Polychoron Explorer

Explore 4D world as viewed by the eyes of imaginary 4D creature that uses volumetric (3D) space for visual sensing instead of planar (2D) space like we do.

This game is a collection of mini-games and tools that allows player to interact with 4D Polytopes also known as Polychorons, which are 4D analogs of polyhedra such as cube.

There are currently 2 mini-games and 1 tool available, with one additional new mini-game planned to be added before release out of Early Access.

Ring Logic is a color matcher game based on 3D manifold of a 4D polychoron. Each cell of a polychoron is assigned a color. Player can shift cells along the Great Rings of a polychoron to create connected groups of cells of the same color that disappear when enough are connected. Goal of the game is to clear the initially near-full board. Another mode is planned where prolonged playing is facilitated by spawning more cells during gameplay.

Magic Manycell is a puzzle game inspired by Magic Cube. Just like a cube that has 6 square faces, each of which is split into 3x3 smaller squares, in 4D a tesseract has 8 cubic cells, each of which is split into 2^3 or 3^3 smaller cubic cells. Then, in Magic Cube, player can rotate 3x3x1 slice of the cube around single axis; in 4D, player can rotate 3x3x3x1 slice, but unlike Magic Cube, there are more than 1 ways to rotate this slice.

Besides the "hard" mode of Tesseract-based Magic Manycell where player can only rotate the 3x3x3 cube cell together with other cubes connected via 4D by common faces, there is a much easier mode available where each cell's cubes can be rearranged independently of their 4D neighbors - this is called Independent mode.

Currently 3 different Polychorons are supported for Magic Manycell game - Tesseract with cells divided into 8 cubes (2x2x2), Tesseract with cells divided into 27 cubes (3x3x3) and a 16-cell which has its cells intact but still can be split in 2 halves to be rotated against each other so it feels like a natural fit for this game. More figures may be added in the future.

In addition to these two mini-games, Polychoron Explorer naturally includes Explorer mode.

This exploration sandbox was created to observe convex polychorons without any gameplay goals. To better understand their geometry, players can assign colors to cells or hide them. It's also possible to explore 3D scan of a polychoron instead of its 3D projection.

Besides all of the regular polychorons (5-cell, 8-cell, 16-cell, 24-cell, 120-cell and 600-cell), it is possible to create new convex polychorons to explore using Scan feature which allows to cut scanned polychoron in 2 parts and then select any of the parts for exploration.

Another mini-game planned to be added to this package is not specifically related to polychorons - it's going to be about 4D space navigation.