zbMATH — the first resource for mathematics

The icosahedron. (English) Zbl 0723.51001
The paper is a lecture given to the Singapore Math. Soc. in connection with the prize-giving ceremony for the Inter-School Math. Competition. The author describes the relation between the symmetry group of the icosahedron and the fact that the quintic equation cannot be solved by using radicals - just in the spirit of Felix Klein’s “Icosahedron” book. After some related questions the lecture ends with a short outline on Lie groups.
Reviewer: J.M.Wills (Siegen)
51-03 History of geometry
51F15 Reflection groups, reflection geometries
01A15 History of mathematics of the indigenous cultures of Europe (pre-Greek, etc.)