## Skyscraper variants

For fans of Killer Sudoku, Samurai Sudoku and other variants
Sum Box Skyscraper Sudoku

There are 6 boxes with a plus or minus sign where the sum or difference of the number formed by the first two rows is equal to the number formed in the third row of the same box.

Pyrrhon

Posts: 240
Joined: 26 April 2006

Pyrrhon, in your disallowed skyscraper sudoku, the 6's and sevens in R456C358 dont resolve. It's just a matter of adding a not 4 to the right of row 5. Great puzzles!

~Squirrel
Squirrel

Posts: 11
Joined: 25 September 2006

Thank you, I've corrected it. Here is another vairant:

Sum Search Skyscraper Killer

The sum of the digits within each cage is equal to each other. In cages there can't be the same digit repeated.

Pyrrhon

Posts: 240
Joined: 26 April 2006

Now KiMo variants modulo 2, 7 and 10.

Even Odd Killer Skyscraper

The coloured points tell you whether the sum in the marked cages is odd (yellow point) or even (green point). In cages there can't be the same digit repeated.

KiMo 7 Skyscraper

The digits in marked cages have always a sum that is a multiple of 7 (i. e. 7, 14, 21, 28, 35 or 42). In cages there can't be the same digit repeated.

KiMo Skyscraper

The digits in marked cages are the last digit of the sum of the digits in the cage. In cages there can't be the same digit repeated.

Pyrrhon

Posts: 240
Joined: 26 April 2006

Tricky Skyscraper

Each row and column 3x3-box will have exactly one of each digit. Each 3x3 box contain 3 digits once, 3 digits twice and 3 digits doesn't occur.

Pyrrhon

Posts: 240
Joined: 26 April 2006

I believe the correct rule should be:

Tricky Skyscraper

Each row and column has exactly one of each digit. Each 3x3 box contains 3 digits once, 3 digits twice and 3 digits missing.
udosuk

Posts: 2698
Joined: 17 July 2005

Thank you, english isn't my parents language.

Pyrrhon
Pyrrhon

Posts: 240
Joined: 26 April 2006

Odd X Zero Killer Skyscraper

The numbers in the cells tell you the sum of the marked cages. The cells on both diagonals have odd digits. In cages there can't be the same digit repeated.

Pyrrhon

Posts: 240
Joined: 26 April 2006

There was a mistake in the last puzzle. I have corrected the mistake now. Please excuse me, if you can.

Pyrrhon
Pyrrhon

Posts: 240
Joined: 26 April 2006

Using the main idea of figure sudoku we get also the following variant:

Zero Figure Skyscraper Sudoku

In the blue areas is always the same set of digits (possibly in different order).

Pyrrhon

Posts: 240
Joined: 26 April 2006

And here now an example that is nearer to the original variant:

Figure Skyscraper Sudoku

All occurrences of each shape outlined in black (rotated and/or mirrored) must contain the same set of digits (possibly in different orders). None shape contains a repeated digit.

Pyrrhon

Posts: 240
Joined: 26 April 2006

H3lix made with his smash sudoku some proposals for variant constraints.
I made for the moment two puzzle with the wheel constraint. Here is that one that is a skyscraper variant.

Wheel Skyscraper Sudoku

The wheels in the grid contain each 4 values. These values will go in the cells the numbers are in. Doing this the wheels must be rotatated to the right position. (Not mirrored or changed the order of the digits.)

Pyrrhon

Posts: 240
Joined: 26 April 2006

Now another variant. On the 2nd Sudoku World Championship there were two sudoku variants called No touch and Untochable Sudoku. I like to combine this idea with the skyscraper rules.

Touchless Skyscraper Sudoku

The same digits can not touch each other diagonally.

Pyrrhon

Posts: 240
Joined: 26 April 2006

Disallowed 3 Skyscraper Windoku

Cells of the same color have exactly one of each digit. There are no neighbouring cells with a difference of 3.

Pyrrhon

Posts: 240
Joined: 26 April 2006

This variant is a combination of line sudoku and skyscraper. Line sudoku is a kind of equality killer like sum search sudoku, neighbouring sudoku, equal killer ... It is the sudoku variant of Line Magic. (Line Magic was probably invented by Oleg Andrushko).

Line Skyscraper Sudoku

The sum of two cells with a bold line between them is always the same, the so called magic number.

Pyrrhon

Posts: 240
Joined: 26 April 2006

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