An attempt to generate a brilliant cut diamond shape based on info describing an ideal cut from http://www.folds.net/diamond_design/index.html For something more easy to digest, have a look here https://secure.wikimedia.org/wikipedia/en/wiki/Brilliant_%28diamond_cut%29#Facet_proportions_and_names

Warning: This is just a simplified approximation of a brilliant cut, I am not a jeweller, but this should give you a good idea of size, shape and proportion. Most likely this shape will not print well without well calibrated support.

My code numbering scheme is as follows Version_number < 1.0 not ready to be used by others Version_number ==1.0 ready to be used provided you really know what you're doing Version_number > 1.0 generally safe for use

To do:

• adjust the ratios for the extra 24 facets on top
• add ability to scale or specify a variable e.g. use provides height or diameter or carat weight
• Clean up code!
• Make printable

Changes: 0.4

• discovered relationship between circumscribed circle radii for 8 & 16 sided polygons needed for creating perfect facets along crown and pavillion is SinA+CosATanA where A=(360/16)/2=11.25
• second attempt to add 16 extra facets to crown and pavillion, using above relationship, more successful than previous attempt
• first attempt to add 8 extra facets to crown successful, using above relationship

0.3

• first attempt to add 16 extra facets to crown and pavillion, somewhat unsuccessful

0.2

• attempt to add 8 extra facets to crown and pavillion

0.1

• First attempt with 8 (9) faceted crown and pavillion on either side of cylindrical girdle

If you want to print this...

0. Rotate 180° about X or Y so the flat part is facing down, Move to platform (I am not responsible for destroyed build platforms, you have been warned)
1. Scale to appropriate size
2. Enable support
3. Print
4. Bling bling