NUMERIA

INTRODUCTION
Abstract Board Game for 2 Players. 

THE BOARD
Use a standard Chessboard. 

THE PIECES
Use a set of 36 Tiles numbered 1 to 36. 

WINNING
The first player to collect 3 Tropes is the winner. 

SETUP
Each player draws a random Tile: High Number goes first. 
Randomly place the 36 Tiles onto the middle 36 spaces of the Board. 
Each tile should fit comfortably within a single space on the Board. 
Each tile should be number side up. 
Remove the 4 Tiles from the 4 middle spaces of the Board. 
Randomly place these 4 Tiles onto the 4 corner spaces of the Board. 

TROPES
A Trope is a line of 4 Tiles that make a recognized mathematical pattern. 
A Trope can be orthogonal or diagonal. 
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. 

OFFICIALLY RECOGNIZED TROPE PATTERNS LIST
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 13,17,21,25
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

TROPE ORDER RULE
Important: 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

TURN SEQUENCE
Players take turns. 
On your turn you may Move 1 Tile. 
A Tile may be moved like a queen in Chess. 
A Tile 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. 
(Remember the starting space of a Tile you are moving just 
in case you change your mind mid-move)
No Take-backs once your hand leaves the Tile. 

MAKING A TROPE
If you make a Trope on your turn remove it from the board and 
place it in a pile next to you. 
If you collect 3 Tropes you win. 
Note: Yes, really the 4 Tiles of the collected Trope are removed from the 
board for the rest of the game and cannot be used to make new Tropes. 
You just have to make do with what is left. 

LAST TILE STANDING RULE
You cannot move, or use in a Trope, the tile your opponent just moved
on his last turn. 

DOUBLE TROPES RULE
If you make a pattern of 2 tropes that shares 1 or more Tiles, you 
can only remove 1 Trope, the other does not count. 

FINDING A TROPE
If you find an already completed Trope on the board made earlier, 
you may not claim it. You can only claim a trope you make yourself 
on the turn you make it.  

DESIGNERS NOTES
Numeria was the Roman Goddess of Mathematics. 

LINKS
Thousand Year Game Design Challenge