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I said in a previous article that the Hidoku puzzle is very flexible ( Hidoku # 3). I told you also that the form of the cells could affect how we move from onr cell to another. This week I propose you a grid with diamonds of different shape. As I told you the best way to find which cells you could go from one cell (the initial cell) is to look which cells the corners of the initial cell touch. When a cell is a square or a pentagon we know the principle. But when a cell is a diamond then a corner of cell with a sharp angle could touch many more cells ( the maximum of cells a corner of a square cell can touch is 3 other cells). So I propose you a grid with a shape of a donut made of many diamonds ( I have found this interesting geometric form on the web, I have tought that it could form an interesting grid for a Hidoku) . For this grid you start form the number one up to 30 (the grey cells). When we have only one donut the maximun cells that the corner of a cell could touch is 3. (Notice that in the middle- the hexagon- you could could travel from one cell to the opposite cell, it adds more possibility). For the second puzzle I have gathered three donuts together, then when two donut are adjacent then the maximum number of cell that a corner of one cell could touch is 5 (look at the cell number 1, the left corner). For the last puzzle you have to find a path from 1 to 90. (Hidoku's Rules).
Puzzle : hirum_1_06859.pdf
Solution : hirum_1_06859_sol.pdf
The second one with three donuts.
Puzzle : hirum_1_06370.pdf
Solution : hirum_1_06370_sol.pdf
Have a great day !
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No comments- Details
As I explained recently, the Hidoku puzzle (Hidoku's Rules) is very versatile, the grid could take many shapes, like square Hidoku # 1 or even drawing forms likes Hidoku # 2. But another aspect that can be modified is the shape of the cells. In the last described puzzles all the cells are square. But nothing prevent us to modify this, by example we could have hexagonal cells (six sides). When the shape of the cells are modified then this could impact how go from on cell to another one to find the path. By example with a conventional square grid with square cells (showed in the next figure). It is agreed that a move from a cell can go horizontaly, verticaly or diagonaly of only one step.

So from the blue cell we can reach the 8 red cells.

But we can generalize that we could move from one cell (the starting cell) to any other cells that touch one corner of the starting cell. And we can apply this rule to any shape of cell (instead of saying to move horizontaly, verticaly, etc). Like for the octogonal cell. The following figure illustrates a portion of a grid with hexagonal cells. From the blue cell, with this rule (going to cell that touch a corner of the starting cell),
we are able to reach any of the six red cells. Notice that with hexagonal cells we are able to reach at most 6 cells instead of 8 for the square cells. All this is related to the specic geometry of the cells. A corner of a square is able to touch three cells and a corner of an hexagonal cell is able to touch two cells only.

Then just to tease you I present you three Hexagonal Hidoku puzzles. Try to find the path strating from the cell 1 and finishing with other cell having a circle.
1)
The printable files PDF
Puzzle: hido_1_6x6_16_00004.pdf
Solution: hixa_1_6x6_16_00004_sol.pdf
2)
The printable files PDF
Puzzle: hixa_1_6x6_14_00005.pdf
Solution: hixa_1_6x6_14_00005_sol.pdf
3)
The printable files PDF
Puzzle: hixa_1_7x7_20_00009.pdf
Solution: hxa_1_7x7_00009_sol.pdf
Enjoy !
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Recently I have introduced the Hidoku puzzle (Hidoku's Rules), I mentionned that this puzzle allows, for a creator, a lot of liberty. Usually this puzzle is often presented in a square grid with square cells. Because of the particularity of this puzzle it is easier to modify the shape of this puzzle, contrary to a puzzle like a Sudoku which requires to follow specific rules like having rows, columns and regions having the same size, the Hidoku could have any number of cell and the only constrain to follow is that you can relied all the cells from the first cell up to the last one.
So we can create puzzle to have of any shape and also with grids having holes inside .
I present you three different variations. Remember you have to make a path from the circle cell having the number 1 up to the last cell (inside a circle) by hoping one cell by cell (horizontaly, verticaly or diagonaly).
1)
The printable files PDF
Puzzle: hido_fa02_12x12_00315.pdf
Solution: hido_fa02_12x12_00315_sol.pdf
2)
The printable files PDF
Puzzle: hido_fa05_12x12_00315.pdf
Solution: hido_fa02_12x12_00212_sol.pdf
3)
The printable files PDF
Puzzle: hido_fa08_12x12_00019.pdf
Solution: hido_fa08_12x12_00019_sol.pdf
Enjoy !
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I'm introducing a new game called Hidato, in fact I started making it in 2008, but this is the first time I'm introducing it. I dusted it off in the last few months and I realized that it could be very versatile in its form and its functioning. So I present it to you today in its usual form. For the other variations, it will be later. Here is a Hidoku and its solution.

The rules are simple: In a grid there is a path that passes through each cell and this one cell at a time either horizontally, vertically or diagonally. The grid shows some scells where the path passes. The goal is to reconstruct the path by numbering each cell in the order of the path. The first cell (the 1) and the last cell are identified by a circle. See Hidoku's Rules where I solve a puzzle.
Patience, observation skills and logic are needed to get through it. Exactly what my readers have! I present you 5 games. The bigger they are the more difficult they are. This will give you an idea of the variety of this game.
1)
The printable files PDF
Puzzle: hido_5X5_00004.pdf
Solution: hido_5X5_00004_sol.pdf
2)
The printable files PDF
Puzzle:
Puzzle: hido_5X5_00005.pdf
Solution: hido_5X5_00005_sol.pdf
3)
The printable files PDF
Puzzle:
Puzzle: hido_6X6_00007.pdf
Solution: hido_6X6_00007_sol.pdf
4)
The printable files PDF
Puzzle:
Puzzle: hido_8X8_00011.pdf
Solution: hido_8X8_00011_sol.pdf
5)
The printable files PDF
Puzzle:
Puzzle: hido_10X10_00001.pdf
Solution: hido_10_10_00001_sol.pdf
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