Creature ST from size in hexes

[phiwum]

Originally Posted by hcobb

Fact checking that:

Elephant is up to ten hexes at up to 15,000 pounds while the above says 10,000 pounds.

Curve fitting in excel gives that the best fit is 300 pounds times the size in hexes raised to the 1.7th power.

14 hex dragon is then 13 short tons which is within the high end range estimates for T-Rex.

Hexes	Actual #	Calc #	Calc ST
1	300	        300	14
2	1000	        975	25
3	2000	       1942	36
4		       3167	46
7		       8200	74
10	15000         15036	100
14	30800         26640	133

The best fit may be found by using the exponent 1.7, but surely the most natural would be raising it to 1.5? I'm not good with these sorts of physical estimates, but area is square and mass should be very, very roughly linear in terms of volume, which is cubic.

Anyway, the predicted ST numbers are uniformly higher for dragons. At size 14, the prediction is fully a third higher than RAW. (It's a little worse than that at 2 hexes.)

If you use 1.5 instead of 1.7, you get the following results.

Hexes	Actual	Wt Calc	Pred ST	RAW ST	Error
1	300	300	14	12	0.15
2	1000	849	24	16	0.33
3	2000	1559	32		
4	?	2400	40	30	0.25
7	?	5556	61	60	0.01
10	?	9487	80		
14	?	15715	102	100	0.02

These are closer the the dragon ST in RAW, at least at the higher end. The two hex is still puny in RAW. The estimate is 1/3 higher at two hexes and a quarter higher at four hexes, but above that it's spot on.

(I wasn't trying to prove anything about what the "right" relation should be, since I'm not committed to there being a right relation, but if you need one, this seems better. The weights are lower, but I don't reckon weight really matters.)

I've no idea whether a T-Rex is a 14 hex critter or not. A lot of the length is in a narrow tail. Hard for me to estimate that.