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+--- Thread: Cubousity/Cubiness/Compactness Formula (/thread-2434.html)
Cubousity/Cubiness/Compactness Formula - PNWMan - 02-15-2014
A few days earlier I made a formula to determine the compactness of a rectangular prism. Now I felt that compactness had more to do than just volume because a 10x10x10 cube would be more compact than a 1x1x1000 rectangular prism, even though they have the same volume. So I based it off of how close to a cube the shape was, since a cube is the most compact rectangular prism you can have. It is: (3*cbrt(l*w*h))/(l+w+h). It's fairly simple to use. Here is how I created this formula:
I wanted to base it off of the side lengths. The l*w*h factor is the volume of the rectangular prism. Taking the cube root of that gives what the side lengths would be if it were a cube. the (l+w+h)/3 factor is the average of the side lengths. if you take the cbrt(l*w*h) and divide that by (l+w+h)/3, you get the same as cbrt(l*w*h)*((l+w+h)/3), or just (3*cbrt(l*w*h))/(l+w+h).
If the result is 1, the rectangular prism is a perfect cube. If it is less than one, than it is not a cube. The closer to 1 the number is, the more compact it is.
RE: Cubousity/Cubiness/Compactness Formula - Iceglade - 02-15-2014
To those reading, a tl;dr, it compares surface area to the minimum surface area to that volume, which you learned in 8th grade math was a cube.
Also, have some tex!
RE: Cubousity/Cubiness/Compactness Formula - LordDecapo - 02-27-2014
Nice ice!!! Imma use this to calculate the compactness of my new CPU when I finish
RE: Cubousity/Cubiness/Compactness Formula - CX gamer - 04-05-2014
(02-15-2014, 10:50 AM)Iceglade Wrote: it compares surface area to the minimum surface area to that volume, which you learned in 8th grade math was a cube.A sphere! :o
Sweet tex!
RE: Cubousity/Cubiness/Compactness Formula - Iceglade - 04-05-2014
(04-05-2014, 06:14 PM)CX gamer Wrote:(02-15-2014, 10:50 AM)Iceglade Wrote: it compares surface area to the minimum surface area to that volume, which you learned in 8th grade math was a cube.A sphere! :o
Sweet tex!
Spheres in minecraft for days :p
(02-27-2014, 02:36 PM)LordDecapo Wrote: Nice ice!!! Imma use this to calculate the compactness of my new CPU when I finish
Also, this is PNW's, not mine
RE: Cubousity/Cubiness/Compactness Formula - gelloe - 04-05-2014
(02-15-2014, 10:50 AM)Iceglade Wrote: To those reading, a tl;dr, it compares surface area to the minimum surface area to that volume, which you learned in 8th grade math was a cube.
Also, have some tex!
But... I'm not in 8th grade yet ;-;
EDIT: I also have no idea what that images means
EDIT 2: NO WAIT! DON'T TELL ME!
EDIT 3: Something with length width and height, and the threes are for volume or something like that.
RE: Cubousity/Cubiness/Compactness Formula - VirtualPineapple - 04-06-2014
geometric mean divided by average eh?