Peyote stitch
Every other column sits half a bead lower, because that is how peyote beads interlock. Draw on that lattice and the diagonal you see on screen is the diagonal you get on the thread.
On a square grid a peyote diagonal looks like a staircase and a curve looks like nothing at all. The offset lattice shows the design the way the beadwork will read, so a motif drawn for a loom cuff can be moved to peyote and checked before a single bead is picked up.
Word chart
Rows alternate direction, left then right, matching the turn at the end of each row of even-count peyote.