The Octonion RPN Calculator

Software © (2009) John Wayland Bales under the GNU General Public License


P3:(a,b)(c,d)=(ac-db*,a*d+cb)
i0
i1
i2
i3
i4
i5
i6
i7
♥♥♥

To illustrate one of the Moufang identities, for example Z(X(ZY)) = ((ZX)Z)Y, perform the following operations:

  1. Select random vectors X, Y and Z
    1. RANDOM X STO
    2. RANDOM Y STO
    3. RANDOM Z STO
  2. Perform the operations on the left side of the identity
    1. Z RCL ENTER (Since Z should already be in the register, you don't actually have to recall it.)
    2. Y RCL × ENTER
    3. X RCL SWAP × ENTER
    4. Z RCL SWAP ×
  3. Store the result
    1. A STO
  4. Perform the operations on the right side of the identity
    1. Z RCL ENTER
    2. X RCL × ENTER
    3. Z RCL × ENTER
    4. Y RCL × ENTER
  5. Subtract the result obtained on the left side of the identity. Result should be 0 (allowing for small errors).
    1. A RCL –

The Octonion multiplication table used for this calculator is explained here.

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