I would like to suggest that we get ready to explore any number of higher dimensional universes by establishing a simple naming convention, using Greek prefixes as the basis of the names of the dimensions and the left-right directions in each dimension.

For example, the Greek prefixes for four, five and six are tetra, penta and hexa. To keep it simple, we would name each dimension according to the Greek prefix. The first three dimensions are height, length, and width, with the directions up-down, forward-backward, and left-right. We say how high, long, and wide an object is.

The fourth, fifth and sixth dimensions would be tetrath, pentath and hexath. The "-th" ending makes it a noun. The directions are leetetra-rytetra, leepenta-rypenta, and leehexa-ryhexa. The prefixes "lee-" and "ry-" obviously correspond to "left" and "right." We say how tetra, penta and hexa and object is.

A six-dimensional box could be 1 foot high, 2 feet long, 3 feet wide, 4 feet tetra, 5 feet penta, and 6 feet hexa. What is its pentath? Five feet. Your 6D roadmap might tell you to "turn leetetra at Dixon and Billings, go two blocks, turn ryhexa at Fernwell." If that is a full 6D intersection and you're on Billings, you'd have a choice of going straight, turning left or right onto Casey, leetetra or rytetra onto Delaware, leepenta or rypenta onto Everbrook, or leehexa or ryhexa onto Fernwell. Your 6D road would be only a 5D surface, so you wouldn't turn "up" or "down."

The list of Greek prefixes is as follows:

1 - hen, 2 - di, 3 - tri, 4 - tetra, 5 - penta, 6 - hexa, 7 - hepta, 8 - octa, 9 - ennea, 10 - deca, 11 - hendeca, 12 - dodeca, 13 - triskaideca, 14 - tetrakaideca, 15 - pentakaideca, 16 - hexakaideca, 17 - heptakaideca, 18 - octakaideca, 19 - enneakaideca, 20 - icosa, 30 - triaconta, 40 - tetraconta, 50 - pentaconta, 60 - hexaconta, 70 - heptaconta, 80 - octaconta, 90 - enneaconta, 100 - hecatont, 200 - diacosioi, 300 - triacosioi, 400 - tetracosioi, 500 - pentacosioi, 600 - hexacosioi, 700 - heptacosioi, 800 - octacosioi, 900 - enneacosioi, 1,000 - chili, 10,000 - myria.

Who's for going to the heptacosioi tetrakaideca universe for coffee? Bring a 500 PW flashlight. It's real dark.