Titlebook: Mathematical Surprises; Mordechai Ben-Ari Book‘‘‘‘‘‘‘‘ 2022 The Editor(s) (if applicable) and The Author(s) 2022 open access high school m

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Ramsey Theory,Ramsey theory is a branch of combinatorics that asks questions of the form: How large must a set be so that if it is divided into subsets, at least one subset has a certain property? Results in Ramsey theory are difficult to prove and there remain many open problems.

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,Lill’s Method and the Beloch Fold,Construct a path consisting of four line segments {. = 1, . = 6, . = 11, . = 6}, starting from the origin along the positive direction of the .-axis and turning 90. counterclockwise between segments.

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A Straightedge and One Circle is Sufficient,Can every construction with a straightedge and compass be done with only a straightedge? The answer is no because lines are defined by linear equations and cannot represent circles which are defined by quadratic equations.

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Construction of a Regular Heptadecagon,The only regular polygons that the Greeks knew how to construct with a straightedge and compass were the triangle, the square, the pentagon and the regular polygon with 15 sides.

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mentary Mathematics.Perfectly suitable for an extra-curricul.This is open access book provides plenty of pleasant mathematical surprises. There are many fascinating results that do not appear in textbooks although they are accessible with a good knowledge of secondary-school mathematics. This book p

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Book‘‘‘‘‘‘‘‘ 2022ugh they are accessible with a good knowledge of secondary-school mathematics. This book presents a selection of these topics including the mathematical formalization of origami, construction with straightedge and compass (and other instruments), the five- and six-color theorems, a taste of Ramsey t

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Cardiac