Every finite-dimensional normed space of dimension at least two over a complete nontrivially valued non-Archimedean field is paradoxical using four affine isometry pieces.
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Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces
Every finite-dimensional normed space of dimension at least two over a complete nontrivially valued non-Archimedean field is paradoxical using four affine isometry pieces.