DiDrafter consist of two drafters. Of course we talk about the extended version with 6 + 7 = 13 tiles, which are connected by at least half a edge. The seven dragon tiles ( »Q« to »W« ) are bound to build rings, that means that there are no compact forms with the 13 tiles alone.

DiDrafter

We take a similar approach as with the DiDom puzzle ([Logelium] DiDom) and double the tile set. This results in a covered areas of 2 * 13 * 1 = 26 isoscale triangles.

There a many convex forms with large solutions numbers. See some examples:

Diamant3

3.693.865 * 2 solutions

as SVG version

Diamant1

2.702.891 * 2 solutions

Kasten 

544 * 4 solutions

as SVG version

The onesided version has 22 tiles including 16 dragon tiles, which force a grid shift. This ratio of 6 : 16 leads to unusually complicated grid patterns. Therefore the number of solutions are significant smaller compared to the double tile set forms. The example below has only 87 solutions.

DiDrafter1

as SVG version

I was not able to find a solution of a convex form manually, but …

… when automatically generating all 1701 convex drafter forms with an area of 22 units and subsequent puzzle solving 27 forms with solutions were found. Remarkably none of these are symmetrical.

 

E-DD2S.6A+1C+3D+1E+5H+1K+1M

only one single solution

as SVG version

 

E-DD2S.4A+2B+3E+2F+3H+1J+2L+1M

2 solutions

as SVG version

 

E-DD2S.5A+2C+1D+3E+2F+1H+4K

This form has 26 solutions, the most of the series.

as SVG version


You find the complete solution list of all convex forms here:
Convex Onesided Didrafter Forms (PDF)

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