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The 35-year-old feels the weight of responsibility as those he supports feel he has failed them.
Unlike hexagons, pentagonal faces cannot be evenly divided into equilateral triangles; neither can they tessellate, or tile, a 2D plane without gaps or overlaps. To account for this, Twarock turned to Penrose tilings, which can, in fact, tile a plane with five-fold symmetry but with a combination of several distinct shapes; one instead uses “kites” and “darts,”24 or kites and rhombs, all of which are four-sided. Such tilings are non-periodic (made of non-identical types of shapes) but still produce long-range order, as in quasi-crystals. Kites and rhombs represent different types of biological interactions — within trimers and dimers, respectively.