Wallpaper Patterns

The first pattern (the one on the bottom and top of the tablecloth), has reflective and rotational symmetry, and is called “Diamond Pattern”.

The second pattern (the middle of the carpet), has reflective and rotational symmetry.

Wallpaper Patterns

This is a close up pattern of the beach chair classified under pgg
This beach chair is sold at BJ’s Wholesale Club and the wall paper pattern can be classified under pgg. There are two rotations, yet there are no reflections. However, I do believe there are slide reflection which would classify this wall pattern under pgg
This is a close up of the wicker chair patterned classified under pmm
This is a out door wicker chair sold at Bj’s Wholesale club, I believe this pattern would be classified under pmm as well. It was two rotations which there is a reflection. The reflections are in two directions and the rotation center are on mirror lines.
This is a diamond plate pattern that was protecting a pillar in BJ’s wholesale club. I believe this wall paper pattern would be classified under pmm. It was two rotations which there is a reflection. The reflections are in two directions and the rotation center are on mirror lines.

Patterns In The Home

Frieze Pattern: The bulges on the headrest poles in the red rectangle in the image below is the frieze pattern.

Symmetries: Translation, Vertical Reflection, Horizontal Reflection

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Rosette Pattern: The hanging light in the image below is a dihedral 8 figure. This figure can be rotated 8 times and has 8 reflection lines.

Symmetries: Rotation, Reflections