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Porro prism and Perger prism binoculars and roof prism binoculars using the Abbe–Koenig roof prism configuration do not use mirror coatings because these prisms reflect with 100% reflectivity using total internal reflection in the prism rather than requiring a (metallic) mirror coating.
A roof prism, also called a Dachkanten prism or Dach prism (from German: Dachkante, lit. "roof edge"), is a reflective prism containing a section where two faces meet at a 90° angle, resembling the roof of a building and thus the name.
A Schmidt–Pechan prism is a type of optical prism used to rotate an image by 180°. These prisms are commonly used in binoculars as an image erecting system. The Schmidt–Pechan prism makes use of a roof prism section (from the German: "Dachkante", lit. roof edge ).
Abbe-Koenig prisms are significantly longer than Schmidt–Pechan prisms, and were and are rarely used except in large roof prism type binoculars, where light weight, compact size and cost are less important than ultimate light-gathering power.
Trinovid is the protected model designation of a roof prism binoculars series from the company Leitz (optics) (since 1986 Leica Camera) based in Wetzlar, a German centre for optics as well as an important location for the precision engineering industry.
A relatively new type of telescopic sight, called prismatic telescopic sight, prismatic sight or "prism scope", replaces the image-erecting relay lenses of a traditional telescope with a roof prism design commonly found in compact binoculars, monoculars and spotting scopes.