As their daily visits accumulate, the children improve their capacity to look, listen, feel, taste, and smell. Lindy is the youngest, so she excels. Tom is doing fine, but Ben, as the oldest, experiences difficulty.

The Potter parents must visit the children’s grandmother, Grandma, for a week. The children have a midterm holiday at the same time, but they can’t go with their parents because Grandma isn’t well enough to receive them. The parents get Ethel, their domestic worker, to stay with the children.

Visiting with Savant again, the children receive hats called “scrappy caps.” The headwear makes the wearer “sympathetic” to their brain’s needs and wants. The headwear is crucial. They’ll help the children get to and from Whangdoodleland. Each child receives a special cap with specific decorations, and Savant explains the meaning of each.

While walking home the next day, Lindy sings a song about her scrappy cap before she runs into a “stranger,” the Prock. He knows Lindy’s name and tells her he and Savant are good friends. After doing a trick with a golden Yo-Yo, he asks about Whangdoodleland. Lindy excitedly tells him about their plans, and then the Prock suddenly vanishes.