A regular octahedron has exactly 11 nets, the same count as a cube. They match because the cube and the octahedron are duals: map the faces of one to the vertices of the other and the faces join up in exactly the same pattern, with squares simply replaced by equilateral triangles.
The eight triangles sit on a triangular grid where upward and downward triangles interlock. A face colour is decided by which of the octahedron's six vertices (±X, ±Y, ±Z) that face touches, so every net shows all eight colours exactly once. Turn on the numbers in the display panel to follow how the faces pair up as the net closes.
The dihedral angle of a regular octahedron is arccos(-1/3), about 109.47 degrees. Folding a net back means lifting through the supplement of that, so each crease closes through about 70.53 degrees, shallower than either the cube or the tetrahedron. That is why the same count of 11 shapes looks flatter on the way open than the cube does.