Abstract: Techniques are presented to display values for a set of icons by controlling their assignment to a set of rows and their placement within these rows. A plurality of icons to be displayed is determined. An abacus attribute taking a finite set of values is associated with the set of icons. Icon groups are formed for each abacus attribute value and optionally ordered based on each of one or more sorting attributes. Inter-group indicators such as display characteristic changes, spacing and the like are determined. The inter-group indicators separate each group of icons within a row. An ordering of the icons is determined based on the abacus attribute value and the one or more optional sorting attribute values. The icons are laid out in the display space ordered by the values of the primary abacus attribute and the secondary optional sorting attributes.