Talk:Polystick

90-degree connections only?

Having never heard of a polysick, I did a Google search and found little except for information on an adhesive product and numerous Wikipedia clone articles identical to this and the polyform article which links here. The only applicable outside article that I did find was http://puzzler.sourceforge.net/docs/polysticks.html#polysticks-of-order-1-through-4, which infers (based on the picture of a solution) that polysticks can be joined, not only at 90 degrees, but also at 0 degrees. This article just mentions the 90-degree connections, but allowing both 0 and 90 makes more sense to me. Nonenmac (talk) 01:01, 18 July 2008 (UTC)[reply]

Polyedges

From: http://puzzler.sourceforge.net/docs/FAQ.html

Polysticks (a.k.a. "polyedges"; A019988):

Sticks	Name	Polysticks	One-Sided
1	monostick	1	1
2	distick	2	2
3	tristick	5	7
4	tetrastick	16	25
5	pentastick	55	99

Nonenmac (talk) 16:25, 18 July 2008 (UTC)[reply]

Equivalent to:

Number of ways of embedding a connected graph with n edges in the square lattice:

1, 2, 5, 16, 55, 222, 950, 4265, 19591, 91678, 434005, 2073783, 9979772, 48315186, 235088794, 1148891118, 5636168859

(from A019988 - Nonenmac (talk) 16:35, 18 July 2008 (UTC)[reply]

Another polyedge reference

Counting polyforms

Updated table

Number of Sticks	Name of Polystick	Number of Free Polysticks	Number of One-Sided Polysticks
1	monostick	1	1
2	distick	2	2
3	tristick	5	7
4	tetrastick	16	25
5	pentastick	55	99
6	hexastick	222
7	heptastick	950
8	octastick	4265

--Nonenmac (talk) 19:37, 18 July 2008 (UTC)[reply]