부산대학교 도서관

A quandle is an algebraic system which excels at describing limited symmetries of a space. We introduce the concept of Schläfli quandles which are defined relating to chosen rotational symmetries of regular tessellations. On the other hand, quandles have a good chemistry with knot theory. Associated with a knot we have its knot quandle. We show that the knot quandle of the m-twist-spun trefoil is a central extension of the Schläfli quandle related to the regular tessellation {3,m} in the sense of the Schläfli symbol if m ≥ 3.