Hexidec

GemCad Ray Traces for RI = 1.54 | ||
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Random Model | Cosine Model | ISO Model |
Hexidec – Designed by Paul A. Head headbnk@azstarnet.com ©1995 | |
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Angles for R.I. = 1.54 | 129 facets + 16 facets on girdle = 145 |
16-fold, mirror-image symmetry | 96 index |
L/W = 1.000 T/W = 0.503 T/L = 0.503 P/W = 0.450 C/W = 0.146 | H/W = (P+C)/W+0.02 = 0.616 P/H = 0.731 C/H = 0.236 |
Vol./W^3 = 0.201 | Brightness at 0 degrees tilt for quartz Cos = 86.0% ISO = 91.5% |
Pavilion | |||
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P1 | 42.00 | 01-05-07-11-13-17-19-23-25-29-31-35-37-41-43-47-49-53-55-59-61-65-67-71-73-77-79-83-85-89-91-95 | Cut to Common Center Point |
G1 | 90.00 | 96-06-12-18-24-30-36-42-48-54-60-66-72-78-84-90 | Set width of stone. |
P2 | 43.00 | 96-06-12-18-24-30-36-42-48-54-60-66-72-78-84-90 | Meet G1-G1-P1;makes level Girdle. |
P3 | 41.50 | 96-06-12-18-24-30-36-42-48-54-60-66-72-78-84-90 | Meet P1-P1-P2,forms new CCP. |
Crown | |||
C1 | 31.00 | 96-06-12-18-24-30-36-42-48-54-60-66-72-78-84-90 | Match G1; Leave 2% of W for girdle. |
C2 | 30.1 | 01-05-07-11-13-17-19-23-25-29-31-35-37-41-43-47-49-53-55-59-61-65-67-71-73-77-79-83-85-89-91-95 | Meet G1-G1-C1 at Girdle. |
C3 | 29.00 | 96-06-12-18-24-30-36-42-48-54-60-66-72-78-84-90 | Meet C1-C2-C2 |
0.00 | Table | Meet C2-C2-C3-C3 |
I have cut a 22.8 mm topaz from this design with no difficulty but would not want to try a 10 mm size. Note that the angles shown are not given for any particular R.I. – you will need to tangent ratio them as appropriate for the R.I. of the material you select. This design is both simple and easy to cut.
Recommended Hexidec Angles for Other Refractive Indexes | ||||
R.I. = 1.62 P1 40.5 P2 41.5 P3 40.0 C1 32.0 C2 31.1 C3 30.0 P/W = 42.7% C/W = 15.1% ISO = 92.2% |
R.I. = 1.76 P1 41.0 P2 42.0 P3 40.5 C1 42.0 C2 41.0 C3 39.7 P/W = 43.5% C/W = 21.8% ISO = 90.2% |
R.I = 1.76 P1 36.5 P2 37.4 P3 36.0 C1 41.0 C2 40.0 C3 38.7 P/W = 37.0% C/W = 21.0% ISO = 87.6% |
R.I. = 2.15 P1 32.5 P2 33.4 P3 32.0 C1 44.0 C2 43.0 C3 41.7 P/W = 31.8% C/W = 23.4% ISO = 94.8% |
R.I = 2.15 P1 42.0 P2 43.0 P3 41.5 C1 37.0 C2 36.0 C3 34.8 P/W = 45.1% C/W = 18.2% ISO = 92.0% |
The dual choices for R.I. 176 and 2.15 are because the ISO brightness contour maps have two high value ridges. I have not picked the absolute highest ISO values but have hedged toward higher crowns to enhance the effects of dispersion.
Enjoy cutting your Hexidec!
GemCad File