Once dough has doubled in size, flatten the red dough out into a rectangle about 5 x 7" in size.
Flatten the orange dough out to the same size, stack it on top of the red dough, , stretching and pressing to uniformly cover the red piece.
Repeat with yellow, green, and blue dough pieces.
Finally, flatten the purple piece out and stack it on top of the blue dough. Press the whole stack down firmly to flatten & even out a bit, and adhere the doughs.
Using a sharp knife, cut the stacked loaf of dough into 8 equal strips.
One strip at a time, twist the dough to form a candy cane-like spiral, then roll to form the dough into a smooth log.
Secure the ends of this spiral log together, repeat with remaining strips of dough.
Line 2 baking sheets with parchment paper, place formed bagels on the prepared baking sheets.
Cover with plastic wrap, allow to rise for another 20 minutes.