Gigaminx and up: reduction

The gigaminx, teraminx, petaminx, examinx, zettaminx and yottaminx are megaminxes with more layers per face, as the 4x4 to 7x7 are to the 3x3. They are solved by reduction: build each face's centre, group each edge's pieces, then solve the result with megaminx steps and algorithms (wide turns move the inner layers with the face).

Build bars and join them into face centres, preserving completed centres by using the unsolved faces as working space. Establish the full colour scheme from the corners before committing many centres: adjacent colours, not only opposite colours, determine the final layout. On larger minxes, work from smaller inner regions toward the outer centre pieces so completed bars remain manageable.

Match wings to their middle edge piece by both colours. Join matching groups with slice turns, replace the completed group with an unfinished group using outer turns, then restore the slice so centre bars remain intact. Work through corresponding inner-slice orbits consistently; a partly paired edge should not be mistaken for a finished edge group.

Notation follows big cubes: R turns the outer layer, 2R the second layer alone, Rw (or r) the outer layer and the next, 3Rw the outer three.

Check that every centre is uniform and every edge group matches along its full length before switching to outer turns. From there use the megaminx methods and sets. These reduction puzzles have no independently sourced algorithm lists in this catalogue; their pages link the shared finish instead of inventing puzzle-specific cases.