Pigeonhole principle bias

a note on bias introduced by the pigeonhold principle

Uniform points on disc, circle, sphere and caps

a brief note on some basic uniform spatial distributions

Minimum magnitude angle rotation between two normals

Given two normals find the rotation from one to the other

Orthonormal basis from normal via quaternion similarity

two methods of computing an orthonormal basis from a unit (bi)vector.

Implied normals (unit bivectors as rotations)

a method of transforming a (bi)vector into a rotation for an implied representation.

Quaternion half/double angle and Cayley transforms

a note on two transform pairs which reduce the working domain in quaternion space

Quaternion rotation visualization

using visualizating as an exercise to note some quaternion properties

Quaternion are really Complex

some quaternion wankery support material for other posts

prns.h

a library for constant time random-access to a pseudo-random number sequence

Sobol.h

a library for sampling Sobol sequences

minimal quality 2D hashing with Weyl

a somewhat cheap low quality hashing function family

Weyl sequence overview

a brief overview of Weyl sequences.