This is the followup of my ABHA Rodin Coil Frame (Phi proportions, 36x36 pattern) design, which can be found at => https://www.thingiverse.com/thing:2710529.
The grooves on the former follow the angle of the wiring.
This design consists of 2 ABHA Rodin coils nested, according to Tom Barnett's research.
This has a 400mm outside diameter 3rd order Rodin coil, with 36x36 pattern, which inside it has a 247mm outside diameter Rodin Coil with a 36x9 pattern, Phi proportioned.
How to route the wire on the 400mm 3rd order coil refer to the above design link. You can find the maths and example calculations in the PDF that is at the files section of this project.The main research into this design configuration can be seen here on Tom Barnett's video link, starting from the actual section that is relevant, https://youtu.be/kxuU8jYkA1k?t=304.
Wire routing on the large one is identical to the 3rd order design with the link above. Of course, you need to build the 1st order, smaller coil first. The wire routing is exactly the same as on the big one, every second groove on the adjacent former/rib, see the colour marked former ending on the relevant photo. On the small 1st order coil the wire routing passes through the centre of the coil 4 times while it goes around it once. On the 3rd order coil, large one, only goes around once in one pass, pattern 36x9. On the large outside 3rd order coil passes through the centre once and goes around once, see images.
Once the inside coil building is completed place in the centre of the large one and use the clips to hold them in place. 3-4 clips will be sufficient to hold the assemble together. See close up image of the clip and how to put it on, last image of the assembly. As you route the wires around it, it will be even more securely locked into position.
All the printer settings and notes regarding printing is identical to the project that has the link above.
If you decide to build this configuration in a smaller scale, I would suggest not to reduce it below 75% of this designs original size.
All parts will fit a 200mm x 200mm print bed.
Update: I provided for the 1st order coil two different version rings for the former. V1 is with 18 former and the V2 is for 17 former.
V1 allows the coil to wind around the torus continuously, images with the yellow winding on the green semi transparent frame.
V2 allows the winding of 9 separate individual coils on the torus which can be experimented with series or parallel coil connections and even vary the coil polarity.This winding is shown on the images with the transparent blue frame 1st order coil and has two different winding colours.
I also included the 9:9, the basic building block, and the 36:36 pattern which will allow you to build and experiment with different map configurations and sizes while modelling the different order coil vortexes.
Just click on the X to enlarge the image and then a link will appear 'View Original'. Click on it and when the image appears right click on it and save the image to your computer.
Nested Rodin Design Calculations & Considerations
If you want to design your own size nested Rodin coils then use the PDF file I created for this purpose. I included 2 working samples in there. You can see the first 2 page images here by click on the X to enlarge the image and then a link will appear 'View Original'.
When working with your own design, start your design planning with the largest coil you want to make and calculate the other dimensions that are nested inside that. The largest will have the smallest inside torus diameter and you need to consider how you can actually wire it. I suggest for the design workflow of example 2 in the PDF which starts by setting the inside diameter of the biggest coil and work back from there.
Because of the drastic inside diameter reduction as we go to the bigger outside coils, the most practical configuration is to experiment with the first 3 nested Rodin coils as on the pictures below. Even the third one can go over a meter or over 3 feet in outside diameter and only having about 90 mm or less than 4 inches of inside diameter which is just enough space for wiring. You will see from the PDF document how the dimensions change, see some example calculation image below from my spreadsheet calculator. See the internal diameter for the largest torus in the different nesting sequence. There is an animation sequence for the 4 nested coils and the biggest only has an 80 mm internal diameter which is barely enough for wiring but the outside diameter is enormous, a bit bigger than the world tallest basket ball player. That becomes impractical, hence I did not go further than the 4th torus calculation in the document but using the formulas any order coil can be calculated.
I also included an image that exposes the formulas in the spreadsheet so you can recreate it easier, unfortunately on Thingiverse not allowed to attach spreadsheet documents, I use LibreOffice which is free and very capable office suite.
The first 3 Phi proportioned Rodin coil torus nested, with vertical section cut.
The first 3 Phi proportioned Rodin coil torus nested, with horizontal section cut.
The first 3 Phi proportioned Rodin coil torus nested, semi transparent with diamond maps.
Example torus sizes for the various coil orders. Calculations start with the internal diameter of the biggest coil in the sequence.
Formulas exposed for the above spreadsheet calculator.
The largest coil has an outside diameter 2322 mm, 91.5 inches, and an 80 mm, 3.15 inches, inside diameter, as above table. While the smallest nested coil has a 548 mm, 18 inches, outside diameter and 339 mm, 13.35 inches, inside diameter. They are shown with the correct coil mapping.
Cross section of the 4 coils seen in the above spreadsheet data.
The first 4 coils vortex interactions
As we know, the Rodin coil can magnetically couple with devices outside of its magnetic vortex. The perfect experiment for this is to get a magnet ball, preferably neodymium magnet, in the centre of the coil, in a container, and the magnet ball will start to spin really fast. Try this spinning experiment with around 25Hz. Spinning may not happen with a large inertia magnet ball if frequency is higher then this. While the coil is still on, remove the magnet with its container from the centre of the coil and you will find that the magnet will still spin 1-2m, 3-7ft, away and more and does not slow down or stops. The spin will not stop up to a certain distance only, of course. I think there are some videos on YouTube demonstrating this effect.
Using this information we should experiment how the external coil interacts with the internal one when the outside, 3rd order, is driven and vica versa. There are many configurations that can be experimented with based on how the wiring is done on the coils, using different frequencies and power.
Expecting that this Phi proportion configuration suggested by Tom Barnett will produce some interesting results with the nested setup.
To my knowledge, there wasn't any experiment conducted with this configuration. Please share your results if you decide to give it a go.
1st and 3rd order Phi proportion Rodin Coils pattern interaction