Hugo Simoes
simple living, careful thinking, collective fun


Blog

Month: May 2020

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.

Prototype of the ConnXxis physical tiles

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

Prototypes of the ConnXxis physical tiles

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

Tiles

All 20 ConnXxis 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 connects to 6 other tiles

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

Scoring

How many points per connection?

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 minimum score is zero

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...

ConnXxis Hall of Fame

Help me find a better score and you can enter the ConnXxis Hall of Fame.
Let the quest begin! :)

May 29, 2020
ConnXxis, Prequel


Categories:
Archives:

    2024

    2023

    2022

    2021

    2020