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Since each crossing is visited twice, this creates a pairing of even integers with odd integers. An appropriate sign is given to indicate over and undercrossing. For example, in this figure the knot diagram has crossings labelled with the pairs (1,6) (3,−12) (5,2) (7,8) (9,−4) and (11,−10).
A knot in R 3 (or alternatively in the 3-sphere, S 3), can be projected onto a plane R 2 (respectively a sphere S 2).This projection is almost always regular, meaning that it is injective everywhere, except at a finite number of crossing points, which are the projections of only two points of the knot, and these points are not collinear.
The legend of Mai An Tiêm was the eight tale told in Lĩnh Nam chích quái, [1] a semi-fictional collection written in the fourteenth century, under the title Tây Qua Truyện (chữ Hán: 西瓜傳; literally 'The Tale of the Western Fruit').
The Hồng Bàng period (Vietnamese: thời kỳ Hồng Bàng), [4] also called the Hồng Bàng dynasty, [5] was a legendary ancient period in Vietnamese historiography, spanning from the beginning of the rule of Kinh Dương Vương over the kingdom of Văn Lang (initially called Xích Quỷ) in 2879 BC until the conquest of the state by An Dương Vương in 258 BC.