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For real, complex, and transcomplex numbers

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The wonderful world of the visual mathematics

Since its origins in the distant past, the mathematics has being used as a way to express abstract ideas. Even today, with so many branches and applications of mathematics, scientists, teachers, students, amateurs, and people in general strive to find visual expressions of math  formulas.

4DLab is a new and unique function plotter made specially to draw figures in an easy and comfortable way. 4DLab is a versatile software for plotting mathematical functions of real and complex variables. You can make line plots, wire frames, surface plots, and (1–1) mappings. All of them are visual ways to understand the behavior of the equations with one or two variables.

4DLab can render mathematical pictures in many different ways. Textures can be applied, surfaces can rotated, function domains can be restricted to subdomains, wire frames plotting can be mixed with solid rendering, and much more

See some examples below of what 4DLab can do!

Plot plane curves, even seen from outside the plane!
Plane curve in 3D Plane with grid Classical plane plot
The real trigonometric sin function seen from outside the Cartesian X-Y plane The real trigonometric sin function on the X-Y plane with background paper and bounding grid showing the function extremes The real trigonometric sin function on the X-Y plane with background paper


Written in the Equation Editor as:
Y = Sin(x)		 Frontal view
Grids and background paper on 		Written in the Equation Editor as:
Y = 1/x
Plot 3D Surfaces - with many ways of coloring
Elevation coloring Domain and range intersection Points at infinity
A periodic function that behaves like propagating wave ripples A spherical surface intersecting its own function domain A surface that extends to infinity at undefined points, and its domain
,
, 		,
,
,
Written in the Equation Editor as:
Y = sin(x^2 + z^2)		 Written in the Equation Editor as:
Y = 1 - sqr(x^2 + z^2)		 Written in the Equation Editor as:
Y = sin(x)/(z)
Plot 3D Surfaces - with mapping, or bumps, or textures
Bumps Patterned texture Distance haze
A bump image applied to a surface gives the illusion of rough mountains An image with strips used to simulate a tent An image manipulated produce the effect of distance haze




,

 
Written in the Equation Editor as:
Y = exp(sin(x) * cos(z)) 		Written in the Equation Editor as:
Y = 3 * cos(sin(x) * z)) 		Written in the Equation Editor as:
Y = Exp(Sin(x*z))/2
With 4DLab, plotting complex surfaces are meaningful!
The transcomplex
Quadratic function		 The transcomplex
Quartic function		 The transcomplex
Exponential function
The surface of the complex quadratic function The surface of the complex quartic function The surface of the complex exponential function
 
Written in the Equation Editor as:
U(x, z) = x2 - z2
V(x, z) = 2xz		 Written in the Equation Editor as:
U(x, z) = x4 - 6x2z2 + z4
V(x, z) = 4x3z - 4xz3		 Written in the Equation Editor as:
U(x, z) = Exp(x) * Cos(z),
V(x, z) = Exp(x) * Sin(z)

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