by GlassSorcery.com
This pattern is based on Penrose Tilings. See our Penrose Rhombi pattern
for another example of a Penrose tiling. As I mentioned with regard to that pattern:
Penrose Tilings have a number of astonishing properties.
One is that any finite portion of any tiling is contained an infinite number of times
in every other tiling. This means that you cannot tell, by examining a piece of a tiling,
which pattern you are on!
Quoting from Professor Dutch with my annotations in brackets regarding this pattern:
"In some ways the pattern here, the Cartwheel, is the most important Penrose Tiling.
The purple region at the center is outlined by a decagon consisting of a kite and dart edge.
Every point in every tiling is contained inside an identical decagon (although the contents may differ).
The outer portion of the pattern consists of two parts. There are ten yellow [here I have used gold & purple]
sectors and ten blue spokes. The spokes consist of "bowtie" units and the spokes can be flipped
180 degrees and still fit their adjacent sectors. That means there are 1024 possible spoke
arrangements but after rotations and reflections are eliminated there are only 62 distinct patterns.
Each of the spokes can be continued inside the cartwheel, but eventually they end,
enclosing a region that Penrose calls a "decapod" [in red, except for Batman darts in black.]
All decapods can be constructed out of 36-108-36 isosceles triangles. The one shown here,
dubbed "Batman", is the only one of the 62 decapods that can be legally tiled with darts and kites.
The five darts in a Batman figure and the two intervening kites are the only tiles in any Penrose tiling
that are ever part of a pattern without fivefold symmetry."
For more information on Penrose tilings see Penrose's book
The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics ,
Oxford University Press, 1989
or see Professor Steven Dutch's explanation.
View the pattern instructions/glass suggestions
To save this color view of the pattern right click, then click Save Image As or
Save Picture As and save on your computer.
This pattern is available in a black & white jpg
and in Glass Eye 2000 format
I would categorize this as more challenging,not because of the complexity
of the shapes, which are very straight-forward,
but because of the sheer
number of the pieces and the difficulty of keeping
each piece in the proper
order when they look so much alike.
It is important to keep each piece in the correct location.
The Penrose Cartwheel pattern is displayed above with these glass choices:
Spectrum 161W Yellow Cathedral Waterglass
Spectrum 5342W Violet Waterglass
Spectrum 1308W Pale Blue Cathedral Waterglass
Spectrum 134W Medium Blue Cathedral Waterglass
Spectrum 1408W Pale Purple Cathedral Waterglass
Spectrum 1009S Black Smooth Cathedral
Spectrum 151RR Cherry Red Rough Rolled Cathedral
Pattern enlargement and reduction help.
Stained Glass Tutorials and Tips
All patterns on this website are
protected by copyright laws
and are not for resale or commercial distribution by others
They are for your personal use only, and are not for commercial use.
You must obtain express written
consent from GlassSorcery.com
to reproduce, publish, or post any pattern on another website.