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Author Archives: Raymond Houston
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.
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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. 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 is an 8-shape tessellation.
Pattern 1-4M-3-3/cm/I
Symmetry group cm/I horizontally reflects a pair of glide-reflected tiles as shown below. 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 is an 8-shape tessellation.
Pattern 1-4M-3-3/p2mm
Symmetry group p2mm reflects the tile along all sides as shown below. Pattern 1-4M-3-3/p2mm reflects Block 1-4M-3-3 along all sides as shown below. Pattern 1-4M-3-3/p2mm is a 7-shape tessellation.
Pattern 1-4M-3-3/pm/II
Symmetry group pm/II reflects alternate columns of tiles horizontally as shown below. 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 is a 6-shape tessellation.