We propose a 3D-printed interface, CAPath, in which conductive contact points are in a grid layout. This structure allows not only specific inputs (e.g., scrolling or pinching) but also general 2D inputs and gestures that fully leverage the “touch surface.” We provide the requirements to fabricate the interface and implement a designing system to generate 3D objects in the conductive grid structure. The CAPath interface can be utilized in the uniquely shaped interfaces and opens up further application fields that cannot currently be accessed with existing passive touch extensions. Our contributions also include an evaluation for the recognition accuracy of the touch operations with the implemented interfaces. The results show that our technique is promising to fabricate customizable touch-sensitive interactive objects.