Bosons and Fermions are parts of Quaternion Electronic Particles. The Boson is the Quaternion Scalar part and the Fermion is the Quaternion Vector part. Quaternions are four dimensional "particles" a Boson and a three dimensional Fermion

The Quaternion Unit can be described by Q= Cos(Spin) + v Sin(Spin) where v is the unit vector. The Quaternion consists of a scalar part the Boson = Cos(Spin) and a vector part the Fermion = v Sin(Spin).

When the angle Spin = n pi/2 i

f n is a multiple of 1 then the Quaternion Unit is a positive Fermion;

If n is a multiple of 2 then the Quaternion is a negative Boson;

if n is a multiple of 3 then the Quaternion is a negative Fermion

if n is a multiple of 4, then the Quaternion is a Positive Boson.

In general Bosons are even spin angles of pi/2 and Fermions are odd spin angles of pi/2.

If the spin angel is not a multiple of pi/2 then the Quaternion is the sum of a Boson and a Fermion.

This looks like Complex Numbers. because it is. Complex Numbers are a Quaternion 2 dimensional subgroup with Boson and a single vector Fermions.