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Glaeser, Georg o. Univ.-Prof. Mag.rer.nat. Dr.techn.

17th Scientific-Professional Colloquium on Geometry and Graphics
Computer animation, Applied geometry, Geometry
The sophisticated geometry of compound eyes and some applications in bionics abstract: Nature has evolved two major kinds of highly efficient eyes in t he animal kingdom: Lens eyes and compound eyes. The latter are characteristic f or insects (on land) and crustacean (in water). In general, the individual “ommatid ia” (facets) of compound eyes are basically hexagonal conic frustums. Some families of crustacean (crayfish and some shrimps), however, have almost perfect quadratic p risms as ommatidia which turn out to be of special interest for applications in b ionics. We investigate both kinds of ommatidia and try to explain the effect of so- called “pseudo pupils”. This effect already allows to classi fy the different types of compound eyes (Fig. 1, Fig. 2, [1]). Surprisingly, crayfish-eyes work like sophisticated optic al lenses [3, 5], although they use a completely different method: Light rays are not ref racted but reflected several times at the reflecting faces of each ommatidium. Ama zingly, a more or less large amount of all passing light rays is thus bundled on a concentric convex (basically spherical) shape (Fig. 2). The method of focusing light by means of large series of reflec ting quadratic prisms is currently being introduced to telescopes to explo it tiny amounts of rays (e.g., X-rays) from outer space [2], or even for new types of c ameras [4].
Croatian Society for Geometry and Graphics HDGG
Georg Glaeser
date, time and location
2013-09-04 – 2013-09-08
Rastoke (Kroatien)