%0 Journal Article %T The power of backtracking and the confinement of length %A Timothy H. McNicholl %J Mathematics %D 2011 %I arXiv %X We show that there is a point on a computable arc that does not belong to any computable rectifiable curve. We also show that there is a point on a computable rectifiable curve with computable length that does not belong to any computable arc. %U http://arxiv.org/abs/1106.3310v1