The New Sudoku Players' Forum

[1to9only]

I've revisited the Sixy sudokus posted some time ago, to find out if bigger (greater than 6x6) sudokus are possible, i.e. have both NxM and MxN rectangular blocks.
I've created some, and called them Sexy sudokus!!

Rule: Numbers 1-n in Blocks NxM (shaded white and light blue), Blocks MxN (black outlined), Columns and Rows.

6x6

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.2.....6..3....5....5....3..1.....2. SEXY-6x6  8 ED=2.9/1.5/1.5


Sixy Sudokus: thread. Sixy Solver: post. Sixy Explainer: thread.

8x8

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.6...4..4.1.2.......5..3......7..2......7..4.......7.8.6..5...1. SEXY-8x8 16 ED=3.2/1.2/1.2


12x12

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.E........IJA...IL.....E...J.HC.......K...........CD.......H.BF.......A..D.......LB.H.......AJ...........K.......KH.G...J.....AI...BFL........J. SEXY-12x12 34 ED=3.0/1.2/1.2


15x15

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.M...C..J.A..H.....A...OM.IJ.LG.......A...E....FL.I.....H.C....E...M..F.NI.K.I........O.E....C.F.H..J.....F...JB.LK...D.....B..O.N.F....E.H........F.A.DN.J..B...K....K.A.....J.EC....H...C.......GL.BN.MO...H.....J..C.F..G...O. SEXY-15x15 70 ED=3.0/1.2/1.2


[urhegyi]

I tried thisone:

The trick is a x-wing(R2C2<>3;R8C25<>3) so that the 3's are locked at R4C1 or R4C2 and R4C3<>3.
The first digit found after basics:R4C3=4.
Like to see more of them(8X8).

[1to9only]

I generated a number of the SEXY-8x8s, and posted one of the low numbered clues.
I can post a few more in one-line format as below. Is this OK? Pencilmarks?
E.g. the only one 14C singles only:

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...5.........1.734...........2.86.4...........852.7.........3... SEXY-8x8 14 ED=1.2/1.2/1.2


[coloin]

I had to double look at these sixy sudokus .... and had to check back ......

in the normal 2x3 / 6x6 case, the minimum clues is 8
but in the sexy 6x6 there will be fewer total grids and indeed this 7C is published

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....2..4...5..1.........63.........3

I wonder if this is the minimum !!!

EDIT - by pm

7C was the minimum.
I did an exhaustive check of 5 and 6 digit 6C puzzles, and nothing popped out.

[1to9only]

6x6-X
Is not possible. Probably applicable here is the same 'boring manual proof of non existence' by 999_Springs at the bottom of this post to show that Classic 6x6-DG-X is not possible.

Rule: Numbers 1-n in Blocks NxM (shaded white and light blue), Blocks MxN (black outlined), Columns, Rows and the 2 Diagonals.

8x8-X

Code: Select all

..2.5..............1....5.7....12....5.6....4..............7.8.. SEXY-8x8-X 12 ED=3.2/1.2/1.2


For the bigger sizes, double-click on link to view image, or right-click on link to save image.

12x12-X
Lowest rated puzzle I generated, all others are >= ED=6.6
https://github.com/1to9only/Downloads/raw/master/SEXY-12x12-X.28.ED=2.0.png
ED=2.0/1.2/1.2

15x15-X
Lowest rated (non-minimal) puzzle generated, all others are >= ED=6.5
https://github.com/1to9only/Downloads/raw/master/SEXY-15x15-X.59.ED=2.9.png
ED=2.9/1.2/1.2

[mith]

Here's a (hard) 10x10-X: https://f-puzzles.com/?id=22zq5ycu

[1to9only]

(hard) 10x10-X

Very nicely SEXILY symmetric sudoku, ED=8.5/1.2/1.2.
Thks. Had to build the 10x10 SE for it!!

Edit:
ED=8.4 is about the highest rated possible for standard 6x6, and probably same for sexy 6x6.
For sexy 8x8, I've noting higher than ED=8.5. 8x8-X can get higher, in the ED=9.x - I have one ED=9.8 and another ED=9.9. No 10s.
Sexy 12x12 gets in the ED=9.x. About same for the 12x12-X, and some just into ED=10s, highest is ED=10.2.
I've not many sexy 15x15, and no sexy 15x15-X. Takes too long...

[mith]

Here's a pretty 15x15: https://f-puzzles.com/?id=2czxta4l
And a (harder, I think?) 15x15-X with the same pattern: https://f-puzzles.com/?id=22exrgel
(neither is minimal)