Logic Masters Deutschland e.V.

Here is the 13th chapter of the Zodiac Project, initiated by ViKingPrime. When I was given the task to set the next puzzle in this serie, I knew I wanted to do something with a thematic symbolic tone to it. Inspiration took quite a long time to come to me. Finally, when I was thinking of the astrological sign I could use as a theme, the concept of these Gemini grids emerged. Two grids that would look exactly identical. They would therefore have a lot in common, like the twins in the mythology. Yet, because of little differencies that the eye cannot see (namely the property of the 2 sets of circles), they would eventually lead to different solutions. And of course, like the twins, they couldn't exist without each other. Here is the result. Enjoy !

Play on Penpa

Play on Sudokupad (version with the grids side by side)

Play on Sudokupad (version with the grids above/below)

Rules :

- Normal sudoku rules apply in both grids.

- Circles / Doublers : in each grid, the circles contain a complete set of the digits 1-9. For each pair of circles in the same position in both grids, the digit is the same. In one of the grids, the value of the cell is double the value of the digit. In the other grid, the value is unchanged. The doublers are not necessarily all in the same grid. It is up to the solver to determine in which grid each digit is doubled.

- Killer cages : Digits can not repeat in a cage. The values of the cells in a cage must sum to the total in the top left corner (except the 28 cage which is in the top right), if given. If the total is not given, it still has to be the same for the 2 cages that are in the same position in the 2 grids.

- Note : as both grids are identical, no anwser check is provided, because the solved grids could be switched.

Illustration of the ruleset on a partial grid :

In this example, doublers are in blue, normal digits are in yellow. The 2 cells cage has a total of 5 in both grids

The previous parts of the series are:

Chapter 1: Orion's Belt by ViKingPrime
Chapter 2: Counting Castles by marty_sears
Chapter 3: Derezzed by heliopolix
Chapter 4: Rodd Stevens by 99%Sneaky
Chapter 5: Phase Shift by meggen033
Chapter 6: Cage Decoder by sujoyku
Chapter 7: Star Chart by Flinty
Chapter 8: Parity Expedition by palpot
Chapter 9: Suguru's Surge by gdc
Chapter 10: Minefield Maneuvers by SamuPiano
Chapter 11: Ponta Delgada by Florian Wortmann
Chapter 12: Lost in Space by lerroyy

The next setter of the project will be MaizeGator and I am impatient to discover what he will do with that grid :