Common Space

The joint plot of the common space allows for an interpretation of the dimensions. The horizontal dimension appears to discriminate between soft and hard bread or toast, with softer items as you move right along the axis. The vertical dimension does not have a clear interpretation, although it perhaps discriminates based on convenience, with more "formal" items as you move down along the axis.

This creates several clusters of breakfast items. For example, the donuts, cinnamon buns, and Danish pastry form a cluster of soft and somewhat informal items. The muffins and cinnamon toast form a cluster of harder but more formal items. The other toasts and hard rolls form a cluster of hard and somewhat informal items. The toast pop-up is a hard item that is extremely informal.

The individuals represented by the row objects are clearly split into clusters according to preference for hard or soft items, with considerable within-cluster variation along the vertical dimension.