Resumen de Uncovering hidden windmills across contexts

Xiaoheng Yan, Rina Zazkis

• Windmill images and shapes have a long history in geometry and can be found in problems in different mathematical contexts. In this paper, we share and discuss various problems involving windmill shapes and solutions from geometry, algebra, to elementary number theory. These problems can be used, separately or together, for students to explore rotational symmetry and connect seemingly unrelated problems.