Uploaded April 2026 | Updated September 2026, 2 weeks ago
In this video, I demonstrate using the 4x4 matrix implementation of quaternions, that there is no such thing as a pure quaternion as specified. I say "as specified" because the definition of pure quaternions implies that there can exist a quaterion without a real component and that is the part that I don't agree with. You can also see this as yet another lession on quaternions where the discussion of the "pure quaternion" is merely an excuse to talk about the 4x4 matrix version of quaternions, which is one of my favourite subjects.
Here is a link to the code I show in this video which uses the P5JS editor:
editor.p5js.org/lgardi22/sketches/LKjNrX3ai
Here is a link to the matrix multiplication app if you want to check my work:
matrix.reshish.com/matrix-multiplication
In this video, I demonstrate using the 4x4 matrix implementation of quaternions, that there is no such thing as a pure quaternion as specified. I say "as specified" because the definition of pure quaternions implies that there can exist a quaterion without a real component and that is the part that I don't agree with. You can also see this as yet another lession on quaternions where the discussion of the "pure quaternion" is merely an excuse to talk about the 4x4 matrix version of quaternions, which is one of my favourite subjects.
Here is a link to the code I show in this video which uses the P5JS editor:
editor.p5js.org/lgardi22/sketches/LKjNrX3ai
Here is a link to the matrix multiplication app if you want to check my work:
matrix.reshish.com/matrix-multiplication
