More on the theme of rhombi..

Some had explored:

TO RHOMB :X
REPEAT 2 [ FD :X RT 45 FD :X RT 135]
END
Others had gone a stage further with:

TO PAT :X
REPEAT 8 [RHOMB :X LT 45]
END

 Pattern 1
While others had explored overlaying the patterns produced.
 Pattern 2
Some 'exploded' their patterns Pattern 3
A few did both! Pattern 4

The invitation for you is to explore further this infrequently met family of shapes.

You might like to start by expanding on the procedures above.