586 results about "Triacontagon" patented technology

One embodiment of the present invention provides a system that determines an assist feature placement. During operation, the system receives an initial assist feature placement for a layout. Next, the system determines assist feature perturbations using the initial assist feature placement. An assist feature perturbation typically comprises a few simple polygons. The system then determines perturbation values at evaluation points in the layout using the assist feature perturbations and an analytical model. If a process-sensitivity model is used, the perturbation value at an evaluation point is associated with the change in the through-process window at that point in the layout. Next, the system determines a change in the value of an objective function using the perturbation values. The objective function can be indicative of the overall manufacturability of the layout. The system then determines an assist feature placement using the change in the value of the objective function. For example, the system can determine an assist feature placement using an assist feature perturbation which minimizes the objective function value.

An exercise apparatus with base horizontal members forming a base polygon and ceiling horizontal members forming a ceiling polygon and a plurality of vertical members mounted at their lower ends to the base polygon and mounting the ceiling polygon spaced from the base polygon. A human interface permits athletes to exercise, and wheels mounted to the base polygon permit transport of the apparatus and attached equipment to a field or court. The base polygon includes two parallel skids and the human interface may be a pad permitting an athlete to push the apparatus horizontally when none or two of the wheels contact the ground. When no wheels contact the ground, the apparatus may be used in the manner of a weight rack, because the apparatus will not move along the ground without substantial force being applied.

A method of generating a free-form surface model includes the steps of applying linear transformation to a lattice polygon model to generate vertices of a free-form surface model corresponding to respective vertices of the lattice polygon model, and generating control points of cubic Bezier curves that connect the vertices of the free-form surface model, and that correspond to respective edges of the lattice polygon model.

A metallic hollow columnar member with a polygonal cross-section having at least five vertices and sides extending between the vertices, is disclosed. The polygonal cross-section is divided by two vertices (A, B) with small inside angles into two perimeter segments with a perimeter comprising one or more sides, and at least one of the two perimeter segments contains at least four sides. The respective inside angles of at least three vertices (V(i)) included in the perimeter segment which includes the at least four sides are equal to or less than 180°, the distance (SS(i)) between each of the at least three vertices (V(i)) and a straight line (L) connecting the two vertices (A, B) is shorter than ½ of the distance between the two vertices (A, B), and the inside angle of the vertex (C) with the smallest inside angle among the at least three vertices (V(i)) is larger than the inside angles of the two vertices (A, B). Vertices (VI) are present on the perimeter segment including the at least four sides, respectively between the vertex (C) with the smallest inside angle among the at least three vertices (V(i)) and one (A) of the two vertices (A, B), and between the vertex (C) with the smallest inside angle and the other (B) of the two vertices (A, B), said vertices (VI) having inside angles larger than the inside angle of the vertex (C) with the smallest inside angle.