One of my interests is lapidary (cutting and polishing stones) and included this is the facting of jewels.  I designed the cut below.  It has few facets so it works well for smaller stones.  The octagonal shape allows it to fit standard mounts.  It is a very bright cut (see below) so I especially like using it to cut Peridot.  One of the world's major sources of Peridot is San Carlos, Arizona.

OCTOBURST
by Steve Corman

Angles for R.I. = 1.74

65 facets + 8 facets on girdle = 73

8-fold, mirror-image symmetry

96 index

L/W = 1.000  T/W = 0.507  T/L = 0.507

P/W = 0.479  C/W = 0.184

H/W = (P+C)/W+0.02 = 0.683

P/H = 0.701  C/H = 0.269

Vol./W^3 = 0.255

Facet	Angle	Index Settings	Comments
Girdle	90	96-2-24-36-48-60-72-84
Pavillion 1	56	96-12-24-36-48-60-72-84	Cut to level girdle
Pavillion 2	42	06-18-30-42-54-66-78-90	Meet 1-girdle
Pavillion 3	40	04-08-16-20-28-32-40-44-52-56-64-68-76-80-88-92	Cuts very fast!  I drag the stone  across a stationary 1200 lap to cut these facets
Crown a	40	96-12-24-36-48-60-72-84	Level girdle
Crown b	35	03-09-15-21-27-33-39-45-51-57-63-69-75-81-87-93	Meet a-girdle
Crown c	30.2	96-12-24-36-48-60-72-84	No meet. Cut to consistent depth to give a 50% table
Table	0	n/a	Meet b-c

Brightness Analysis

This is the projected brightness for the cut.  The light/dark areas in these plots correspond to the reflective versus "leaky" areas of the cut under three different models.  The first assumes a random incoming light pattern, so it is a good reflection of what the finished stone would look like under normal viewing conditions.  As you can see, this is a very bright cut in general.