https://offthedop.shop/blog/ Visual deep dives from the faceting bench and GPU path tracer: gemstone optics, computational geometry, and precision faceting. en-us Tue, 03 Nov 2026 14:13:17 GMT https://offthedop.shop/blog/are-the-days-of-human-gem-design-over.html https://offthedop.shop/blog/are-the-days-of-human-gem-design-over.html Sat, 12 Dec 2026 09:00:00 GMT From 1902 Zeiss logarithm tables and the 1983 America's Cup to NASA's 2006 evolved spacecraft antenna and 124,800 gemstone niches: what history and hard optical physics say about the future of hand-tuned faceting diagrams. History & Legacy Computation Physics & Optics https://offthedop.shop/blog/eight-practical-gem-cutting-tips-from-our-gpu-experiments.html https://offthedop.shop/blog/eight-practical-gem-cutting-tips-from-our-gpu-experiments.html Sat, 05 Dec 2026 09:00:00 GMT Eight practical, no-fluff gemstone design and faceting tips distilled from our optical studies: from the 2% girdle height sweet spot and shrinking flat tables for rainbow fire to odd-symmetry outlines, staggered crown angles, Shannon entropy, and staying off the critical-angle cliff. Craft & Practice Physics & Optics https://offthedop.shop/blog/from-pixel-blinks-to-virtual-facets-scintillation-v3.html https://offthedop.shop/blog/from-pixel-blinks-to-virtual-facets-scintillation-v3.html Sat, 28 Nov 2026 09:00:00 GMT How ProFacet evolved from Scintillation V1 and V2 to Scintillation V3: why overcast skies and coarse block averages get fooled by tilted domes, whether direct surface reflection off the crown counts, and what our GPU Flash Maps reveal across the catalog. Physics & Optics Computation https://offthedop.shop/blog/the-girdle-height-paradox-brightness-contrast-entropy-and-fire.html https://offthedop.shop/blog/the-girdle-height-paradox-brightness-contrast-entropy-and-fire.html Sat, 21 Nov 2026 09:00:00 GMT What 13,248 GPU 3D gemstone evaluations (264,960 viewing-angle raytraces) across 722 stones, 8 refractive indices, 9 shape families, and 18 girdle heights (0.0% knife-edge to 20.0% drum) reveal about Brightness, Contrast Density, Shannon Entropy, Scintillation, and 3-wavelength Dispersive Fire. Physics & Optics Computation Craft & Practice https://offthedop.shop/blog/beyond-the-flat-table-all-39-crown-architectures.html https://offthedop.shop/blog/beyond-the-flat-table-all-39-crown-architectures.html Sat, 14 Nov 2026 09:00:00 GMT A complete visual and mathematical field guide to all 39 canonical gemstone crown architectures in ProFacet and OffTheDop: from Asscher steps and 37-cell compound-eye honeycombs to Archimedean mosaics, Catalan duals, Penrose quasi-crystals, Poincare hyperbolic disks, Asa-no-ha triangle super-tilings, two-tone satin chessboards, Origami folds, and negative-space infinity wells. Computation Physics & Optics Craft & Practice https://offthedop.shop/blog/making-contrast-computable.html https://offthedop.shop/blog/making-contrast-computable.html Sat, 07 Nov 2026 09:00:00 GMT How ProFacet and OffTheDop make gemstone spatial contrast mathematically computable across 19 tilt angles via WebGPU 3x3 Sobel gradients, decomposing Contrast Density from Contrast Intensity and proving across 4,799 stones why static 0-degree ASET Blue fails (r = -0.174). Physics & Optics Computation https://offthedop.shop/blog/what-our-gpu-fire-detector-revealed-about-dispersion.html https://offthedop.shop/blog/what-our-gpu-fire-detector-revealed-about-dispersion.html Sat, 31 Oct 2026 09:00:00 GMT Four GPU Fire Detector experiments on strictly colorless crystals: why Cubic Zirconia (RI 2.15) out-fires Diamond (RI 2.42) by 57%, what our pipeline's single-RI