TY - GEN A1 - Helbig, Michael A1 - Seliger, Norbert T1 - Combinatorics of Inductance States in Reconfigurable Air Coils T2 - Proceedings 2nd International Conference on Recent Advances in Mathematics and Informatics (ICRAMI'25) N2 - We propose a group theory based mathematical model for unambiguous inductance states of a reconfigurable air coil inductor utilizing elastic snapping of wire segments. Vertical (axial) and horizontal winding symmetries under group actions reveal distinguishable tuning regions and individual variation states therein. The model is applied to coils of prismatic (cylinder like) and truncated pyramidal (conical like) shape with edges forming a regular polygon as basis, and verified by numerical magnet field simulation. KW - Inductance KW - Magnetic devices KW - Matrices KW - Group theory KW - Combinatorial mathematics Y1 - 2025 SN - 978-9909-00-770-9 ER -