A. Navas

activity

20232026

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math.GM2025

Parametric proofs of the Pythagorean theorem via ziggurats and pyramids

Andrés Navas

We present two parametric families of area-rearrangement proofs of the Pythagorean theorem. Our contribution is primarily constructive and expository: we organize the geometry thro…

math.FA2025

Some examples of affine isometries of Banach spaces arising from 1-D dynamics

Andrés Navas

We provide a large family of examples of affine isometries of the Banach spaces $C^{0} (S^{1})$ , $L^{1} (S^{1})$ and $L^{2} (S^{1} \times S^{1})$ that are fixed-point-free despite being recurren…