Horizontal Expansion Cura

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• Horizontal Expansion Curacao
• Horizontal Expansion 3d Printing

How to Do Horizontal Expansions or Compressions in a Function

Let y = f(x) be a function.

In Cura 4.6 there will be a 'horizontal expansion' that only applies to holes. It's also not a complete solution since it will not apply to inner circles that have an opening on one side, but it will be an effective compensation measure for screw holes and the like.

In the above function, if we want to do horizontal expansion or compression by a factor of 'k', at every where of the function, 'x' co-ordinate has to be multiplied by the factor 'k'. Then, we get the new function

y = f(kx)

The graph of y = f(kx) can be obtained by expanding or compressing the graph of y = f(x) horizontally by the factor 'k'.
It can be done by using the rule given below.

Horizontal Expansion - Example

Question :

Step 4: Adjust the Horizontal Expansion setting in Cura. (By default this option is hidden, to unhide this option, follow these simple steps) Click Custom on the upper right; Click the gear in the Shell dropdown. (when your mouse hovers near it, it will appear) Scroll down a tiny bit and check the box next to Horizontal Expansion. Bridges on the left, and the right is an increasingly proportionate overhang In this guide we'll explain how to defy gravity and pull off those hard to print objects without resorting to needing hard-to-remove support structures. Read on to learn our best 3D printing overhang tips and experience based advice on solid bridging. You'll be printing the 8th wonder of the (3d. Horizontal expansion should be used when print have a systematic deviation from the actual model size. A 20 mm or 100 mm box print as 20.4 mm and 100.4, you can use a horizontal expansion of -(0.4/2) = -0.2 mm. $endgroup$ – 0scar ♦ Jun 19 '19 at 6:42.

Perform the following transformation to the function y = √x.

'a horizontal expansion by a factor 0.5'

And also write the formula that gives the requested transformation and draw the graph of both the given function and the transformed function

Answer :

Step 1 :

Since we do horizontal expansion by the factor '0.5', we have to replace 'x' by '0.5x' in the given function y = √x.

Step 2 :

So, the formula that gives the requested transformation is

y = √0.5x

Step 3 :

The graph y = √0.5x can be obtained by expanding the graph of the function y = √x horizontally by the factor 0.5.

(x , y ) -----------------> ( 0.5x , y )

Step 4 :

The graph of the original function (given function)

Step 5 :

The graph of the function in which horizontal expansion made by the factor '0.5'.

How to sketch the graph of the function which is horizontally expanded or compressed ?

Let 'y = f(x)' be the given function and (x , y) by any point on the graph of the function y = f(x).

If we want to perform horizontal expansion in the graph of the function y = f(x) by the factor '0.5', we have to write the point (x , y) as (0.5x , y).

That is, 'x' co-ordinate of each and every point to be multiplied by the factor 0.5.

Therefore, any point on the horizontally expanded graph will be in the form of (0.5x , y)

So, each and every point to be changed according to (0.5x, y) and plot them on the graph.

After having plotted the points, if we connect all the points, we will get the horizontally expanded graph.

The same procedure to be followed for horizontal compression.

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20x20x10mm square for adjusting 'Horizontal Expansion' setting on Cura.

Initial Layer Horizontal Expansion Cura

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Horizontal Expansion Curacao

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Horizontal Expansion 3d Printing