Penrose patterns #13a and #13b : The clusters

Cluster #1

Date: 23 October 2011

Type: Pattern

Number of tiles: 230

Color breakdown: 75, purple, 55 yellow, 100 blue

Shape breakdown: 130 darts, 100 kites

Kosher Penrose tiling rules: no

Cluster #2

Date: 23 October 2011

Type: Pattern

Number of tiles: 330

Color breakdown: 125, purple, 105 yellow, 100 blue

Shape breakdown: 175 darts, 155 kites

Kosher Penrose tiling rules: no

They remind me of military medals.

Penrose patterns #12a and #12b : Fifteen stars in yellow and blue

Fifteen Stars in Yellow & Blue #1

Date: 16 October 2011

Type: Pattern

Number of tiles: 130

Color breakdown: 75 yellow, 55 blue

Shape breakdown: 75 darts, 55 kites

Kosher Penrose tiling rules: no

Fifteen Stars in Yellow & Blue #2

Date: 16 October 2011

Type: Pattern

Number of tiles: 180

Color breakdown: 75 yellow, 105 blue

Shape breakdown: 75 darts, 105 kites

Kosher Penrose tiling rules: no

Penrose patterns #11a, #11b and #11c : Two Stars in two colors

Two Stars in Purple & Yellow

Two Stars in Blue & Purple

Two Stars in Yellow & Blue

Date: 4 September 2011

Type: Pattern

Number of tiles: 330

Color breakdown: 165 of one color, 165 of another color

Shape breakdown: 210 kites, 120 darts

Kosher Penrose tiling rules: no

Penrose pattern #10 : The Big Star #3

Title: The Big Star #3

Date: 28 August 2011

Type: Pattern

Number of tiles: 430

Color breakdown: 215 yellow, 130 blue, 85 purple

Shape breakdown: 270 kites, 160 darts

Kosher Penrose tiling rules: no

This is what it looked like in the room with minimal color fixing.

Penrose patterns #9a and #9b: The Big Star

Title: The Big Star #1

Date: 21 August 2011

Type: Pattern

Number of tiles: 430

Color breakdown: 130 yellow, 100 blue, 200 purple

Shape breakdown: 270 kites, 160 darts

Kosher Penrose tiling rules: no

Title: The Big Star #2

Date: 21 August 2011

Type: Pattern

Number of tiles: 430

Color breakdown: 145 yellow, 85 blue, 200 purple

Shape breakdown: 270 kites, 160 darts

Kosher Penrose tiling rules: no



I shrink the pictures down so they don't take forever to download, so it's hard to get an idea of the scale of these. You'll notice the tips of the final points of the outside stars are not purple, and this is because I only have 132 kites in each color. Because of all the empty space, this is one of the largest patterns I've created so far, several feet in diameter.

Penrose pattern #8: The Whirlygig

Title: The Whirlygig

Date: 14 August 2011

Type: Pattern

Number of tiles: 180

Color breakdown: 90 yellow, 90 blue

Shape breakdown: 120 kites, 60 darts

Kosher Penrose tiling rules: no

Penrose pattern #7: The Ice Flowers.

Title: The Ice Flowers

Date: 8 August 2011

Type: Pattern

Number of tiles: 120

Color breakdown: 90 yellow, 30 blue

Shape breakdown: 90 kites, 30 darts

Kosher Penrose tiling rules: no

Penrose patterns #6a and #6b, 24/7/11: Phospor fields

Title: Phospor Field #1

Date: 24 July 2011

Type: Pattern

Number of tiles: 405

Color breakdown: 145 yellow, 145 blue, 115 purple

Shape breakdown: 270 kites, 135 darts

Kosher Penrose tiling rules: no

Title: Phospor Field #2

Date: 24 July 2011

Type: Pattern

Number of tiles: 495

Color breakdown: 145 yellow, 175 blue, 175 purple

Shape breakdown: 330 kites, 165 darts

Kosher Penrose tiling rules: no

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.