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From Liki-designs to cycle matrices: The discovery of attractive new symmetries. (English) Zbl 0989.01002

From the text: In the final part of Geometry from Africa (1999) I explained how I discovered Lunda-designs in the context of analyzing mathematical aspects of traditional “sona” pictograms from Angola and then I presented briefly some properties and generalizations of Lunda-designs. In one of the chapters of my forthcoming book “The beautiful geometry and linear algebra of Lunda-designs” I explain in detail how experimentation with Liki-designs, a particular class of Lunda-designs, led me to the discovery of cycle matrices. The present paper gives an overview.

MSC:

01A07 Ethnomathematics (general)
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