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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 superformula is a generalization of the superellipse and was proposed by Johan Gielis in 2003. [1] Gielis suggested that the formula can be used to describe many complex shapes and curves that are found in nature.
An alternative approach that uses the matrix form of the quadratic equation is based on the fact that when the center is the origin of the coordinate system, there are no linear terms in the equation. Any translation to a coordinate origin (x 0, y 0), using x* = x – x 0, y* = y − y 0 gives rise to
Still image of a movie of increasing magnification on 0.001643721971153 − 0.822467633298876i Still image of an animation of increasing magnification. There are many programs and algorithms used to plot the Mandelbrot set and other fractals, some of which are described in fractal-generating software.
By construction, all points on the same meridian lie on the same generator [a] of the cylinder at a constant value of x, but the distance y along the generator (measured from the equator) is an arbitrary [b] function of latitude, y(φ). In general this function does not describe the geometrical projection (as of light rays onto a screen) from ...
Bookstein obtains a representation of shape by fixing the position of two points called the bases line. One point will be fixed at the origin and the other at (1,0) the remaining points form the Bookstein coordinates. It is also common to consider shape and scale that is with translational and rotational components removed.
The mapping is non-analytic because its real and imaginary parts do not obey the Cauchy–Riemann equations. [ 2 ] Virtually all images of the Burning Ship fractal are reflected vertically for aesthetic purposes, and some are also reflected horizontally.
A coordinate grid prior to a special conformal transformation The same grid after a special conformal transformation In projective geometry , a special conformal transformation is a linear fractional transformation that is not an affine transformation .