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johndcook.com

John D. Cook

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Latest posts

Last updated about 15 hours ago

Converting between quaternions and rotation matrices

about 15 hours ago

In the previous post I wrote about representing rotations with quaternions. This...

Composing rotations using quaternions

about 15 hours ago

Every rotation in 3D fixes an axis [1]. This is Euler’s rotation...

5,000th post

1 day ago

This is the 5,000th post on this blog. I started blogging in...

A simple way to generate random points on a sphere

1 day ago

I recently ran across a simple way to generate random points uniformly...

Recamán’s sequence

2 days ago

I recently ran into Recamán’s sequence. N. J. A. Sloane, the founder...

Cycle order in period doubling region

3 days ago

The last four post have looked at the bifurcation diagram for the...

An island of stability in a sea of chaos

3 days ago

The last several posts have been looking at the bifurcation diagram below...

Spacing between branches

3 days ago

The last couple posts have been looking at the logistic bifurcation diagram...

The first fork

4 days ago

The previous post looked at iterations of the logistic map f(x) =...

The simple part of the logistic map isn’t that simple

4 days ago

Five years ago I wrote a blog post entitled Logisitic bifurcation diagram...

n-queens in 3D

6 days ago

It’s possible to place n queens on an n × n chess...

Knuth’s series for chi squared percentage points

9 days ago

In the latest two posts, we have needed to find the percentage...