Hexagonal
Posted: July 16th, 2023, 9:57 am
Hexagonal numbers are defined by
N = 3*n^2 + 3*n + 1
where n is a positive integer and they count the number of dots in the shape of a hexagon. The first few are 7, 19 and 37. Alison suggests the following even money bet to Betty. Alison would write a different digit on each of three pieces of paper and put them in a hat. Betty would pull them out one by one. If the three digit number formed by writing the digits in the order in which they were drawn were a hexagonal number, Alison would win. Otherwise Betty would win. Betty reasoned that there couldn’t be too many three digit hexagonal numbers and that there are hundreds of non-hexagonal number – she gleefully accepted the bet. Was she wise?
Cinelli
N = 3*n^2 + 3*n + 1
where n is a positive integer and they count the number of dots in the shape of a hexagon. The first few are 7, 19 and 37. Alison suggests the following even money bet to Betty. Alison would write a different digit on each of three pieces of paper and put them in a hat. Betty would pull them out one by one. If the three digit number formed by writing the digits in the order in which they were drawn were a hexagonal number, Alison would win. Otherwise Betty would win. Betty reasoned that there couldn’t be too many three digit hexagonal numbers and that there are hundreds of non-hexagonal number – she gleefully accepted the bet. Was she wise?
Cinelli