SpeckeledHen,
Good job on your kalidiscope, if you do it w/ the whole piece of fabric, every one you make will be completely different. The set up takes a little time, but basically get a fabric w/ a short repeat and enough to have 6 repeats. Cut each repeat apart and stack them in same direction on top of each other, w/ a pin line up all layers and pin in place, then cut using a 60' triangle. Each stack will be a complete kali, when completed. Stack them all up and sew the first two sets, then when complete sew the extra to make 2 sets of 3, then sew them together in the middle. 1/4 seam isn't manditory, but same seam allowance is. No fussy cutting and cool results.