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in this demonstration we show how the shape machine can be used for binary sorting so on the right we have an unsorted string of zeros and ones and on the left we have a single sorting rule cast in the shape machine algorithm mode template to sort the ones and zeros so that all zeros are on the left and all ones are on the right and this rule is run five times as specified in the template to eventually sort out all the ones on the right and all the zeros on the left you now if we want to reverse our sorting so that the ones are on the left and the zeros on the right we simply reverse our rules so that the right-hand side is on the left-hand side of the new rule and the old left-hand side is on the new right-hand side you because of zeros and ones and these examples are drawn as shapes composed of lines and arcs the shape machine can allow us to easily reverse the argument and sort the string in the opposite way so that ones are on the left and zeros are on the right you
