2D and 3D graphics related to the sinc function

After having explored calculus results related to the sinc function , here are a few 2D and 3D graphic results.

I’ll start with the integral :

integral of sinc

The graph of the function above is (made with Mathematica):

sinc functionWe’ll consider more than one way to graph this function in 3D.
First , by taking a specific function of x and y and using the following Mathematica code :

 sinc-sq
We get the 3D result :

sinc 3 d function
We can use the RevolutionPlot3D buit-in function in Mathematica to get the graph of the solid obtained from the function by revolving around the z-axis:

solid around z-axis code

sinc function z-axis
The graph of the solid obtained by revolving about the x-axis is:

sinc function x-axis
The Mathematica code for the graph above is:

code for solid x-axis
And the graph of the solid obtained from the function by revolving about the y-axis is:

3d graph about y-axis
The Mathematica code for the graph above is:

code for graph about y-axis
Next is a comparison  between the 2D graph and the 3D graph of the function sinc(tan(w)):

sinc tan
Below is a  set of six 2D graphs of sinc as a function of hyperbolic trigonometric functions:

2d sinc hyperbolic trigMathematica code for the graphs above( rd will be used in the 3D graphs later):

sinc 2d hyperbolic trig

Here are the six 3D graphs related to the above six 2D sinc graphs:

group of 3d sinc functions  trigonometric

And the Mathematica code for the 3D sinc graphs above:

sinc-3d-test-gen

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