The Sedenion Scientific RPN Calculator

Software © (2015) John Wayland Bales under the GNU General Public License


Those who are unfamiliar with postfix (reverse Polish) calculation may consult the Wikipedia article.


Please read the notice about the numbering of basis vectors below.


( a, b )( c, d ) = ( ac - db*, a*d + cb )
e0
e1
e2
e3
e4
e5
e6
e7
e8
e9
e10
e11
e12
e13
e14
e15
Postfix Calculator


Important notice about the numbering of unit basis vectors

The basis vectors satisfy \(e_{2p}=(e_p,0)\) and \(e_{2p+1}=(0,e_p)\).

This differs from traditional numbering.

To translate between numbering systems, write the basis vector subscripts in reverse-binary order.

For sedenions \(e_3=e_{0011}\to e_{1100}=e_{12}\) in traditional numbering.

For octonions (using only \(e_0\) to \(e_7\)), \(e_3=e_{011}\to e_{110}=e_{6}\) in traditional numbering.

For quaternions \(e_3=e_{11}\to e_{11}=e_3\) but \(e_1=e_{01}\to e_{10}=e_2\).

John Wayland Bales, Department of Mathematics (Retired), Tuskegee University, Tuskegee, AL 36088 USA

Contact me by email for questions about the calculator.