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How much does your giant weigh?
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(defun height-mass (start-height start-mass end-height build-ratio) | |
"How much does your giant weigh? | |
Calculate from START-HEIGHT, START-MASS, and END-HEIGHT multiplied by | |
BUILD-RATIO the END-MASS. BUILD-RATIO is a factor to express the difference | |
in build between different creatures. (The factor for a dwarf might be 2.25, | |
225% heavier than normal.) | |
Formula: end-mass = start-mass * (end-height / start-height)^3 | |
See: | |
https://en.wikipedia.org/wiki/Square%E2%80%93cube_law | |
https://www.enworld.org/threads/how-much-does-my-giant-weight.106631/post-1846443" | |
(interactive "nStarting Height? \nnStarting Mass? \nnEnd Height? \nnBuild Ratio? ") | |
(let* ((start-height (* 1.0 start-height)) ; make measurements floats. | |
(start-mass (* 1.0 start-mass)) | |
(end-height (* 1.0 end-height)) | |
(ratio (expt (/ end-height start-height) 3)) | |
(end-mass (* start-mass ratio))) | |
(message "Start Height: %g; Start Mass: %g; End Height: %g; Build Ratio: %g | |
Ratio: %g; End Mass: %g; * Build Ratio: %g" | |
start-height start-mass end-height build-ratio | |
ratio end-mass (* build-ratio end-mass)))) |
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