Titanium is a highly durable and corrosion-resistant metal that is relatively easy to maintain and keeps looking shiny. Here are a few steps you can follow to make your titanium ring shiny:

1. Clean the ring: Before attempting to polish your titanium ring, clean it thoroughly to remove any dirt, dust, or other debris. You can soak the ring in warm, soapy water and scrub it gently with a soft-bristled brush.
2. Dry the ring: After cleaning the ring, dry it off thoroughly using a soft, lint-free cloth. Make sure to remove any water or moisture from the surface of the ring to prevent water spots or other blemishes.
3. Apply a polishing compound: Once the ring is dry, you can apply a polishing compound designed for use on titanium. These compounds typically come in a paste or liquid form and can be applied using a soft cloth or polishing wheel. Rub the polishing compound onto the surface of the ring in a circular motion, using light pressure.
4. Buff the ring: After applying the polishing compound, use a soft cloth or polishing wheel to buff the surface of the ring. This will help to remove any remaining residue and bring out the shine of the metal.
5. Rinse and dry the ring: Rinse it under warm water to remove any excess polishing compound, and dry it thoroughly using a soft cloth. Your titanium ring should now be shiny and lustrous.

While titanium is highly durable and resistant to corrosion, it can still become scratched or dulled over time with regular wear. To keep your titanium ring looking its best, take care of it properly and avoid exposing it to harsh chemicals or abrasive materials.