Continuation of E. A. Posselt's lesson series on designing and fabric structure, covering checkerboard twills in which both effects run in the same direction and only two sides of each square have a clear cut-off. It explains the rule for constructing these weaves from 3- and 4-harness uneven-sided twills and a chosen motive, then describes weaves Fig. 8 through 17 with their repeat sizes and harness requirements. A short item at the end shows six newly patented rug designs by New York-area designers.