least two pitch steps p the third warp fiber returning over a lower intermediate weft fiber 3 10 17 24 of a four weft fiber column c 1 c 3 c 5 c 7 that is spaced apart from the first column by at least four pitch steps p the positions of the parallel warp fibers 29 30 31 32 33 34 35 36 37 38 39 40 are offset longitudinally by one pitch step p from one plane to another continuous lines represent the warp fibers 29 30 31 of plane p 1 short dashed lines represent the warp fibers 23 33 34 of plane p 2 chain dotted lines represent the warp fibers 35 36 37 of plane p 3 and finally long dashed lines represent the warp fibers 38 39 40 of the plane p 4 the offset can be seen particularly clearly returning to fig2 the pattern 110 is cut out from said fabric in such a manner that the weft fibers extend along the axis of symmetry 114 of the pattern 110 according to a particular aspect of the invention the pattern 110 is then rolled up to form a tube by bringing its edges 112 close together as shown diagrammatically in fig3 the plies of the fabric slide relative to one another with sliding being zero on the axis of symmetry 114 and at its maximum in the vicinity at the edges 112 such that the edges take on a chamfered shape the edges 112 are.