Reflection

A reflection is an improper isometry of Euclidean space.

When used as an operator in the sandwich antiproduct, a unitized plane $$\mathbf F = F_{gx}\mathbf e_{423} + F_{gy}\mathbf e_{431} + F_{gz}\mathbf e_{412} + F_{gw}\mathbf e_{321}$$ is a specific kind of flector that performs a reflection through $$\mathbf F$$.

Calculation
The exact reflection calculations for points, lines, and planes are shown in the following table.