel artifact
2013. improved hardware interpolation
2013. fixing frustum culling
2013. avoiding trigonometry
2010. zbuffer for raymarching
2010. minimal frustum culling
2009. improved bilinear filtering
2008. tile rendering
2005. float and random
2005. begining with sse coding
2004. clever normalization of a mesh
2003. how to render a cube in qbasic
2003. minimal spline code
2002. compiling small
1999. simple color palettes


simple effects

2013. voxel lines and occlusion
2005. 2d dynamic clouds
2005. simple gpu raytracing
2004. simple water
2002. cellular effect
2002. feedback effect
1999. plane deformations
1998. the game of life


coding hacks

2008. gm.dls textures
2008. how to store floats in 4kb
2008. opening a file in 4kb


presentations

2009. Behind Elevated
2008. Living Characters in 4 kilobytes
2008. Rendering Worlds With Two Triangles
2007. Massive Model Visualization
2007. Techniques for 64k demos
2006. Mathematics in Movement

 

Wow, these are great resources.

Thx for sharing in such nice organized format.

 

Thanks a bunch for taking the time to collect those links! Very useful!

 

Nice but that perlin noise looks like value noise - it gets annoying when people mix them up!

Great links

 

it was inigo quilez at https://www.iquilezles.org/www/index.htm who compiled this list -- i just wanted to make sure everyone knew

 

Yeah..the link was at the top of the list I posted.

 

for sure, u did properly credit inigo -- it's just that a few people seemed to think u compiled these, and i wanted to make it known that u just shared it here but it was inigo who compiled them

 

Great input guys, you probably already know it but:
http://www.realtimerendering.com/intersections.html
Saved my *** few times.

 

My apologies to the imperceptive. I posted an index to subjects to incite curiosities and sensibilities. I do not think the creator of this wonderful resource would mind me sharing his intellectual prowess in such a detailed fashion. As anyone perceptive can see from said indexing, he offers more than just a blog on using Rotate to turn a tower turret at a constant speed. Feel free to gold star your fridge for your intervention.

 

This is nice, but he called "value noise" as "perlin noise", minot nitpick though, both are useful, share same technique beyond teh noise generation, so that's still valuable info