Fig. 3

BCP in templates of 3²434 Archimedean tiling. a SEM overlaid with BCP in template with 3²434 Archimedean tiling. b Post array template without BCP; the dashed line indicates the local symmetry of the posts. c PS domain contours, forming rhombus shapes. Purple dashed line indicates the unit cell for the post array and blue dashed line is the unit cell of the BCP. d III/V-type of PS domain geometry, where the blue represents 100% density of the PS phase and yellow 100% density of the P4VP phase. e III-type of PS domain geometry. PS domain rhombuses are shown in gray. Two rhombus areas enclosed by templating posts are highlighted by the black parallelogram boxes. f Energy landscape of BCP in 3²434 template, with different L_p and different angle θ for the rhombuses formed by the template posts. Different arrangements of PS microdomains are shown as II, III, etc. The rectangular box indicates the 60-degree case of the perfect 3²434 template used in the experiment. The color scale is the free energy in units of nk_bT. For detailed analysis, please refer to Supplementary Fig. 7 and Supplementary Discussion. The scale bars in a and b are 500 nm