ABSTRACT

This chapter explains a number of ways to vary and generalise modular origami stars. It starts by distinguishing variation from creation. It then describes three methods for varying and generalising a flat star: changing the number of units without changing the unit, embedding in a different rectangle without changing the key angle, embedding in a different rectangle and changing the key angle. A specific origami model, Star 8 Octad, is varied using these methods.

The chapter concludes by describing how to divide an edge into equal parts by folding and how to divide an angle equal parts (namely a right angle, 180 degrees and 360 degrees). Eight methods are given for folding the edge of a square into thirds. A novel method for improving the 36 degrees approximation for a unit square is given.