Create a luxurious and eye-catching nail art design embodying the opulent allure of diamonds. Envision each nail as a jewel box, shimmering with intricate patterns that resemble cut diamonds. Use a combination of metallic silver, iridescent whites, and hints of holographic sparkle to mimic the glittering facets of gemstones. Incorporate geometric linework and delicate 3D embellishments to elevate the sense of depth and brilliance in the design. The final look should exude elegance, resembling a treasure trove of precious diamonds held at your fingertips.