The operations of symmetry revisited–Reflection

As the name implies, reflection reflects the motif horizontally, vertically, or diagonally along an imaginary mirror line. The solid lines in the examples below represent said imaginary mirror.

The Tile, reflected horizontally

The Tile, reflected horizontally

The Tile, reflected vertically

The Tile, reflected vertically

The Tile, reflected horizontally and vertically

The Tile, reflected horizontally and vertically

The Tile, reflected diagonally (1)

The Tile, reflected diagonally (1)

The Tile, reflected diagonally (2)

The Tile, reflected diagonally (2)

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Pattern 1-4M-3-3/cm/II

Symmetry group cm/II vertically reflects a pair of vertically glide-reflected tiles as shown below.

Planar Symmetry Group cm/II

Planar Symmetry Group cm/II

Pattern 1-4M-3-3/cm/II vertically reflects a pair of vertically glide-reflected Blocks 1-4M-3-3 as shown below.

Pattern 1-4M-3-3/cm/II

Pattern 1-4M-3-3/cm/II

Pattern 1-4M-3-3/cm/II is an 8-shape tessellation.

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Pattern 1-4M-3-3/cm/I

Symmetry group cm/I horizontally reflects a pair of glide-reflected tiles as shown below.

Planar Symmetry Group cm/I

Planar Symmetry Group cm/I

Pattern 1-4M-3-3/cm/I horizontally reflects a pair of glide-reflected Blocks 1-4M-3-3 as shown below.

Pattern 1-4M-3-3/cm/I

Pattern 1-4M-3-3/cm/I

Pattern 1-4M-3-3/cm/I is an 8-shape tessellation.

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Pattern 1-4M-3-3/p2mm

Symmetry group p2mm reflects the tile along all sides as shown below.

Planar Symmetry Group p2mm

Planar Symmetry Group p2mm

Pattern 1-4M-3-3/p2mm reflects Block 1-4M-3-3 along all sides as shown below.

Pattern 1-4M-3-3/p2mm

Pattern 1-4M-3-3/p2mm

Pattern 1-4M-3-3/p2mm is a 7-shape tessellation.

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Pattern 1-4M-3-3/pm/II

Symmetry group pm/II reflects alternate columns of tiles horizontally as shown below.

Planar Symmetry Group pm/II

Planar Symmetry Group pm/II

Pattern 1-4M-3-3/pm/II reflects alternate columns of Block 1-4M-3-3 as shown below.

Pattern 1-4M-3-3/pm/II

Pattern 1-4M-3-3/pm/II

Pattern 1-4M-3-3/pm/II is a 6-shape tessellation.

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