Recreational mathematics
A magic star with its outer polygon closed into a magic ring: n outer points, n inner crossings, and 2n new edge points — 4n numbers in all. Every star line and every ring side sums correctly.
Orders 5–12 (Unified mode) are pre-verified and load instantly — no search needed, just like the plain magic star generator. Other orders or Two-constant mode fall back to a live search below.