There are numerous designs called KALEIDOSCOPE, a name very workable for geometric patchwork, as is evident from the star patterns printed on the sides of the toy illustrated left (made of tin by Schylling and available at Amazon.com). The black and white circle motif above right (as a suggestion for a possible fabric type) imitates the eyepiece. See tiling below (everything whirling and kaleidoscopic).
Jinny Beyer's QUILTER'S ALBUM OF PATCHWORK PATTERNS lists ten different "Kaleidoscope" blocks (Barbara Brackman has 14) — this one first appeared in print in the Farm Journal in 1941. The rendering here is slightly simplified — in the original, the top and bottom of the white background squares are tinted (compare the tilt with SQUARE DANCE). See Beyer, p. 218-8, and Barbara Brackman's ENCYCLOPEDIA OF PIECED QUILT PATTERNS, #1421.
Children's games, toys and rhymes, as inspiration for the names of patchwork designs, populate quiltdom, see, for instance:
ANN'S DOLL QUILT
BIRDS AND KITES
OLD KING COLE'S CROWN
PUSS IN THE CORNER
TIC TAC TOE
TO MARKET, TO MARKET