I created this design for a brick wall in Mathematica. Constructing it would be tedious and technically demanding work indeed, requiring numerous jigs and repeated measurements, not to mention an unusually skilled mason. Or a robot. A few groups have begun to experiment with the idea of robotically laid brick construction, most notably the Swiss firm Gramazio & Kohler (Facade Gantenbein Winery, Structural Oscillations), and recently, students at the Harvard University Graduate School of Design (On the Bri(n)ck). Inspired by these efforts, I set out to investigate the possibilities of robotic brick-wall construction with Mathematica.

The idea struck me as I was toweling off after a swim: what would happen if I crossed the Mercedes-Benz and Grignani logos from my February 2009 blog post, Exploring Logo Designs with Mathematica? Hybrid vigor is a well-known phenomenon responsible for increased yields in corn, and metaphorically, for the economic and cultural flourishing of civilizations that engage in foreign trade. Would the progeny of Benz and Grignani show similar effects?

Q: What do proteins, snowflakes, and these figures have in common? A: They're all instances of "minimum inventory/maximum diversity" systems, a term coined by Peter Pearce in his book, Structure in Nature Is a Strategy for Design (MIT Press, 1978).

On my way to becoming a graphics developer at Wolfram Research, I took detours through degrees in design and architecture. One of my enduring passions is exploring graphic design with programmatic and generative systems. While some aspects of design require the skilled hand of the designer, others can be formalized and explored by computer. For those tasks, Mathematica is an exceptional tool. As starting points for design explorations, corporate logos are ideal. They often distill a single idea into simplified geometric form that is straightforward to parameterize in Mathematica. Once a logo is in Mathematica, exploring its parameter space quickly leads to the discovery of new graphic phenomena, emergent forms, unexpected relationships, and burgeoning lines of inquiry. Mathematica's very high-level programming and interface constructs help your explorations keep pace with your brain as it flings out new ideas left and right. Take a logo as simple as the Mercedes-Benz star. Just three points framed by a circle, its geometry is easily described in a few lines of Mathematica code, with some obvious parameters controlling the number of points on the star, the sharpness of the star's points, the thickness of the outer circle, and the orientation of the star.