The author was invited by the organizers of the Benin symposium on the encounter between rationalities to contribute from the particular perspective of his research experience in ethno-mathematics – the study of mathematical ideas and practices as embedded in their cultural contexts. In this article he tries to contribute to the understanding of mathematical reasoning, as embedded in cultural practices, by means of illuminating some complementary aspects of geometrical exploration in diverse cultural contexts. He ends by offering a few comments (...) on possible educational implications. (shrink)