A346112 Size of the smallest regular polygon chain for a regular polygon with n sides.

6, 4, 6, 3, 6, 4, 6, 5, 6, 3, 6, 4, 6, 4, 6, 3, 6, 4

Offset: 3

Author

Stuart E Anderson, Jul 05 2021

Keywords

• nonn
• more
• hear

Comments

Each polygon in a polygon chain shares one edge with both its predecessor and successor polygon. The polygon chain forms a connected cycle.

Examples

			For n = 6, 3 hexagons can form a ring.  See the first link for this and further images.
		

Links

• Stuart Anderson, Smallest regular polygon chains for n= 3 to 16
• Dan McKinnon, Regular polygons, in rings

Formula

Empirical observations for n >= 3:

a(n) = 3 if n == 0 (mod 6),

4 if n == 4 or 8 (mod 12),

5 if n = 10,

4 if n = 14,

6 otherwise.