and Kinetic Tile Assembly Model In the following section I will explain the model behind the Xgrow simulator. I will first explain the aTAM model which is the basis of kTAM, and then I will explain the improvements in kTAM. The Abstract Tile Assembly Model (aTAM) was proposed by Erik Winfree as a practical variation on Wang tiling. Although the model generalizes to any number of dimensions, muc...

Subsurface tile drains in agricultural systems of the midwestern United States are a major contributor of nitrate-N (NO-N) loadings to hypoxic conditions in the Gulf of Mexico. Hydrologic and water quality models, such as the Soil and Water Assessment Tool, are widely used to simulate tile drainage systems. The Hooghoudt and Kirkham tile drain equations in the Soil and Water Assessment Tool hav...

We present an algorithm for compressing pattern databases (PDBs) and a method for fast random access of these compressed PDBs. We demonstrate the effectiveness of our technique by compressing two 6-tile sliding-tile PDBs by a factor of 12 and a 7-tile sliding-tile PDB by a factor of 24.

For depth of field rasterization, it is often desired to have an efficient tile versus triangle test, which can conservatively compute which samples on the lens that need to execute the sample-in-triangle test. We present a novel test for this, which is optimal in the sense that the region on the lens cannot be further reduced. Our test is based on removing half-space regions of the (u,v)-space...

This paper describes the treatment of the more vertical type of subcapital fracture of the neck of tile femur by reduction, nailing, and immediate wedge osteotomv, with fixation by a plate attached to the head of the nail. Ten cases are recorded. As in other clinics, it had been found that the results of treatment, by the standard Smith-Petersen technique, of subcapital fractures of the neck of...

Self-assembly is a process in which basic units aggregate under attractive forces to form larger compound structures. Recent theoretical work has shown that pseudo-crystalline self-assembly can be algorithmic, in the sense that complex logic can be programmed into the growth process [26]. This theoretical work builds on the theory of twodimensional tilings [8], using rigid square tiles called W...