After fixing Cowl a single dice with FIVE an identical dice nets I had the thought for this puzzle, which can be considered a pure generalisation to triangular grids.
Discover two totally different nets, A and B, of a daily octahedron such that these two collections of nets can every be folded into the floor of a single common octahedron with seven occasions the floor space of the unique octahedron:
- 3 copies of A and 4 of B
- 6 copies of A and 1 of B
Restrictions from the five-cubes-to-cube puzzle apply analogously:
- A and B have to be fashioned by reducing alongside the unique octahedron’s edges (so they’re octiamonds). All small nets are of the identical measurement.
- The nets are one-sided. Suppose one facet of every internet is painted, then all copies of A have to be an identical with out flipping when the painted facet is up, and equally for B. The big octahedra fashioned by each internet collections should present solely painted faces.
- The big octahedra should have no gaps or overlaps in them.
As a touch, A and B differ by just one triangle.