The Octonion RPN Calculator

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