Abstract Board Game for 2 players named after the Roman Goddess of Mathematics.

A standard chessboard is used with a set of 36 tiles numbered from 1 to 36. To start the 36 tiles are placed, face-up on the middle 36 spaces of the Board. Once completed the central 4 tiles are removed an placed, randomly, on the four corners of the board.

The aim of the game is to move tiles around the board in order to make a recognized mathematical pattern of 4 tiles - a Trope.
A Trope can be orthogonal or diagonal and the tiles within a Trope must form a connected line of adjacent tiles. In an orthogonal Trope tiles will share a side. In a diagonal Trope tiles will share a corner.

The numbers within a Trope must be in line in ascending or descending Order so for instance you could have 1, 2, 3, 4 or 4, 3, 2, 1 but not 2, 3, 1, 4 or 4, 2, 1, 3

Types of Trope are:
Consecutive Run --- (Four Consecutive Numbers) - Example: 1, 2, 3, 4 or 8, 9, 10, 11
Multiples Run --- Example: 3, 6, 9, 12 or 8, 12, 16,20
Irregular Repeating Run--- Example: 4, 7, 10, 13 or 13, 17, 21,2 5
Plus 1 Plus 2 Plus 3 Run--- Example: 16, 17, 19, 22
Prime Number Run--- (Must be consecutive Primes) - Example: 1, 2, 3, 5, or 7, 11, 13, 17 or 23, 29, 31, 33
Power Run--- Example: 1, 2, 4, 8 or 4, 8, 16, 32 or 1, 3, 9, 27
Squares Run--- Example: 1, 4, 9, 16 or 9, 16, 25, 36
Triangular Run--- Example: 1, 3, 6, 10 or 6, 10, 15, 21 or 15, 21, 28, 36
Fibonacci Run--- Example: 1, 2, 3, 5 or 3, 5, 8, 13 or 8, 13, 21, 34

Players take turns to play.
On your turn you may move 1 tile. A tile may be moved like a queen in Chess, it may also jump other tiles like in Checkers.
When Jumping, there may be any number of jumps and they may be in any direction, forwards and backwards.

If you make a Trope on your turn remove it from the board and place it in a pile next to you.

The first player to collect 3 Tropes wins.

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