The Doppler Effect: Another sudoku of crazy brilliance

** TODAY'S PUZZLE **
Knickolas specialises in sudokus that are memorable and world-class. This latest, Doppler Effect, joins a stable of puzzles that have few peers. This one forces Simon to think in new ways - we'll be interested to hear whether there are any mathematical theorems out there that would help!

Have a go at the puzzle here:
https://sudokupad.app/F9fHgrQqQF

Rules:
Normal sudoku rules apply. The grid contains two “galaxies”. A galaxy is a collection of orthogonally-connected cells which exhibit 180 degree rotational symmetry around the central cell of the grid. Eg If r2c4 is in a galaxy then r8c6 must also be in that galaxy. All cells must be part of a galaxy and the two galaxies may only ever overlap in one cell - the central cell of the grid. No 2x2 area may be fully part of one galaxy. One of the galaxies is “redshifted” and cells in it have a value of one greater than their digit. The other galaxy is “blueshifted” and cells in it have a value of one less than their digit. Values along an arrow sum to the value in that arrow’s circle. Values in a cage sum to the given total. Digits may not repeat in a cage, but values may.

** HEXCELLS STREAM **
Check out our latest Hexcells stream here:
https://youtube.com/live/UGb0KneGqBQ?...

** JUST RELEASED!!! **
A brand new sudoku hunt from Riffclown for our February competition! Get it here for just $2:

  / crackingthecryptic  

Other bonuses on Patreon currently include:

Simon's 2.5 hour solve of Roller Coaster Nurikabe
Mark's latest solve of The Times Club Monthly Special Crossword

** KICKSTARTER - DELIVERED 24 December 2023 **
Our Kickstarter has finished and we've created the finished novella/puzzle collection for you. It was delivered on Christmas Eve so check your inboxes!

https://www.kickstarter.com/projects/...

** ORDER OUR NEW BOOK AT THIS LINK **

If you would like to get hold of a physical copy of our new book, Cracking The Cryptic's Greatest Hits - Volume 2, there is still a chance. Visit the link below:

https://bean-games.pledgemanager.com/...

▶ SUDOKU PAD - Use Our Software For Your Puzzles ◀

You can input classic sudoku puzzles into our software and help support Sven, the programmer responsible for the wonderful user interface we all use to play these puzzles everyday. The app also comes with 12 handmade puzzles from us:

iOS:
https://apps.apple.com/us/app/svens-s...

Steam: https://store.steampowered.com/app/17...
Android:

https://play.google.com/store/apps/de...

ALSO on Amazon: Search for “SudokuPad”

▶ Contents Of This Video ◀

0:00 Theme music & Puzzle intro
1:28 The Zippersnake Poem
3:22 Qodec's Line Sudoku puzzle
5:05 Riffclown's new sudoku hunt
5:38 Happy Birthday
6:09 Rules
10:10 Start of Solve: Let's Get Cracking

▶ Contact Us ◀

Twitter: @Cracking The Cryptic
email: [email protected]

Our PO Box address:

Simon Anthony & Mark Goodliffe
Box 102
56 Gloucester Road
London
SW7 4UB

(Please note to use our real names rather than 'Cracking The Cryptic'.)

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