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The Group p2

	Generators:		t1, t2, R
	Relations:		R2 = 0
	Cell diagram:

Table: Three homomorphisms from p2

type	P(k) = -1	wallpaper type of kernel group, with remarks
p2	none	p2, same as the extended group
p2'	R	p1
	R and t1	not a new type; i(R) = R t1
	R and t2	not a new type, i(R) = R t2
p'b2	t1	p2 = {t12, t2, R}; doubled cell
	t2	not a new type, interchange t1 and t2
	t1 and t2	not a new type; i (t1) = t1t2
	R, t1 and t2	same as above, with i(R) = R t1

The Group pg Ways to Visualize Wallpaper Functions Why there are 63 Types The Algebra of Wallpapers The Group p1