Mathematical Model Testing with 3D Configurations

I need a skilled mathematician or logician to help me test a model I've invented. The model is focused on 3D configurations using color and shape as parameters for object combination.

Key Tasks:
- You will be testing the model for non-repeating combinations and determining the total number of possible configurations.

Ideal Skills:
- Proficiency in mathematical or logical reasoning, with experience in 3D modelling and combinatorics.
- Strong knowledge and experience in abstract mathematical concepts and logical rules.
- An ability to clearly articulate and document the results of the testing, including the total number of non-repeating combinations that can be produced.

This project requires analytical and problem-solving skills, along with the ability to think abstractly and logically.
Experience in testing and verifying mathematical models will be highly beneficial.