dispersion lookup ignores, why flat tables sleep at 0 degrees and double at 20 degrees tilt, and why fire varies 4.9x across 526 catalog stones. Physics & Optics Computation https://offthedop.shop/blog/shannon-entropy-in-gemstone-design.html https://offthedop.shop/blog/shannon-entropy-in-gemstone-design.html Sat, 24 Oct 2026 09:00:00 GMT Introducing 1948 Claude Shannon Information Entropy (32 luminance bins across 19 tilt angles) to gemstone design: solving the binary black-and-white strobe blind spot of Brightness and Contrast, what 4,799 gemstones reveal, and the 5.00-bit TV Static Trap. Physics & Optics Computation https://offthedop.shop/blog/cam-preform-models-and-fsl-system-macros.html https://offthedop.shop/blog/cam-preform-models-and-fsl-system-macros.html Sat, 17 Oct 2026 09:00:00 GMT What a CAM model (FSL system macro) is, why unequal girdle radii on non-round stones require a sacrificial centerpoint cone, and how 44 open-box FSL macros carve emeralds, cushions, ovals, pears, and asymmetric kites on a flat lap. Computation Craft & Practice https://offthedop.shop/blog/brainfuck-in-fsl-hello-world-on-a-crystal-cube.html https://offthedop.shop/blog/brainfuck-in-fsl-hello-world-on-a-crystal-cube.html Sat, 10 Oct 2026 09:00:00 GMT A tongue-in-cheek computer-science stunt for compiler nerds: writing a pure-functional Turing-complete Brainfuck virtual machine inside FSL without loops or mutation to carve HELLO WORLD, Rule-90 Sierpinski, and Fibonacci onto a 350-facet crystal cube. Computation Physics & Optics https://offthedop.shop/blog/benchmarks-and-base-shapes.html https://offthedop.shop/blog/benchmarks-and-base-shapes.html Sat, 03 Oct 2026 09:00:00 GMT Where 92,678 GPU-optimized OffTheDop gemstone designs sit in 3D Brightness and Contrast relative to 11 classic reference cuts (Hearts & Arrows, Tolkowsky, Portuguese, Van Sant, Hanami), why Moissanite hooks leftward from Fresnel glare, and how the 10 base shapes rank. Physics & Optics Computation https://offthedop.shop/blog/cut-forgiveness-and-hearts-and-arrows.html https://offthedop.shop/blog/cut-forgiveness-and-hearts-and-arrows.html Sat, 26 Sep 2026 09:00:00 GMT What 8.33 million Monte Carlo virtual gem cuts across 83,328 OffTheDop designs reveal about Cut Forgiveness, optical plateaus versus knife-edges, and why Hearts & Arrows keeps 98.2% of its 3D light return long after its 8 scope arrows blur. Physics & Optics Computation https://offthedop.shop/blog/executable-intent-the-philosophy-of-fsl.html https://offthedop.shop/blog/executable-intent-the-philosophy-of-fsl.html Sat, 19 Sep 2026 09:00:00 GMT Why a gemstone is an executable sequence of physical lap cuts and stopping invariants rather than a static 3D polygon mesh or frozen decimal depth table, explored through live FSL code, geometric failure modes, and GPU path-traced crystals. Computation Craft & Practice Physics & Optics https://offthedop.shop/blog/from-slide-rules-to-3d-rays.html https://offthedop.shop/blog/from-slide-rules-to-3d-rays.html Sat, 12 Sep 2026 09:00:00 GMT How five classic pre-computer faceting rules of thumb made sense on slide rules and graph paper, how gemology retired them decades ago, how ProFacet and OffTheDop measure A True Window, and what 3D path tracing shows inside a crystal. Physics & Optics Craft & Practice https://offthedop.shop/blog/origami-crown-sculptures.html https://offthedop.shop/blog/origami-crown-sculptures.html Sat, 05 Sep 2026 09:00:00 GMT How we taught a 96-index faceting diagram to fold 108 origami animals out of real crystal meetpoints using temporary self-erasing help-cuts, all free ($0) on OffTheDop. Computation Craft & Practice