Magic Rectangle app for iPhone and iPad

Magic Rectangle is the best high contrast game for babies. No longer are babies constrained to static images in a high contrast picture book. Choose from squares, triangles, ovals, circles, fans, stars, and hearts! Create your own shape and color combos in app! Custom shapes sync between devices using iCloud.

Each time the baby presses the screen, more shapes appear and then disappear.

Here are some reviews from satisfied customers:
"goo goo dada" - Baby

The app is paid to remove the need for in-app purchases and prevent accidental purchases by kids.