Dating from the early part of the 1900's, here is a very interesting table doily measuring 22" square with a linen center. The outside "lace" edge is hand assembled from ready-made purchase tape lace. This particular braid is called turtle lace and is so named for a resemblance of a turtle.
Looking at the edging in the photo I believe you will see the braid goes both cross wise as well as vertical. The braid is then secured with a needle and crochet thread to form the bridges or brides to unify the piece and giving the overall look of flowers. I was very intrigued with this piece. The doily has been laundered and pressed. No damaged that I noticed.
There were many of these novelty braid used in the making of tape tape. Different styles and examples as well as the lay out of the pattern would determine the outcome of the lace project when finished. Usually the braids were packaged on card in about 4 yd lengths. One such tape lace I am sure you are more familiar with, is Battenburg lace.