Busty Math Revisited
Aug. 2nd, 2005 01:07 pmIn the drawing of a rather massively endowed version of my character, I was asked to go and play such a morph. So in the intrests of accuracy, I went about printing up a copy and measuring it to the character's height of 12 feet (or 144 inches). While the male bits are no problem, as they're measured in terms of length and diameter, the bustline has it's own problems -- namely, how to generate a cup size from a diameter measurement.
If you remember a previous entry, you'd have seen I've made an equasion which will let you do just that. However, it's wildly inaccurate -- it assumes that you're doing a non-anthro ferret with implants instead of a humanoid. It also assumes certian properties of the math which don't fly well. In other words, it's junk. Don't use it.
Last night (after getting some odd calculations) I reworked the equasion, getting a confident number. Today I generalized the new equasion, so get out your notebooks, I'm going to put the equasion on the board:
The circumfrence of a human body, measuring around the torso and breasts as a whole, is:

Where:
r is the individual breast radius (or half the diameter)
b is half the thickness of the torso (front to back)
a is half the width of the torso (side to side) minus the the thickness of the torso.
pi is, of course, 3.141596265...
This has some assumptions in the 2D represnetation:
So, how big of a bust would I be playing? Well, 12' high fur, the breasts would jut out 34.56 inches and rest very close to the hips, covering the entire torso. The calculation is about 101.5 inches around, which works out to a ZZZZ cup -- if they made such a bra size.
If you remember a previous entry, you'd have seen I've made an equasion which will let you do just that. However, it's wildly inaccurate -- it assumes that you're doing a non-anthro ferret with implants instead of a humanoid. It also assumes certian properties of the math which don't fly well. In other words, it's junk. Don't use it.
Last night (after getting some odd calculations) I reworked the equasion, getting a confident number. Today I generalized the new equasion, so get out your notebooks, I'm going to put the equasion on the board:
The circumfrence of a human body, measuring around the torso and breasts as a whole, is:

Where:
r is the individual breast radius (or half the diameter)
b is half the thickness of the torso (front to back)
a is half the width of the torso (side to side) minus the the thickness of the torso.
pi is, of course, 3.141596265...
This has some assumptions in the 2D represnetation:
- Breasts are circular.
- The torso is near-eliptical, and in the model, uses a rounded rectangle calculation to simplify the math a bit.
- Also to simplify the math, the measurement from bust to torso is made at a 45 degree angle.
- The breasts are touching the torso.
- The model is symetric
So, how big of a bust would I be playing? Well, 12' high fur, the breasts would jut out 34.56 inches and rest very close to the hips, covering the entire torso. The calculation is about 101.5 inches around, which works out to a ZZZZ cup -- if they made such a bra size.