There are many measurement systems, and the ones by Système international and the imperial system are arguably two of the most famous. There are also the furlong-firkin-fortnight (FFF) system and the CCC system by Jan Misali, both of which are sarcastic systems made as a joke. I have here a system that falls into the latter category that aims to be as difficult to use as possible. Here are the base units:
Let’s try to derive the units for some common dimensions.
Length
We know volume is represented by gal, so 3gal≈0.1558491279m is our unit of length.
Time
We can’t use Ba nor ϵ0, since those have kg and C, respectively, that needs to be removed by multiplying its own reciprocal, which cancels itself out. That leaves us with gal and g to be manipulated. Time can be represented by seconds, so we have
s=s2=ms2⋅m=ms23m3=ms26m3
We can replace ms2 with g−1 and m3 with gal to get
g−16gal≈0.1260642227s.
Velocity
Velocity is acceleration times time, so
g⋅g−16gal=g6gal≈1.2362677099sm
Mass
kg=m⋅s2kgm⋅s2=m⋅s2kgm2⋅ms2
We can replace m⋅s2kg and m2 with Ba and 3gal2, respectively, to get
Resistance has the same units as vacuum permittivity divided by velocity, so
g6galϵ0≈7.1620311209×10−12Ω
Temperature
K=m2s2⋅K⋅s2m2
We can replace in c and velocity accordingly:
c−1g6gal≈2.95786130251×10−4K
What about luminous intensity and substance amount?
I don’t know how luminous intensity works so I can’t list an overcomplicated version of it. But feel free to use candela.
For substance amount, I don’t know any established units that are in the range of Avogadro’s Number that are ridicuous, so I’ll just say the Baker’s Dozen (13) works.
Technically, these don’t have a defined exact value, but I couldn’t think of any other unit or constant that was as complex.↩