VW
-
CVM 1.1
The Group
p
1
Generators:
t
1
,
t
2
Relations:
none
Cell diagram:
Table:
Two homomorphisms from
p
1
type
P
(
k
) =
-
1
wallpaper type of kernel group, with remarks
p
1
none
p
1, same as the extended group
p'
b
1
t
1
p
1 = {
t
1
2
,
t
2
}; doubled cell
t
2
not a new type, interchange
t
1
and
t
2
t
1
and
t
2
not a new type,
i
(
t
1
) =
t
1
t
2
The Group p2
Ways to Visualize Wallpaper Functions
Why there are 63 Types
The Algebra of Wallpapers
Communications in Visual Mathematics
, vol 1, no 1, August 1998.
Copyright © 1998,
The Mathematical Association of America
. All rights reserved.
Created: 08 Jul 1998 --- Last modified: Sep 30, 2003 9:26:28 AM
Comments to:
CVM@maa.org