The architecture of the Magical Mathematics Museum should be ambiguous - right at the intersection of architecture and furniture.
The cat-house should be an inspiration. Children like this tactile architecture so let us concentrate on relatively inexpensive, internal, tactile architectural experiences - foregoing stunning, but expensive external facades.
Verner Panton (1926-1998) was an adept at exploiting the intersection of architecture and furniture. I encourage you to check out Verner Panton's web site pictured below: www.panton.ch/design