How FF Kaleidoscope component works? How creates the output given?

I have used already many times the very good FF kaleidoscope component and also some filters based on this BUT now I wonder HOW does this Kaleidoscope component works?

How does it make the output from the source image input?

Reading the Kaleidoscope FF Help Page

Quote
From this page above The Kaleidoscope component generates a kaleidoscopic pattern based on the image provided by the Source input. Internally, the component 'cuts' a polygonal fragment (the base shape) from the source image and distributes it across the output image to form the pattern

Quote
Mode: Numeric Input Defines the form of the base shape and the way its copies are aligned and distributed across the output image. The following modes are available: Square, Triangle 1, Triangle 2, Rhomb 1, Rhomb 2, Rhomb 3, and Hexagon.

So it seems that this component depending on the mode sel ected (Square, triangle, etc.) will take the part inside the shape of the mode and use this to multiply it many times to create the kaleidoscopic pattern.

But what I wonder is HOW is this shape overlayed over the source image to take that bit of information for the kaleidoscope effect?

What size, rotation or angle does it take the mode shape sel ected so you can get the output result fr om this component?

Here below I have put an example of a source image in the background and a Rhomb shape that is cut and selected fr om the source image to build the kaleidoscope image

Here is one of the tutorials for Photoshop I have told above and is explained clearly how to do the kaleidoscope effect MANUALLY yourself and shows how is done the triangular cut as shown here above and then fliped and duplicated

How to Create Kaleidoscope Patterns from Your Photos

Is this way the angles way that Yuya have said and that FF kaleidoscope component does not work this way?

MULTI TRIANGLES SHAPES

Then I have found another way to make kaleidoscope effect images using multi triangles shapes using a specific software called "Kaleidoscope Kreator 3" wh ere it uses this kind of triangles shapes taken from the source image and duplicated and rotated as shown here below

Would be possible to make this kind of kaleidoscopic images with multi triangles in Filter Forge?

TESTING HOW REALLY WORKS FF KALEIDOSCOPE

I have thought that there is one way to know and test how does really work the FF kaleidoscope component, and is by making a specific image source where you can really know what happens when it is feed into the FF Kaleidoscope

I have made this test image that includes text and lines clearly defined, so I can know then what happens inside and how is the output processed and then discover how it works

I will make some tests and will put the results to discover how it works