People seemed to enjoy my last Sudoku variant puzzle - Samurai Pseudoku, so I spent this week making another! This one is going to require using logic you've never used before...
The last one was a little plain, don't you think? After all, it was just a flat puzzle, only a couple of variants and don't even get me started on the colour scheme...
So this time, this is Sudoku in the third dimension! But wait, I just hit you with a double meaning; not only is this puzzle 3D, it has 3 different dimensions to it, in the form of 3 different Sudoku variants: 3D, Vudoku and 147.
The rules will be explained under the grid, if any clarifications are needed please just ask in the comments!
Oh.... and I forgot to mention. The last puzzle had way too many digits, so this time I'm only giving you one digit:
$$\huge\text{3D VUDOKU } \huge{\times} \huge\text{ 147}$$
RULES:
3D:
- Each box obeys normal Sudoku rules.
- On top of this, every 9 cell path from an edge must contain each of the digits $1$-$9$ once (normal sudoku). As a result, each cell is part of two paths, and one box.
- A path starts from the edge and ends at a thick black line.
- Paths look like the following:
Vudoku:
- The purple arrowheads connect three cells together. The middle cell is either the sum or the difference of the two outer cells.
- For example, looking at the top-left arrowhead on the puzzle, if there was a 2 in the bottom left of the box, and a 5 in the middle, the middle left cell could be either a 3 or a 7.
- Towards the centre you may notice there is a shape that looks like an elongated '$\color{purple}{\text{]}}$'. This should be treated as two separate arrowheads, one pointing North-East, and one pointing South-East.
147:
- A cell containing a $\color{#8F9}{\text{1, 2 or 3 is green}}$, a cell containing a $\color{#89F}{\text{4, 5 or 6 is blue}}$ and a cell containing a $\color{#F88}{\text{7, 8 or 9 is red}}$.
- Blank cells can be any as long as they abide by previous rules.
There is a single solution that can be deduced logically with no guesses.
A solution will be accepted with:
- A complete grid
- At least a little bit of explanation (preferably with some images) e.g. where you started, route you took etc.
- If possible, the time it took you to solve! (This is once again just for my personal interest)
The previous puzzle was probably too large and as a result became tedious towards the end, so this is a bit smaller. This is still a very hard puzzle however, and it's going to require some different ways of thinking.
Good luck and enjoy!