There exist only eight possible Cayley-Dickson doubling product P0 through P3 and their respective 'transposes' PT0 through PT3 for multiplying two ordered pairs (a,b) and (c,d).
One's choice of the eight doubling products may be selected from the drop-down product list at the top of the first column. The products P3 and PT3 are the ones most commonly used by researchers.
This calculator may be used to investigate Sedenion identities involving one or more of the doubling products.
John Wayland Bales, Department of Mathematics (Retired), Tuskegee University, Tuskegee, AL 36088 USA