# Problem Type Examples

The program is written to be completely general so the following list of templates is only indicative of the types of problem that can be solved. See also the gallery of template images and some 3 dimensional Tredoku templates.

# Sudoku 9X9

 Sudoku 9X9 This is the regular 9X9 problem that appears in many books and newspapers. Each character must apppear exactly once in each row, column and 3X3 box.

# Sudoku 9X9X

 Sudoku 9X9X As regular 9 by 9 but must also have unique characters in each diagonal, highlighted.

# Jigsaw

Jigsaw

As regular 9 by 9 but the normal 3X3 boxes are irregular shapes

# Film

 Film Similar to the regular 9 by 9 Sudoku but the squares have lumps in the top and bottom. The problem wraps top to bottom but not side to side so the overall geometry is a cylinder.

# Fishnet

 Fishnet This is like a regular 9 by 9 Sudoku with holes in it.

# Diamond

 Diamond Here the shapes are pushed over to become diamonds. This wraps side to side but not top to bottom.

# Toroid H

 Toroid H The normal 3X3 boxes are replaced by horizontal stripes (helices) which wrap around the problem. These stripes join the left side to the right side and the top to the bottom so that the overall geometry is a doughnut (torus).

# Toroid V

 Toroid V The normal 3X3 boxes are replaced by vertical stripes (helices) which wrap around the problem. These stripes join the left side to the right side and the top to the bottom so that the overall geometry is a doughnut (torus).

# Backslash

 Backslash Must have unique characters in each row and column but the 3 by 3 boxes are replaced by backslashes. These wrap left to right and top to bottom so the overall geometry is a doughnut (torus)

# People

 People The shapes have “lumps” on each side to become quite irregular. They look to me like little people. This problem wraps top to bottom and side to side so the overall geometry is like a doughnut (torus).

# Samurai

 Samurai Effectively 5 intersecting 9 by 9 Sudoku problems which must all be solved at the same time. Usually not particularly difficult problems but time consuming

# 3D 3X3 Cube

 3D 3X3 Cube True 3 dimensional problem, albeit a very simple one. Each 3X3 square is one plane of a 3X3X3 cube. Consider the squares stacked on top of each other. There are 9 planes in this problem each of which is a 3X3 square which must have no repeating characters. A couple of the planes are highlighted in colour.

# 3D 4X4 Cube

 3D 4X4 Cube True 3 dimensional problem. Each 4X4 square is one plane of a 4X4X4 cube. Consider the squares stacked on top of each other. There are 12 planes in this problem each of which is a 4X4 square which must have no repeating characters. Some of the planes are highlighted. There are 16 possible characters so I use a standard hexadecimal character set: 0,1,2,…,9,a,…,f.

# 4X4 Cube

 4X4 Cube Strictly a 2 dimensional problem since only considering the outside faces which are laid out onto a plane. There are 16 Characters which cannot repeat in any band or face. 3 of the bands are highlighted. There are 12 bands and 6 faces, each with 16 Cells. There are 16 possible characters so I use a standard hexadecimal character set: 0,1,2,…,9,a,…,f.