A363768 The values k such that a regular k-gon with all diagonals drawn contains more 3-sided cells than 4-sided cells.
3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 30, 32, 33, 34, 36, 38, 40, 41, 42, 43, 44, 45, 46, 48, 54, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 74, 76, 78, 80, 82, 84, 86, 88, 94, 96, 98, 102, 108, 114, 118, 120, 126, 128, 138, 144
Offset: 1
Keywords
Examples
6 is a term as a regular 6-gon with all diagonals drawn contains 18 3-sided cells and 6 4-sided cells. 144 is a term as a regular 144-gon with all diagonals drawn contains 6363936 3-sided cells and 6270048 4-sided cells. This is likely the last such k-gon.
Links
- Scott R. Shannon, Image of the 6-gon. This is the first k-gon to contain both 3 and 4 sided cells and where there are more 3-sided cells than 4-sided cells.
- Scott R. Shannon, Image of the 15-gon. This is the first k-gon that contains more 4-sided cells than 3-sided cells.
- Scott R. Shannon, Image of the 39-gon. This is the only known k-gon that contains the same number of 3 and 4 sided cells. It is likely to be the only such k-gon.
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