Impact diamonds were found in several inipactites from the Ries crater. Geriiiaiiy including fallout and fallback (crater f i l l ) suevites. a glass bomb, impact melt i-ock and shocked gneiss. These diamonds formed two distinct grain size populations: 50-300 pii apographitic. platy aggregates with surface ornamentation and etching that \vere observed using optical and scanning electron microsc...

We present a variation of James Propp’s generalized domino shuffling, which provides an efficient way to obtain perfect matchings of weighted Aztec diamonds. Our modification is specially tailored to deal with cases when some of the weights are zero. This allows us to tile efficiently a large class of planar graphs, by embedding them in a large enough Aztec diamond. We also give a sufficient co...

We have exact formulas for the number of tilings of only a small number of regions: Aztec Diamonds, Fortresses, and regions composed of Lozenge Tiles. However, these regions, particularly aztec diamonds and lozenge tilings are fundamental, and numerous other regions types can be reduced to weighted versions of these graphs using urban renewal techniques. This paper will illustrate the process b...

From DNA replication to satellite communication, identifying and fixing errors is an essential part of building robust large-scale systems. Common approaches to error correction make use of redundancy (encoding copies of information across more than one entity) and rely on the fact that multiple errors are less likely to occur than a single error. For error correction in quantum information pro...