Sailboats in the Hawaiian Sunset




Analysis of Sailboats in Hawaiin Sunset


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.

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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.

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