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Algorithms for Drawing Graphics Primitives on a Honeycomb Model-Inspired Grid
Published in D. P. Acharjya, V. Santhi, Bio-Inspired Computing for Image and Video Processing, 2018
A hexagonal grid can be derived from a square grid. Since designing a coordinate system for a square grid is straightforward, the derivation will guide us in designing coordinate systems for hexagonal grids. A regular hexagon has 6 edges of equal length. As shown in Figure 3.3, if the upper edge is d, then the middle edge is 2d. So the width and height of a hexagon is 2d, 3d $ \sqrt{3}d $ , respectively. The ratio of height to width is approximately equal to 0.8660 : 1. Thus, we should construct the hexagon in a such way that the ratio is close to this value. Since the hardware for a hexagonal grid is not available at present, we can use regular square pixel to construct a hexagonal pixel (Figure 3.4 ).
Joining processes (mechanical connections)
Published in Roger Timings, Fabrication and Welding Engineering, 2008
Hexagon bolts and nuts are normally used for most screwed connections as they provide sufficient convenient spanner positions when tightening or loosening a connection in a restricted space. The cheapest type of bolt is the ‘black bolt’ – so-called because it is coated with a black scale from the forging process. These are made by the up-set forging process and the only machining is for the screw thread which may be cut or rolled. Rolled threads are the strongest.
An old problem with a new twist
Published in International Journal of Mathematical Education in Science and Technology, 2022
Arsalan Wares, Denise Taunton Reid
Let us discuss our solution sketch to problem 2. In Figure 2, polygon C1C2C3C4C5C6 is a regular hexagon because the six circular arcs are rotated around point C by an angle of 60o. Therefore, Ci’s (i = 1, 2, … , 6) are the centers of the appropriate circular arcs. The diagram shown in Figure 3 is a variation of the one shown in Figure 2. We have removed some of the elements and added line segments CA6, CB4, A6B4, C4C5, and C3C4 to the diagram shown in Figure 2 to keep the diagram as simple as possible.