Isodynamic Relationships: Genre Undetermined

Their relationship was isodynamic, she thought dreamily. If a dodecahedron and a ellipse fell in love, what would it be? She giggled at the thought, and pushed herself away to drift through the air to her desk, where she fell to sketching out mathematical equations that built great and towering relationships and dramas in her mind. The differential was the blood test between brethren, to see who truly inherited the throne. The square was a knight advancing, and Goedel's theory was the queen stepping forth from behind the throne to call it all a sham.

Inspiration: "isodynamic"
Story Potential: Low.
Notes: This could be a great story if somebody else wrote it, but I think I have not done advanced mathematics in too long.