**Hugo Simoes**

simple living, careful thinking, collective fun

# blog

## ConnXxis - the puzzle and the quest for its optimal score

Back in 2010 I came up with a set of 20 hexagonal tiles together with a scoring system that I planned to release as a physical board game.

I was hoping those tiles could be used for different games, not unlike a deck of cards.

I called it **ConnXxis** (con-ek-sish) as a blend that combines the words "hexagonal connections", and where the capital X could be represented by one of the hexagonal tiles in a logo.

Over the years I have tried quite a few prototypes, both physical and digital.

Today, I am happy to finally announce it, in an abstract representation only possible in the digital world.

### Tiles

Each tile has 3 pairs of different letters, where three of those letters are capitals.

The 20 tiles have all combinations of the 6 letters: "a", "b", "c", "d", "e" and "f".

The first tile has "abc", the second has "abd", and so on, until the twentieth has "def".

Each tile is connected to 6 other tiles through each of its 6 letters.

### Scoring

Each connection between tiles is worth:

2 points, if it has the same capital letter;

1 point, if it has the same letter;

1 point, if both letters are capitals;

0 points, otherwise.

The score of a given setup is the sum of every connection.

### Quest

Each tile can be rotated and any two tiles can swap position.

The amount of possible board setups is a 34-digit number.

We cannot go through them all, but we know that the minimum score is zero.

How about the maximum score? We know that it cannot be higher than 90...

Help me find a better score and you can enter the ConnXxis Hall of Fame.

Let the quest begin! :)

*May 29, 2020*

*ConnXxis*, *Prequel*