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While an optimally packed fractal appears only for a defined value of r, i.e., r opt, it is possible to play the chaos game using other values as well.If r>1 (the point x k+1 jumps at a greater distance than the distance between the point x k and the vertex v), the generated figure extends outside the initial polygon. [5]
trace mode: cross-hair following plot, coordinates shown in the status bar; zooming support; ability to draw the 1st and 2nd derivative and the integral of a plot function; support user-defined constants and parameter values; various tools for plot functions: find minimum/maximum point, get y-value and draw the area between the function and the ...
The value of the line function at this midpoint is the sole determinant of which point should be chosen. The adjacent image shows the blue point (2,2) chosen to be on the line with two candidate points in green (3,2) and (3,3). The black point (3, 2.5) is the midpoint between the two candidate points.
Using point plotting, one associates an ordered pair of real numbers (x, y) with a point in the plane in a one-to-one manner. As a result, one obtains the 2-dimensional Cartesian coordinate system . To be able to plot points, one needs to first decide on a point in plane which will be called the origin , and a couple of perpendicular lines ...
To draw only a certain arc from an angle to an angle , the algorithm needs first to calculate the and coordinates of these end points, where it is necessary to resort to trigonometric or square root computations (see Methods of computing square roots). Then the Bresenham algorithm is run over the complete octant or circle and sets the pixels ...
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Another model, which generalizes Gilbert's random graph model, is the random dot-product model. A random dot-product graph associates with each vertex a real vector . The probability of an edge uv between any vertices u and v is some function of the dot product u • v of their respective vectors.
A story generator or plot generator is a tool that generates basic narratives or plot ideas. The generator could be in the form of a computer program, a chart with multiple columns, a book composed of panels that flip independently of one another, or a set of several adjacent reels that spin independently of one another, allowing a user to select elements of a narrative plot.