3D-Sudoku (German Sudoku Championship 2006)

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Is this suitable for a Sudoku competition?

Yes
3
33%
Maybe
1
11%
No
5
56%
 
Total votes: 9

berni
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3D-Sudoku (German Sudoku Championship 2006)

Post by berni » Mon 07 Jan, 2019 1:16 pm

Rules: Place numbers 1 to 16 in the cells. All numbers in all plaines (in all three directions) have to be different.
A3D.png
A3D.png (62.21 KiB) Viewed 1634 times
Published with permission from Heines Rätselbibliothek.

Possible objections: It's 3D, instead of areas a 3rd dimension is added.

Realshaggy
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Re: 3D-Sudoku (German Sudoku Championship 2006)

Post by Realshaggy » Mon 07 Jan, 2019 9:17 pm

One might argue, that the number of regions is pretty low (or in other words the number of symbols very high). Here we have 12 regions in a 64 cell puzzle. An 8x8-latin square already has 16.

detuned
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Re: 3D-Sudoku (German Sudoku Championship 2006)

Post by detuned » Mon 07 Jan, 2019 11:02 pm

Yes that's a nice way of thinking about it. I'm admittedly a little tired right now, but my initial thought was that you don't really have rows and columns in this puzzle in the same way as what we are normally used to. Another way of looking at it is that rows/columns usually intersect several different regions, whereas here the rows and columns that I can see are entirely self-contained within regions, and don't have the full complement of 1-16

Fred76
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Re: 3D-Sudoku (German Sudoku Championship 2006)

Post by Fred76 » Mon 07 Jan, 2019 11:46 pm

detuned wrote:
Mon 07 Jan, 2019 11:02 pm
Yes that's a nice way of thinking about it. I'm admittedly a little tired right now, but my initial thought was that you don't really have rows and columns in this puzzle in the same way as what we are normally used to. Another way of looking at it is that rows/columns usually intersect several different regions, whereas here the rows and columns that I can see are entirely self-contained within regions, and don't have the full complement of 1-16
I think you haven't got the rules. I think rows and columns cross the 4 floors and contain numbers 1-16 just like regions.
In my opinion it's a sudoku. It makes me think about sudokurve, it's a bit similar although rows are not curved.

Fred

detuned
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Re: 3D-Sudoku (German Sudoku Championship 2006)

Post by detuned » Tue 08 Jan, 2019 8:40 am

I'm not sure I agree. The rules describe those constraints as planes, and to me they feel much more like "regions" than they do rows or columns, and I think RealShaggy's point starts to capture why.

Fred76
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Re: 3D-Sudoku (German Sudoku Championship 2006)

Post by Fred76 » Tue 08 Jan, 2019 10:10 am

detuned wrote:
Tue 08 Jan, 2019 8:40 am
I'm not sure I agree. The rules describe those constraints as planes, and to me they feel much more like "regions" than they do rows or columns, and I think RealShaggy's point starts to capture why.
Ah sorry, I didn't get what you said before. I understand now.
For this case, I would be interested to know if the answer "no" to the question "Is this suitable for a Sudoku competition?" is "no, because it's not a sudoku", or "no, this sudoku is not suitable for a competition".

Fred

detuned
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Re: 3D-Sudoku (German Sudoku Championship 2006)

Post by detuned » Tue 08 Jan, 2019 12:22 pm

Maybe one way of looking at it is that, usually, when you take the intersection of one row/column with another row/column, then you end up with at most one cell. This breaks down slightly when we consider things like Parquet and Sudokurve, as you've mentioned. Something new to think about then!

Fred76
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Re: 3D-Sudoku (German Sudoku Championship 2006)

Post by Fred76 » Tue 08 Jan, 2019 6:09 pm

detuned wrote:
Tue 08 Jan, 2019 12:22 pm
This breaks down slightly when we consider things like Parquet and Sudokurve,
and tight fit sudoku.

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