A weaving is a number of lines drawn in the plane so that no three lines intersect at a point, and the intersections are drawn so as to show which of the two lines is above the other. For each integer n >= 4 we construct a weaving of n lines, which is not realizable as a projection of a number of lines in 3-space, all of whose subfigures are realizable as such projections.
An infinite sequence of non-realizable weavings / D., Repovs; A., Skopenkov; Spaggiari, Fulvia. - In: DISCRETE APPLIED MATHEMATICS. - ISSN 0166-218X. - STAMPA. - 150:1-3(2005), pp. 256-260. [10.1016/j.dam.2005.02.011]
An infinite sequence of non-realizable weavings
SPAGGIARI, Fulvia
2005
Abstract
A weaving is a number of lines drawn in the plane so that no three lines intersect at a point, and the intersections are drawn so as to show which of the two lines is above the other. For each integer n >= 4 we construct a weaving of n lines, which is not realizable as a projection of a number of lines in 3-space, all of whose subfigures are realizable as such projections.
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