The Puzzle Cube 7x7x7 is yet another higher order variation inspired by the original Rubik's Cube. It is sometimes referred to as the "V-Cube 7" becuase V-Cube were the first to mass produce this puzzle. The mechanism was invented by Panagiotis Verdes (who also invented the V-Cube 6x6x6) and it was patented in 2004. Manufacturers of this puzzle usually tend to make it a bit "pillowed" or rounded, originally probably due to the complexity of the mechanism but today as a cosmetic feature. It is important to note that while several manufacturers mass-produce this puzzle today, the Rubik's brand is not one of them. This puzzle is quite similar to the Rubik's Professor's Cube only it has 7 parts per edge instead of 5. As with all odd-order Rubik's Cubes variations, the centers of this puzzle are fixed in relation to each other and can be used as a reference point for solving the cube.
This puzzle is made of 8 corner pieces, 60 edge pieces and 150 center pieces, allowing an incredible amount of 1.95x10160 different combinations. Solving it, however, is not very different to any high-order Rubik's Cube with the reduction method: group the 5x5 centers, group the 5x1 edges, and solve like a regular 3x3x3 Rubik's Cube (accounting for parity cases).
The official record for solving the 7x7x7 Puzzle Cube is 1:35.68 set by Max Park at the Marshall Cubing September 2022 competition.