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Finiteness of the number of convex Regular Faced Polyhedra (RFP) and the remaining cases of regularity restrictions

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Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem

Part of the book series: Texts and Readings in Mathematics ((TRM))

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Abstract

In this chapter, we consider polyhedra II satisfying the regularity condition (I.), i.e. polyhedra whose faces are regular polygons with no further restrictions imposed on II. This leads to one of the most beautiful and difficult results in this topic. Polyhedra satisfying this regularity condition (I.) are termed regular faced polyhedra and abbreviated to RFP.

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© 2001 Hindustan Book Agency

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Rajwade, A.R. (2001). Finiteness of the number of convex Regular Faced Polyhedra (RFP) and the remaining cases of regularity restrictions. In: Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-06-4_9

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