Penrose pattern #5, 17/7/11: The Stars Draw Near

Title: The Stars Draw Near
Date: 17 July 2011
Type: Pattern
Number of tiles: 330
Color breakdown: 175 yellow, 165 blue
Shape breakdown: 210 kites, 120 darts
Kosher Penrose tiling rules: no

Penrose pattern #4, 10/7/11: The Hive Mind

Title: The Hive Mind
Date: 10 July 2011
Type: Pattern
Number of tiles: 192
Color breakdown: 52 purple, 88 yellow, 52 blue
Shape breakdown: 116 kites, 76 darts
Kosher Penrose tiling rules: no

Penrose patterns #3a, 3/7/11: The Bright Kaleidoscope

Title: The Bright Kaleidoscope
Date: 3 July 2011
Type: Pattern
Number of tiles: 295
Color breakdown: 135 purple, 145 yellow, 115 blue
Shape breakdown: 230 kites, 165 darts
Kosher Penrose tiling rules: no

I can't change the color of the Penrose tiles, but I can mess with the colors in iPhoto. This one messed with exposure, sharpness, contrast and temperature. The shape is six asters of a larger size (mama kites and some darts added in), with five partial asters filling in the gaps.

Some of this stuff is starting to look like cool logos to me.

Penrose patterns #2a and 2b, 3/7/11: The Aster Fields

Title: Aster Field #1
Date: 3 July 2011
Type: Pattern
Number of tiles: 290
Color breakdown: 100 blue, 90 yellow, 90 blue
Shape breakdown: all kites
Kosher Penrose tiling rules: no

Title: Aster Field #2
Date: 3 July 2011
Type: Pattern
Number of tiles: 375
Color breakdown: 135 blue, 120 yellow, 120 blue
Shape breakdown: all kites
Kosher Penrose tiling rules: no
Supplier: SeriousPuzzles.com

I'm going to be doing more work with the aster pattern, the rounded shape made from 15 kites with the star shaped gap in the middle. If five darts were added, it would be a star with a star shaped gap in the middle, but by rounding the shape, the outside corners fit exactly into the dents and allow for infinite replication, though it does not count as a tesselation because of the arrow shaped gaps.

Penrose pattern #1, 27/6/11: The Violet

Title: The Violet
Date: 27 June 2011
Type: Pattern
Number of tiles: 300
Color breakdown: 165 purple, 75 yellow, 60 blue
Shape breakdown: 195 kites, 105 darts
Kosher Penrose tiling rules: no
Supplier: SeriousPuzzles.com

Notes: Penrose patterns mean I want to make a finite shape that may or may not include gaps. This one has little white triangle gaps and a central pentagonal gap.

There will also be Penrose tilings, which means patterns without gaps that when repeated will fill an entire plane.

Rules of Kosher (or Halal, no prejudice): Gaps are not allowed in Kosher. Rhombi, where a dart and kite meet to form a parallelogram, are the other unacceptable pattern in Halal.

You might see faces in these patterns rather than a five fold symmetrical flower. That's called pareodolia, the name for the human tendency to see faces in even completely random patterns. It was a valuable evolutionary tool waaaaaay back in the day, and it's still part of our standard mental skill set.

This gives you an idea of the size and what it looked like in the room.

Changing the focus and light intensity in iPhoto gives you an idea of the geometry in my head when I designed this.

Get used to these. Or not.

Either way, there's going to be a lot more of them.

I'd be glad to know what you think of them, positive or negative.