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The 2-twist-spun trefoil has the triple point number four
Authors:Shin Satoh   Akiko Shima
Affiliation:Department of Mathematics, Chiba University, Inage, Chiba, 263-8522, Japan ; Department of Mathematics, Tokai University, 1117 Kitakaname, Hiratuka, Kanagawa, 259-1292, Japan
Abstract:The triple point number of an embedded surface in 4-space is the minimal number of the triple points on all the projection images into 3-space. We show that the 2-twist-spun trefoil has the triple point number four.

Keywords:2-knot   surface-knot   triple point   cocycle invariant   motion picture
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