My current inspiration is the Tattwas:

Tattwa are geometric images from India. they are  symbols  that can be used in mandala.  One of the most traditional symbol sets and one considered to have innate power to effect realization is by using  Tattwa. These simple geometric symbols can be used in  meditation.

 Tattwa is a Sanskrit word meaning energy. Tattwas are  five geometric symbols which represent the five universal energies.  Each Tattwas symbolizes unique energies with specific properties, potentials and frequencies. In varying combinations, these five energies make up the sum totality of everything in our physical and spiritual universe. These five basic symbols are combined to create symbols of many different kinds.
 The  tattwa symbols are the ovoid, the triangle, the half-moon, the circle, and the square. These definitions are minimal and in no way represent the totality of the symbol.  Source: http://pjentoft.com/on-Tattwa.html

 

These would make an interesting language. For example the Circle represents air, and we could have all words associated with the element of air. The prominent shape in the mandala would represent the main theme of what is being expressed. So if we are talking about miscommunication, we would probably have a large circle, in orange. As that is the complimentary color of blue (opposite). So a plain orange circle would mean no communication.

If we were talking about something about selling something like a house, the prominent shape would be yellow square it is represents Earth. Earth is all things materialistic. It would be paired with a smaller blue circle since blue circles represent thought and communication, etc.

They [the shapes] would be layered on top of each other above to create a geometrical story…