Lada 🏡 Prkic

prije 1 godinu · 5 minuta. vrijeme za čitanje · ~100 ·

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Do You Play Number Games?

Do You Play Number Games?

3MNIs.jpeg
Two ways of completing the grid.

Variations of Sudoku

There are many variations of Sudoku. Some of the variants have additional constraints that complicate solutions significantly. I use to play two of them, Killer Sudoku and KenKen.

  • Killer Sudoku 

This variant adds a new dimension to classic Sudoku. The grid consists of areas (cages) that are outlined with grey or dotted lines. There are no starting clues! Instead, a total of each area is given. Numbers inside an area, when added together, should make a number shown in the upper left corner of that area. All the rules of the normal Sudoku apply - each number appears exactly once in every row, column, box and cage. It is really brain teasing because more than one combination of numbers gives the required total value. 

Below is one of the world's hardest Killer Sudoku. You can try to solve it here

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Source: https://www.conceptispuzzles.com/
  • KenKen

KenKen is a sophisticated arithmetic and logic puzzle invented by a Japanese mathematics teacher in 2004. He developed a brain-stimulating exercise with the main goal to improve student's math and logic skills. KenKen is similar to Killer Sudoku but with additional constraints - operations. The target numbers in the top corner of each heavily outlined area (cages) are produced by using the mathematical operation indicated behind the numbers (+, -, ×, ÷). 

I find KenKen more challenging than classic Sudoku. It is a great exercise for practising mental arithmetic. The difficulty level increases depending on the size of a grid. The hardest KenKen puzzles are Black Belt KenKen. 

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An example of 7x7 KenKen puzzle with solution (Source: New York Times)

 

Worldwide Sudoku Championship

World Sudoku Championships are held annually since 2006. The very first competition was held in Lucca, Italy, in 2006. The most successful winner is from Japan, having won the title four times. Also, Japan is the most successful team. 

World's Hardest Sudoku Puzzles 

Arto Inkala is a Finnish mathematician (doctor of science in the field of applied mathematics). He is also a passionate puzzle creator who created some of the world's most difficult and challenging Sudoku puzzles:  ‘AI Escargot’ in 2006, and ‘the thing Everest’ in 2012.

The Miracle Killer Sudoku is an extremely hard puzzle created by Philip Newman. It seems unsolvable because only 18 cells are covered by cages. Sudoku fans proclaimed the puzzle one of the most incredible ‘sudokus’ of all time. If you want to try to solve it, here is a link to the puzzle. If you need hints for solving, here is a link to the video on the most popular YouTube's sudoku channel, in which the solution is explained in detail.

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Miracle Sudoku (Source: White Room by Philip Newman)

But the hardest puzzles are created by computer programming. There were much larger puzzles with 16 × 16 or even 25 × 25 grids and a three-dimensional version in the form of a cube.

***

There are many more interesting facts about Sudoku and its variants. Sudoku is fun and fascinating and the most popular logic game in the world. The fact that many mathematicians are fascinating by Sudoku explains a lot about this puzzle and the sophisticated mathematics behind it. 

Is it addictive? Yes! But as with many things in our life, moderation should be practised. 

I leave you with a paraphrase of the well-known saying:

One or two Sudoku a day keeps the doctor away. 

And what about you? Do you play number games? 

 

Title Image: Sudoku GIF, Source: Wikimedia Commons

Komentari

Paul Walters

prije 1 godinu #19

Always knew you were a clever one Ms Prkic

Pascal Derrien

prije 1 godinu #18

Lada 🏡 Prkic

prije 1 godinu #17

Pascal Derrien

prije 1 godinu #16

I admire people who are passionate by those games but I am not one of them I like triominos though 

Lada 🏡 Prkic

prije 1 godinu #15

Lada 🏡 Prkic

prije 1 godinu #14

Lada 🏡 Prkic

prije 1 godinu #13

Lada 🏡 Prkic

prije 1 godinu #12

Ken Boddie

prije 1 godinu #11

Neil Smith

prije 1 godinu #10

Crosswords (straight and cryptic) along with Sudoku, logic puzzles and killer are my puzzles of choice. 

Jerry Fletcher

prije 1 godinu #9

Lada, Thank you for a post that makes me understand why I find these puzzles so fascinating. I''ve not seen the variations you discuss and I will definitely have to employ the walk away technique when I try them. (I have to do that on the regular Sodukus now). 🙃

Franci 🐝Eugenia Hoffman

prije 1 godinu #8

My hubby is a Sudoku fan. I prefer crossword puzzles and word games, which I play daily on a game site. I also like Mahjong games. 

Lada 🏡 Prkic

prije 1 godinu #7

Lada 🏡 Prkic

prije 1 godinu #6

Lada 🏡 Prkic

prije 1 godinu #5

I am not tired yet, Zac. :) There are so many challenging variants that still keep my interest in this puzzle. 

Farooq Omar

prije 1 godinu #4

Superb share dear Lada, surely, it is challenging and interesting to play for fun and mental challenge. Kudos👍

Ken Boddie

prije 1 godinu #3

I can’t say I’ve ever had any fascination with Sudoku, Lada, and didn’t realise it was so popular until reading your post. I keep my mind active, when not juggling procedures manual improvements and updates, with crossword puzzles and other word games. I keep physically active with brisk walks and various exercise routines, which brings me to ask you how you’re going with Tai Chi and Qigong?

Zacharias 🐝 Voulgaris

prije 1 godinu #2

Used to but I eventually got tired of it. Now I play more interesting games that require both logic and imagination (e.g. Make7, SeaBattle, and Inter-dimensional Pursuit). I agree though that it's a great game and can help keep your brain in shape! Cheers

Lada 🏡 Prkic

prije 1 godinu #1

@Javier 🐝 CR, why the title image GIF is not active when seeing on my wall? The GIF becomes active when I open the article. 

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