123 School Work

Triminoes Maths Coursework

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  Triminoes Coursework
  
  Introduction
  I am investigating a relationship between the number of triminoe cards in a set and the largest number used on the card.
  I am also investigating a relationship between the sum of all the numbers on a set of triminoe cards and the largest number used on the cards.
  To complete my investigation I will need to produce a cubic and a quartic equation.
  This will help me to find the relationships and thus find the final relationship between the 2 equations that I will have discovered earlier.
  The game, Triminoes, is played using triangular pieces of card. Each card has 3 numbers on it.
  e.g.
                       2
                                          
  1 0
  
  Here I am finding the numbers in a set by only using the largest numbers 0 and 1 as a trimino card.
  
  0,0,0
  0,0,1
  0,1,1
  1,1,1
  
  Largest numbers 0,1 and 2
  
  
  
  
  
  
  
  
  Largest number 0,1,2 and 3
  
  
  
  
  
  
  
  
  
  Largest number 0,1,2,3 and 4
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  Largest number 0,1,2,3, 4 and 5
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  Largest number 0,1,2,3, 4, 5 and 6
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  LARGEST NUMBER
       
  NUMBER OF CARDS
  1     4
  2     10
  3     20
  4     35
  5     56
  6     84
  
  
  
  LARGEST NUMBER
       
  SUM OF CARDS
  1     6
  2     30
  3     90
  4     210
  5     420
  6     756
  
  
  Term no...