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RESEARCH PRODUCT
Historical Notes on Star Geometry in Mathematics, Art and Nature
Nicla PalladinoMaria Alessandra VaccaroAldo Brigagliasubject
CombinatoricsPolyhedronMathematics::History and OverviewPolygonMathematics::Metric GeometryComputer Science::Computational GeometryStar (graph theory)History of Mathematics Star polygons and polyhedra.MathematicsCounterexampledescription
Gamma: “I can. Look at this Counterexample 3: a star-polyhedron I shall call it urchin. This consists of 12 star-pentagons. It has 12 vertices, 30 edges, and 12 pentagonal faces-you may check it if you like by counting. Thus the Descartes-Euler thesis is not true at all, since for this polyhedron \(V - E + F = - 6\)”. Delta: “Why do you think that your ‘urchin’ is a polyhedron?” Gamma: “Do you not see? This is a polyhedron, whose faces are the twelve star-pentagons”. Delta: “But then you do not even know what a polygon is! A star-pentagon is certainly not a polygon!”
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-01-01 |