This is a variation of a Granny Square starting with the normal first two rounds usually seen and then a series of extra blocks to first create an octagonal star and then back to four sides.

Uses sc, hdc, dc and exdc. Exdc = extended double crochet. Instructions for stitch are in pattern.

I made two for potholders, but you could easily make a larger number of blocks

say a strip of 7 or 8 to make a scarf
say 35 - 5 blocks x 7 blocks wide - to make a lapblanket.