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Some generalisations and extensions of a remarkable geometry puzzle

Published online by Cambridge University Press:  15 February 2024

Quang Hung Tran*
High School for Gifted Students, Vietnam National University at Hanoi, Hanoi, Vietnam e-mail:


There is a very interesting mathematical puzzle involving the geometrical configuration in the book Mathematical Curiosities [1, 2] by Alfred Posamentier and Ingmar Lehmann. It is shown in Figure 1.

© The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association

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Posamentier, A. and Lehmann, I., Mathematical curiosities, Prometheus Books (2014).Google Scholar
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Thébault, V., Concerning the Euler line of a triangle, Amer. Math. Monthly 54 (1947) pp. 447453.CrossRefGoogle Scholar
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