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A More Circular Japanese Patch
Article © MAIL User: Drax

If you've made any patches of Japanese 6-1 then you know that you can make it look like a hexagon. At the beginning, the hexagon looks circular, but as its size grows, the 6 flat sides of the hexagon stand out more and then it looks like a hexagon.

To make a piece that appears more circular than the hexagonal version, we go to a 12-sided figure (the dodecagon). Due to the greater number of sides, this pattern (see the first pic) will appear more circular than its 6-1 counterpart. However at larger ring counts, it will again start to look more like a dodecagon than a circle, but it's still a pretty good approximation (certainly better than a hexagon). Unfortunately, due to geometrical restraints, the 12-sided figure is the highest sided polygon that you can make a solid (filled with rings to the center) patch. At the very end of this article, you can find examples of other rings of polygons.

The pattern for this circular patch is quite simple. Every new row places a triangle on the edge of a square in the previous row, or a square on the edge of a triangle. Note that after the second "layer", the pattern alternates between having rows of all equal sides and unequal sides. Also notice that this pattern is, aside from the core, all Japanese 5-1.

*** There is an important distinction between this pattern and a buckey-ball (soccer ball) type of pattern. The pattern listed here will lie FLAT while the soccer ball pattern will not. ***

Image: dab_jap_circle.jpg
Image: dab_jap_circle2.jpg
Image: dab_jap_rings.jpg
Original URL: http://www.mailleartisans.org/articles/articledisplay.php?key=173