Here are some symmetric patterns constructed with all 56 onesided pentaboloes. First the shapes were split into two parts and the computer filled one part several times counting how often each pentabolo was used. The often used pentaboloes were barred from the following construction of the other part and at last the first part was filled with the remaining pieces. In addition you must limit the consumption of pieces with many usable s-edges while building the "latin cross" because of its large circumference consisting of s-edges.
I think it's no problem to detect the border separating the two parts.
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