Hello,
Is it possible to fill the area under the graph with some colours like in this example from below?
So, from
with some colour
and from
with other colour
Mathcad Prime 8 file attached.
ACCEPTED SOLUTION
Accepted Solutions
Maybe that way
I had not done so, but actually the color fills should be placed in the plot first and only then followed by f(x) and f(X) so these would be on top and visible!
You may wonder, why the usage of Fill() required the argument
This is because my Fill() function is designed to shade the area between the graphs of two functions, not necessarily between the x-axis and one function. So this expression simply is the function for the x-axis.
No, at least nothing which would be really useful and practical
Here something of very limited use which I don't consider useful and would not recommend
Use white background and stem plot in white where necessary.
To fill the whole center part in red as in my previous answer, you would have to use three ranges, six traces and must additionally determine the zeros (+- pi in this example) of the violet curve. Nothing I would consider using!
In case its not fully clear whats actually going on here, the same plot again, but the second and third trace colored differently.
Of course the first four traces are stem plots
BTW, I won't use the slow chart component for various reasons but if you are somebody who likes it, you may give it a try and use its Traces Style:Area. Not sure how capable it is, though.
One last remark - if you really want to dig into the depths of shading regions using Primes native plot, you should study the comprehensive 30-page (nothing of value comes easy) worksheet of Prof. Byrge Birkeland.
You may know his outstanding work on "Amazing Images" for real Mathcad:
Here some appetizers from his work on shading areas in Prime:
The attached file stems back from 2013, so I guess its in Prime 2 format.
Have fun!
@Cornel wrote:
I do not understand how you did this. Can you attach a Mathcad Prime 8 file? Or some pictures?
I don't understand your question!? ttokoro was just showing the picture you posted.
The case he posted is the only one in YOUR collection which used the trick with the column trace in white and the white plot background which I had shown here -> Solved: Re: How to fill the area under the curve with colo... - PTC Community
So it not clear why you ask him how he did it!?
EDIT: Ah! I had not looked at your sheet and thought you were just asking what we think about this method but I now realize that you used a paint program for that pic and asked how this could be done.
The answer is: Exactly how I showed and explained it in the aforementioned thread!
The attached Prime 6 file should make it clear, I hope.
As I already wrote I dislike the usage of the range and stem plot to be used for hatching a region but it seems that its the method you like most, so use it if it fulfills your needs.
I think the Mathcad file that you have posted right now is made in Prime 9, not in Prime 6 🙂. But anyway, if you have more ideas on filling the area between 1 function and x axis, 2 or more functions, or other combinations...then post them here 😁. Thank you.
@ttokoro
How to do for these 2 for example?
if you have more ideas on filling the area between 1 function and x axis, 2 or more functions, or other combinations...then post them here 😁.
For simple fills I would use the already posted fill() function and for more sophisticated hatches the functions from Prof. Birkelands work.
How to do for these 2 for example?
Thats easy! You have just two constant functions. You may do similar as in the last example shown in the first file I posted
use range variable from 0 to 5 for your first and from 5 to 10 for your second example.
You have to use two stem plots and color them both the same to create what looks like a continuous surface similar to what I did in the following example with the red filled area
@ttokoro wrote:
Your worksheet Hatch has an error. Not 1i*delta x but i*delta x as shown below.
????
Its not clear what you mean?
Your posting is a reply to a post of Cornel where no worksheet was attaches at all. I also can't remember that he posted a worksheet which used a hatch function as he seems to like the method using ranges and stem plots.
The Hatch routine you show is basically the function which I posted here
Solved: Re: How to fill the area under the curve with colo... - PTC Community
and named Fill() (because hatching is rather filling with visible separate lines, I guess) but I can't spot the error to write about.
So which file with an imaginary unit 1i instead of i are you referring to?
EDIT: I found it! Its attached in another post of @Cornel but he never used it -> Solved: Re: How to fill the area under the curve with colo... - PTC Community
I would also suggest applying a twist similar to what Luc had shown so its not necessary to define constant functions if we just want to limit our fill area horizontally. For demonstration purposes I used two different ways here:
This function now can be used that way:
BTW, omitting the variables F1 and F2 and using Fill() (or Hatch() in your picture) twice at the x- and y-axis is a bit inefficient as the function has to be called twice at the only benefit to spare one variable 😉
Sure, the same effect can also be achieved using ranges and stem traces, but editing the plot is MUCH more work!
I just notice in the pic that I still edited not enough as I seem to have forgotten to remove the point/Symbol at the second trace 😉
@LucMeekes @Werner_E @ttokoro
So, from my understanding, all above functions that you posted so far are for the following 2 variants:
So, for the variant when someone wants to fill with colour the area between one function f(x), two points given on the x-axis x1 and x2, and x-axis (0 line). or for the variant when someone wants to fill with colour the area between 2 functions f(x) and g(x) and 2 points given on the x-axis x1 and x2.
But when someone wants to fill with colour the area between 3 functions f(x), g(x) and h(x) and only one point given on the x-axis x1 or when someone wants to fill with colour the area between 4 functions f(x), g(x), h(x) and t(x), then is it possible something like that?
Have you seen my posting at the other thread about shading/coloring/filling/hatching
As Luc also wrote, you should have a look at Prof. Birkeland's work. And for simple dot filling which can also be turned into a plain fill by using a lot of dots (similar to the aforementioned filling with a lot of close vertical lines) you don't have to walk through the 30 pages, all you need is the very first (and very short) function Dots(). If you want to hatch an area by lines (not necessarily vertical or horizontal) or by a family of sines, or other families of curves, you have to use the other two functions he provides.
No matter what the boundaries of your region are, as long as you can set up a boolean function which determines if a point is inside the region or not, you can fill that region using his utility functions.
The Birkeland file was posted here for Prime and for real Mathcad.
