Sailboats in the Hawaiian Sunset
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Analysis of Sailboats in Hawaiin Sunset
KEY:
1) red segments represent reflection mirrors
2) light green segments represent glide mirrors that are not reflection mirrors
3) dark blue segments represent translation generators
4) dark green segments represent shortest glide vectors that are not translation
generators
5) yellow points represent cyclic centers
6) light blue points represent dihedral centers
7) fundamental region is shaded pink
8) quilt block is shaded yellow
Symmetries present:
translation (assuming the flower pattern within the sailboats
are the same for each boat)
Description of symmetries: Translation
is the only symmetry of the quilt. The shortest translation generators vertically
and horizontally are the distance between the centers of the blocks.
Description of fundamental region:
The fundamental region is essentially the same
as a block, except we must include part of the strip borders used to set the
quilt together.
Description of symmetries in block: Each
block individually is asymmetric.
Relationship between block and fundamental region:
A block is essentially the same as the fundamental region,
except without the strip border included.
Description of symmetries in quilting:
The quilter 'traced' the pattern of the quilt embellishing
only with a border. Thus, the quilting symmetry is in harmony with the quilt
symmetry. This quilt has a quilted 'double rope' border representative of
a strip pattern. For analysis of the border, see below.
Sailboats in Hawaiian Sunset
Border Pattern
To see entire quilt, scroll up to the top.
TR, or 22i
Analysis of hand-quilted border
There are dihedral 2 rotation centers on the
center line in the center of each rope piece and also on the edge of each
rope piece. The translation vector of the strip pattern is equal to the distance
from the center of one piece of rope to the center of the next piece of rope.