puzzles are comprised of linked loops , where the loops are made by first making flat strips of equilateral triangles by hinging the triangles together at their edges and then folding the strips at the hinges and then connecting the end triangles together to form a twisted loop that has the overall form of a flattened hexagon known in the literature of recreational mathematics as a hexaflexagon . the linked loops are linked hexaflexagons and the loops can be shifted and folded into many different 2 and three dimensional positions with respect to the loops they are linked to . the resulting linked loop puzzles have been now named as slipagons since they can be shifted by sliding loops with respect to the loops they are linked to as well as by folding . the loops can be linked in many ways to form puzzles of greatly varying difficulty where the object of the puzzle can be to get from one shifted geometric form to another or to get a figure drawn on the loops of the puzzle into some given arrangement .