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I present you with a new kind of Hidoku puzzle, the grid has the shape of a metallic donut (in fact this is an octagon) and the cells are rectangular. The goal is to make a path that passes in every cell from the cell number 1 up to the last cell (the first and last cell are grayed). Some cells are already numbered then it is up to you to find the missing numbers of the other cells. The second puzzle is made of two octagons. (Hidoku's Rules).
1) The first one.
Puzzle : hipen_5_33_00005.pdf
Solution : hipen_5_33_00005_sol.pdf
2) The second one with a double grid.
Puzzle : hipen_6_64_00007.pdf
Solution : hipen_6_64_00007_sol.pdf
Have a great day !
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The previous Hidoku puzzle published on Innoludic used either 4-sided of 6 sided cells, now I will introduce you puzzles with 3-sided cells. In fact my new puzzles have a mix of quadrilateral and triangular cells in order to have a more attractive visual effect.
Your goal is to find a path starting with the first cell up to the last cell (grayed cells) by visiting each cell. Some cells (with the numbers) indicate the order of the cell in the path. Please remind that the path goes from one cell to any cells that touch one of the corner of the initial cell and so on up to last cell. A triangular cell can reach 9 cells and a square cell can reach 12 cells.
Now the Hidaku puzzle gas no more secret for you. (Hidoku's Rules).
1) The first one.
Puzzle : hipen_8_38_00001.pdf
Solution : hipen_8_38_00001_sol.pdf
2) The second one with a double grid.
Puzzle : hipen_9_60_00005.pdf
Solution : hipen_6_60_00005_sol.pdf
Have a great day !
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I continu to explore with the Hidoku puzzle. Now I try a penrose grid with as a cells: diamonds with the pecularites of the penrose tiling. So I present you first a puzzle with a simple grid and secondly a puzzle with a double grid. Do no forget from a cell you can acces any cells that corner touch one of the corner of the inital cell. In each puzzle the first and last cell are grayed. (Hidoku's Rules).
Puzzle : hipen_1__15_00001.pdf
Solution : hipen_1__15_00001_sol.pdf
The second one with a double grid.
Puzzle : hipen_2_25_00001.pdf
Solution : hipen_2_25_0001_sol.pdf
Have a great day !
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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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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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