George William Hart (born 1955)[1] is a geometer who expresses himself both artistically and academically. He is also a research professor in the department of computer science at the State University of New York in Stony Brook, New York.
His artistic work includes sculpture, computer images, toys (e.g. Zome) and puzzles. His sculptures have been featured in articles in the New York Times, [2] Science (magazine), Tiede (Finnish), Ars et Mathesis (Dutch), Наука и жизнь (Russian) and other publications around the world. [2]
His academic work includes the online publication Encyclopedia of Polyhedra, the text book Multidimensional Analysis, and the instruction book Zome Geometry. He has also published over sixty academic articles.
Hart is a coinventor on two US patents, U.S. Patent 4,672,555 Digital ac monitor and U.S. Patent 4,858,141 Non-intrusive appliance monitor apparatus. These patents cover, in part, an improved electrical meter for homes called Nonintrusive load monitors. These meters track changes in voltage and current usage by a given household and then deduce which appliances are using how much electricity and when.
Hart received a B.S. in Mathematics from MIT (1977), an M.A. in Linguistics from Indiana University (1979), and a Ph.D. in Electrical Engineering and Computer Science from MIT (1987).
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The Incompatible Food Triad is a puzzle to find three foods for which any pair will taste good together, but all three together will not. The puzzle is believed to have originated with the philosopher Wilfrid Sellars, and has been spread by some of his former colleagues and students, including Nuel Belnap and George W. Hart. The puzzle was also featured on WNYC's The Brian Lehrer Show.[3]
Given three foods that don't go together, it's usually because two of them don't go together. For example, Richard Feynman's famous example of accidentally requesting milk and lemon in his tea is not a solution. While tea and lemon do go together, and tea and milk do go together, milk and lemon do not go together. For this solution to work, milk and lemon would have to go together as well.
According to Hart, most attempted solutions tend to overlook one of the three pairs. Issues of personal taste and preparation complicate the issue, as combinations some consider acceptable sound unpalatable to others, and problems such as milk curdling with the addition of lemon juice can potentially be overcome if a cheesemaking process is employed.
Find a counter example to either of the following (equivalent) putative implications, (where R(x,y,...) means "x, y, ... all go together") :
In a posting on its website after the puzzle was aired on the WNYC radio show in New York; Beer, 7Up, and Whiskey was given as a solution with the statement that beer with 7Up makes shandy, beer with whiskey makes a boilermaker and whiskey with 7Up is a 7 & 7, but the three together would "make you sick". Other possible solutions from viewers included:
A few of the "classic" solutions are: