If you are looking for an versatile, high-performance hexagonal gem design, Geometric Etude #1 (designed by Arya Akhavan in December 2012) is an exceptional experimental geometric pattern[span_3](start_span)[span_3](end_span).
Part of the Geometric Etudes suite, this design was crafted so that all corners are connected by unbroken lines[span_4](start_span)[span_4](end_span). Its small table size effectively eliminates windowing, making it work seamlessly across a wide RI range—from Quartz to Rutile (RI 1.54 – 2.62) without any angle adjustments[span_5](start_span)[span_5](end_span). It performs exceptionally well in Blue Topaz[span_6](start_span)[span_6](end_span).
Design Specifications
| Parameter | Specification Details |
|---|---|
| Designer & Suite | Arya Akhavan (Dec 2012) | Geometric Etudes[span_7](start_span)[span_7](end_span) |
| Target Refractive Index | R.I. = 1.610 (Works for RI 1.54 to 2.62 without changes)[span_8](start_span)[span_8](end_span) |
| Facet Count | 43 facets + 6 girdles = 49 total facets[span_9](start_span)[span_9](end_span) |
| Symmetry & Gear Index | 6-fold mirror-image symmetry | 96 Index Gear[span_10](start_span)[span_10](end_span) |
| Proportions (L/W, T/W, P/W, C/W) | L/W = 1.155 | T/W = 0.192 | U/W = 0.167 | P/W = 0.450 | C/W = 0.208[span_11](start_span)[span_11](end_span) |
| Volume Ratio & Size | Vol./W³ = 0.253 | Suggested stone size = 6–10 mm[span_12](start_span)[span_12](end_span) |
Step-by-Step Faceting Angles & Cutting Instructions
1. Pavilion Cutting Sequence
| Facet | Angle | 96-Index Settings | Instruction / Meet Point |
|---|---|---|---|
| P1 | 43.00° | 08-24-40-56-72-88 | Cut to centerpoint[span_13](start_span)[span_13](end_span) |
| G1 | 90.00° | 08-24-40-56-72-88 | Set stone size[span_14](start_span)[span_14](end_span) |
| P2 | 41.00° | 07-09-23-25-39-41-55-57-71-73-87-89 | Meet P1, G1[span_15](start_span)[span_15](end_span) |
2. Crown Cutting Sequence
| Facet | Angle | 96-Index Settings | Instruction / Meet Point |
|---|---|---|---|
| C1 | 45.00° | 08-24-40-56-72-88 | Set girdle width[span_16](start_span)[span_16](end_span) |
| C2 | 32.22° | 02-14-18-30-34-46-50-62-66-78-82-94 | Meet G1, C1[span_17](start_span)[span_17](end_span) |
| C3 | 9.34° | 08-24-40-56-72-88 | Meet C1, C2[span_18](start_span)[span_18](end_span) |
| T (Table) | 0.00° | Table | Cut to 1/3 of C3 edge length[span_19](start_span)[span_19](end_span) |
Pro Cutting & Material Tips
- Wide Material Compatibility: Works seamlessly in materials from Quartz up to Rutile (RI 1.54 to 2.62) without scaling angles[span_20](start_span)[span_20](end_span).
- Table Proportion: Make sure to cut the flat Table (T) precisely to 1/3 of the C3 facet's edge length to maintain symmetry and prevent windowing[span_21](start_span)[span_21](end_span).
- Recommended Size: Ideal for stone sizes between 6 mm and 10 mm[span_22](start_span)[span_22](end_span).
Discover more free precision gem diagrams and lapidary cutting tutorials on Horizon Gems!
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