The Octonion RPN Calculator with custom triads

Software © (2009, 2023) John Wayland Bales under the GNU General Public License

You may use or modify this software for any non-commercial use so long as you include this copyright notice.

Also check out the Sedenion calculator.

ReadMe for more information.

CAUTION: You must RE-INITIALIZE the calculator after changing the default triads and settings in Row 1.*

Triads:
Octonion RPN Calculator
Register 2 Register 1 Top Register
e1
e2
e3
e4
e5
e6
e7

➤ ➤ ➤ ➤➤ ➤➤ ➤➤ ➤➤ ➤➤ ➤➤ - - - - - - -

Fano Plane Code compliments of Bruce Gray

*Elements of the triads must be numerals in the range of 1 to 7.

You may download an offline standalone version of this calculator here

A worked example of use

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

  1. Select random vectors X, Y and Z
    1. INPUT X STO
    2. INPUT Y STO
    3. INPUT 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 tiny round off errors of order 10-14).
    1. A RCL –

Please contact me if you locate a bug. Include instructions on how to reproduce the error.

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