Routon

For completeness’ sake, we name the 2⁷-ions too, dubbing them Routons, after that legendary source of high-tech innovativeness, Route 128 of the “Massachusetts Miracle” that paralleled Silicon Valley’s on the “Left Coast” of this country.

According to the logic of doubling the dimensions on which Cayley–Dickson algebra is built, after quaternions the so-called 8D octonions (#92;mathbbO—Octonions) can be obtained, followed by 16D sedenions, 32D pathions, 64D chingons, 128D routons, and 256D voudons.

There is no theoretical limit to multispace dimensional numbering as there are definitions for octonion (8D), sedenion (16D), pathion (32D), chingon (64D), routon (128D), and voudon (256D) numbered space.