20 Dec 2015, 9:42 pm
(I hope that's not the name of a preexisting concept.)
I decided to do some (a lot) of math tonight. I printed out a chart of numbers 1 to 100 and began by coloring in triangular numbers. Next came square numbers, then pentagonal, hexagonal, etc. I used a chart from Wikipedia.
The chart only went up to 25-sided polygons (before skipping to 1000), so I had to do some of my own calculations after recognizing a pattern in the series of formulae given. I worked until the values of n exceeded 100; the last polygon with a value of n (n=3) below 100 (at 99) was 34-sided. (n=1 values are always 1, and n=2 is always the number of sides.)
After filling in every number from triangular to triacontakaitetragonal, I was left with many numbers that could not be constructed into polygons—shapeless numbers.
The numbers are: 2, 26, 29, 31, 32, 37, 38, 41, 43, 44, 47, 50, 53, 56, 59, 61, 62, 67, 68, 71, 73, 74, 77, 79, 80, 83, 86, 89, 97, 98.
21 Dec 2015, 9:36 am
