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  • 1 Department of Mathematics and Statistics, University of Calgary & Department of Geometry Eötvös Loránd University 2500 University Drive N.W., Calgary, AB, T2N 1N4, Canada & Pázmány Péter sétány 1/c H-1117 Budapest, Hungary 2500 University Drive N.W., Calgary, AB, T2N 1N4, Canada & Pázmány Péter sétány 1/c H-1117 Budapest, Hungary
  • 2 Department of Geometry, Eötvös Loránd University Pázmány Péter sétány 1/c H-1117 Budapest, Hungary Pázmány Péter sétány 1/c H-1117 Budapest, Hungary
  • 3 Department of Geometry, Eötvös Loránd University & Department of Geometry, Bolyai Institute University of Szeged Pázmány Péter Sétány 1/c H-1117 Budapest, Hungary & 1 Aradi vértanúk tere, H-6720 Szeged, Hungary Pázmány Péter Sétány 1/c H-1117 Budapest, Hungary & 1 Aradi vértanúk tere, H-6720 Szeged, Hungary
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Summary  

The notion of successive illumination parameters of convex bodies is introduced. We prove some theorems in the plane and determine the exact values of the successive illumination parameters of spheres, cubes and cross-polytopes for some dimensions.

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