[darkmighty]

7 dimensions is the trivial minimum for 7 mutual |_ (the axis)

Also, if you ease the restriction to each line perpendicular to every line it intercepts, you can get as many lines as you want in 3d already.

[thedufer]

> if you ease the restriction to each line perpendicular to every line it intercepts, you can get as many lines as you want in 3d already.

That works in 2d space, too. Parallel lines don't intercept any more than skew lines.