Circle-based crochet items are a great way to build a project of multiple radial symmetries around a central point.
They are wonderful for covering a portion of an area without obscuring the entire surface. For example, as a blanket, they highlight and counterpoint the bedspread underneath, or in the center of a near-square room, to let the young-one have a central point to focus and play on. The really attractive feature is that they break up the lines of an otherwise simple stitch, and allow you to make an interesting project without having to learn a whole slew of new stitches.
Rainbow Ripple Baby Blanket Free Crochet Pattern
The Rainbow Ripple Blanket is a beautiful example of how a circle-based pattern can be modified by using straight lines in radially increasing chevrons. This makes a symmetrical starburst pattern that is further accentuated by the layout of the voids and the color bands. This would make a great blanket for keeping the little sprog off the floor during playtime.
Skills: Easy  Designer: Celeste Young

The full article about this pattern is here:
Spoke Flower Blanket Free Crochet Pattern
Here is another blanket along the same idea, but in this case, the chevrons break on the lines of symmetry only when they point towards the center. The outward peak is crocheted continuously. This yields a softer, more flower-like pattern with rounded lobes on the edge, and a gentler theme to it.
Skills: Easy     Designer: Brigitte Read

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Gorgeous pattern