Solving Cubics With Creases: The Work of Beloch and Lill
T. Hull. The American Mathematical Monthly, 118 (4):
pp. 307-315(2011)
Аннотация
Abstract Margharita P. Beloch was the first person, in 1936, to realize that origami (paperfolding) constructions can solve general cubic equations and thus are more powerful than straightedge and compass constructions. We present her proof. In doing this we use a delightful (and mostly forgotten?) geometric method due to Eduard Lill for finding the real roots of polynomial equations.
%0 Journal Article
%1 hull2011cubics
%A Hull, Thomas C.
%D 2011
%I Mathematical Association of America
%J The American Mathematical Monthly
%K origami
%N 4
%P pp. 307-315
%T Solving Cubics With Creases: The Work of Beloch and Lill
%U http://www.jstor.org/stable/10.4169/amer.math.monthly.118.04.307
%V 118
%X Abstract Margharita P. Beloch was the first person, in 1936, to realize that origami (paperfolding) constructions can solve general cubic equations and thus are more powerful than straightedge and compass constructions. We present her proof. In doing this we use a delightful (and mostly forgotten?) geometric method due to Eduard Lill for finding the real roots of polynomial equations.