I have no idea what you're talking about, nor what it has to do with putting a 3I sized polity in 3D space instead of a pencil-and-paper friendly planar game map. S/H/L/B/V?
J/H/S/L/B/V
As noted by others Jump/Hop/Skip/Leap/Bound/Vault. N= 1/10¹/10²/10³/10⁴/10⁵ Parsecs per _... A vault 1 (V-1) can get you from Earth to the Large Magellenic cloud. At least, as long as you don't run into the exclusion zones of anything between.
There are two factors here... 1st I had reason to ask about the nature of FTL because I was running the numbers on how far one could get with the new drives in T5.01.
They all mass the same, all require the same amount of fuel under T5 Release... and the error is still ±1000 km per parsec for all... but...to go less than full _-1, you have to actually hit the 100D limit.
The biggest change T5 makes to the OTU: if anything bigger crosses your jump line (which is a straight line) ANYWHERE, you'll drop out at end time 100 diam this side of that item. You don't have to aim for where it should be, you just aim so that during the window your exit will intercept the target some point during the time in jump. Same for Hop/Skip/Leap/Bound/Vault.
You're not going to get more than about 100 Pc on any in-galaxy travel if oort clouds exist around most or all systems - some small chunk a couple km long will drop you out.
So the higher order drives past skip don't matter... in galaxy. It may take a few tries to skip to the edge...
Item 2: I needed to know if J-Space was 2D or 3D because it affects the ability to go distances.
If J-Space is a plane, even if it's a wrinkly plane, only things intersecting it affect it; above or below don't.
If it's 3D, then it's roughly twice as likely for something to block you, and a lot of big stars can be
real problems for the higher order drives under that draft.
The thing is, while I was doing the calculations, Marc noted that the Jump/etc drives operated on a single non-conformal plane - the starmaps are J/H/S/L/B/V plane positions, not a 2d of 3d space for playability.
Which also means a bunch of stars probably aren't connected, and Jump space may be a result of TL 24 engineering by Yaskodray... or perhaps some other sport, or even a different species.
Also note: Cryton's degree is in Math and Astronomy. He did the math and we jointly did the methodology.
(one theory about the Empress Wave is that it was someone else propagating a new set of FTL travel planes to reach with those higher order drives... Marc refused to comment when I asked.)
So, it may not matter that the 3I could fit in a sphere, because things not in the wrinkly sheet's path are out of reach....
YTU can vary; I really, literally, only care about the nature of the OTU. Marc may or may not change his mind about 2D vs 3D J/.../V Space(s).
Last I heard, it was one of those topics he planned for a blurb in M1900 materials. But I've not asked in about 5 years.