VW
-
CVM 1.1
The Group
pg
Generators:
t
1
,
t
2
,
L>
Relations:
L
2
=
t
1
Cell diagram:
Table:
Three homomorphisms from
pg
type
P
(
k
) =
-
1
wallpaper type of kernel group, with remarks
pg
none
pg
, same as the extended group
pg'
L
p
1
p'
b
1
g
t
2
pg
= {
t
2
2
,
L
}; new negating glide
L
and
t
2
same as above,
i
(
L
) =
L
t
2
The Group pm
Ways to Visualize Wallpaper Functions
Why there are 63 Types
The Algebra of Wallpapers
The Group p2
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: 18 Aug 1998 23:59:59
Comments to:
CVM@maa.org