Tessellation Nation http://tessellationnation.com Infinite tessellations from a single tile. Sun, 23 Oct 2011 05:28:52 +0000 en hourly 1 http://wordpress.org/?v=3.3.1 The operations of symmetry revisited–Reflection http://tessellationnation.com/2011/10/22/the-operations-of-symmetry-revisited-reflection/?utm_source=rss&utm_medium=rss&utm_campaign=the-operations-of-symmetry-revisited-reflection http://tessellationnation.com/2011/10/22/the-operations-of-symmetry-revisited-reflection/#comments Sun, 23 Oct 2011 05:28:26 +0000 Raymond Houston http://tessellationnation.com/?p=3556 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)

]]> http://tessellationnation.com/2011/10/22/the-operations-of-symmetry-revisited-reflection/feed/ 2 Pattern 1-4M-3-3/cm/II http://tessellationnation.com/2011/10/19/pattern-1-4m-3-3cmii/?utm_source=rss&utm_medium=rss&utm_campaign=pattern-1-4m-3-3cmii http://tessellationnation.com/2011/10/19/pattern-1-4m-3-3cmii/#comments Wed, 19 Oct 2011 11:14:52 +0000 Raymond Houston http://tessellationnation.com/?p=3550 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.

]]> http://tessellationnation.com/2011/10/19/pattern-1-4m-3-3cmii/feed/ 0 Pattern 1-4M-3-3/cm/I http://tessellationnation.com/2011/10/12/pattern-1-4m-3-3cmi/?utm_source=rss&utm_medium=rss&utm_campaign=pattern-1-4m-3-3cmi http://tessellationnation.com/2011/10/12/pattern-1-4m-3-3cmi/#comments Wed, 12 Oct 2011 10:04:19 +0000 Raymond Houston http://tessellationnation.com/?p=3535 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.

]]> http://tessellationnation.com/2011/10/12/pattern-1-4m-3-3cmi/feed/ 0 Pattern 1-4M-3-3/p2mm http://tessellationnation.com/2011/10/12/pattern-1-4m-3-3p2mm/?utm_source=rss&utm_medium=rss&utm_campaign=pattern-1-4m-3-3p2mm http://tessellationnation.com/2011/10/12/pattern-1-4m-3-3p2mm/#comments Wed, 12 Oct 2011 09:29:33 +0000 Raymond Houston http://tessellationnation.com/?p=3530 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.

]]> http://tessellationnation.com/2011/10/12/pattern-1-4m-3-3p2mm/feed/ 0 Pattern 1-4M-3-3/pm/II http://tessellationnation.com/2011/10/10/pattern-1-4m-3-3pmii/?utm_source=rss&utm_medium=rss&utm_campaign=pattern-1-4m-3-3pmii http://tessellationnation.com/2011/10/10/pattern-1-4m-3-3pmii/#comments Mon, 10 Oct 2011 19:50:01 +0000 Raymond Houston http://tessellationnation.com/?p=3519 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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