Maze Tesseract

Maze Tesseract is a true 4-dimensional Maze Game; a logic and spatial challenge played in a 4D hypercube tesseract. It contains 1200 mazes. You see your location in the Maze Tesseract on two 2-dimensional orthographic projections of the 4D hypercube. The fourth dimension is now color-coded.

Maze Tesseract (full version) Version 5.3

Copyright(c) 2009, 2010, 2011, 2012, 2013 by Peter B. Kramer. All rights reserved.
Developed by Kramer&Kramer Software

* 1200 mazes
* Easy 2x2x2x2 mazes to very hard 7x7x7x7 mazes
* Touch and drag to move - fast smooth action
* Fourth dimension color-coded
* Breadcrumb markers
* Show Best Move feature
* Show Portals feature
* Time and Moves indicators
* Sound on moving
* Walls can become porous to explore the Tesseract

You start at one corner on the top level of a Maze Tesseract (the green Start location in the Graphic) and you have to move to the opposite corner on the bottom level of the Maze Tesseract (the light blue Finish location in the Graphic). You will see your Current Position in the Maze Tesseract (the blue location in the Graphic), and the walls of the Maze Tesseract, but you cant see all of the locations in the Maze Tesseract at one time. Instead, you will only see two 2-dimensional slices through the 4-dimensional Maze Tesseract.

What is a tesseract? It is a 4-dimensional hypercube. As a square is to a line, or as a cube is to a square, a tesseract is to a cube. A position within a tesseract can be described by showing its location along the 4 different dimensions of the tesseract. This location can be displayed on a 2-dimensional screen by projecting the tesseract into two orthogonal 2-dimensional slices, a multi-dimensional ‘orthographic projection’, just as a position in a cube can be displayed by projecting the cube into a horizontal slice and a vertical column. The tesseract itself can be imagined to be a cube that changes with a fourth dimension. That fourth dimension might be considered ‘color’ as indicated in the Graphic. The source of each dimension’s orthographic projection can be seen in the Maze Tesseract in the Graphic by following each of the blue lines from the two 2-dimensional orthographic representation of the tesseract back to the multiple colored cubes that represent the 4-dimensional Maze Tesseract. Alternatively, the 4 dimensions of the two 2-dimensional squares on the iPhone display can be considered independent orthogonal dimensions of an abstract 4-dimensional hypercube.

Maze Tesseracts can have from 2 to 7 tesseracts on each edge and can have one of two difficulty levels, Standard or Complex. There are 100 mazes of each size and difficulty level, a total of 1200 mazes.

Screen shots below show:
1) The graphic depiction of a Maze Tesseract and the two 2-dimensional orthographic projections of that Maze Tesseract as described above.
2) A 4x4x4x4 maze with the Marker in the Start location with 12 moves to Finish. The breadcrumbs (not usually displayed) indicate a path forward – along the fourth dimension to the red and then the orange level and then down the third dimension to the third level.
3) A 7x7x7x7 maze with 7 moves to Finish. The Marker has advanced to the green level.
4) A 3x3x3x3 maze showing the open portals available in all displayed locations. The Marker is on the red level. It could advance to the orange level however there are no open portals in that location. It could also advance one along the first dimension and one along the second dimension. From that location the display indicates there is an open portal to the orange level. Since there are only 4 moves to Finish, from that location on the orange level there will be a portal to Finish.
5) The Select Maze screen used to select from the 1200 mazes.