After Radiolarian 10 and 11 both failed, this is a relief. Radiolarian 12 works!

This is getting very deep now, and I did not anticipate that the new corner and the surrounding star arms we gain at Radiolarian 12 would actually help stability, but they do.

Movement is fair, but after the desert I've been through, it feels Excellent!!

The main problem I have seen with the design is that the corners themselves can rotate in place by accident since they are so small. The design would have to be much larger to make them more stable. I think 2-3 times as large would work well. For now, call them trivial corners I guess!

I'd like to take this apart to apply silicone to the inner puzzles, and break-in the interior shells without being encumbered by outer shells before a video, so I'm doing that now. In the meantime, some photos!








Video here.

WOW!!!!!!!
What a relief it must be after crossing your desert
Very, very beautiful.

I counted 370 visible pieces. How many internal parts are hidden?

Superb Jason, a great relief for you after 10 & 11. I can't wait for the video.

It is really amazing what you've done with this whole series!

Also, when increasing cut depths, often new pieces "appear" before any more "disappear". These "in-between" states are more complicated since they have both groups of pieces. With the FTO, are there pieces which appear and disappear before any other pieces disappear? Or are there times when two types of pieces appear before any disappear?

I figured the "in betweens" would be more difficult to build, but as you pointed out, this one is a in-between and it works better than the Radiolarian 11, which wasn't an "in-between" (I think?). Interesting!

It also seems like the larger one-color pieces in the middle of the faces help stability too?

Looks Great!

Are there 3 types of jumbling on this? It looks as if this one, or a deeper radiolarian would have a third jumbling move.

By the way, does the first radiolarian you made jumble?

I really like the extra face and edge pieces. The slice move turning would make for an interesting solving experience - very different from the face turning of the earlier members of series. It's hard to see how much deeper the cuts will go . I hope I can find this puzzle on Gelatin Brain so I can try it.

Wow great puzzle.
May I ask why the small edgewings are much more filleted then the star pieces next to the corners?

I do not want to imagine the image of the completed series.
Imagine its value?

And I am sorry for writing nothing more helpful.

Hey Konrad! There are almost, but not quite, as many pieces hidden. I count 362 visible, and 255 hidden, for a grand total of 617!

rubikcollector123, I had the same thought, since we've crossed over the corners into affecting new faces with a turn, it will likely have a third jumbling move, but I can't visualize it yet. I will check! Yes, my first radiolans (2 and 3 anyway) jumble, but I didn't know it until I read it here.

AndrewG, you are right! I expected this to be worse since it's an in-between, but the new pieces actually helped, which is strange. The large face centers aren't much help, because they are floating above internal centers... which are also floating above internal centers!

alaskajoe, good catch on the filleting difference. The only reasons are that they are very small, so I needed the material just to get a good connection to the foot, and because they're long and thin, so the extra material helps prevent them from spinning. The edge wings are actually pretty huge inside the puzzle, so I filleted them more comfortably.

Sorry if i was unclear, but i was referring to your very first radiolarian, the cornered radiolarian/radiolarian 1

do those jumble?

I don't think so. The cuts are not deep enough to intersect with 6 other cuts.

Look at this poorly edited image



If we turn the yellow face so that the blue highlighted part lines up with the orange highlighted part, the black face should be able to turn next.

Jason, can you confirm this?

Oops, I was thinking of this type of FTI:

In the case you described on the Radiolarian I thought, yes it would jumble. You can use Jaap's Sphere:

After a "turn", 3 cuts are still active:

Finally got around to a video! I hope the bump for this isn't irritating to anyone.


Video here.

My tuning and breaking in didn't help much as you can see. I'm happy to see it moving though. This was a TOUGH one!

I can confirm that no new jumbling direction has appeared. Still just the same 2 options for jumbling.

I'm pretty sure I'm correct in saying you will never see another jumbling angle on a face turning icosahedron. There is only the one jumbling angle present in the geometry. Technically the same angle jumbles at two different depths, so you can make an argument that there are two types of jumbling on the face turning icosahedron, but they both occur at the same angle and the second jumble move has been present on every Radiolarian puzzle since Radiolarian 5 (inclusive).

AMAZING series btw You have dug so deep into the icosahedral web of pieces, it's no wonder no one has dared to follow you

Peace,
Matt Galla

I admire and respect your quest into the completion of the faceturning icosahedron series.
Also, did you do more work on the Radio Star? #11 seems close to impossible, but 12 could be doable. What do you think?
Is number 13 going to be the last one? (deep cut). I REALLY hope you make it! And when you do, that you will take a nice family photo of all of them. If you can put 11 (Nova) back together
Can't wait to see that!

Also I think I speak for all of us in saying that your bump was more than welcome

radiolarian 15 is the last one.

I think it was called radio fathom?

uhh so there are more to come! nice where did you see this list rubikcollector123?

I think it was far back on the post about the radio jam? or maybe jason could post that link here.

I am really enjoying the Radiolarian series! The dedication and effort you have put into it is phenomenal, and I can't wait to see the rest.



Here is the image with the list of puzzles in the series.

-Mark-

Thanks you guys, I appreciate knowing I'm not alone in this quest to the deepest cut.


A more up to date list of the Radiolarians.

Radiolarian 10 (Radio Nova) has been reassembled. I won't redesign unless I get a donor willing to fund a large version. Size is the issue.

Radiolarian 11 (Radio Star) is indeed a failure in its first version. I have designed a new version V2 I'm excited about, but it needs more refinement before I order it!

Radiolarian 13 (Radio Gem) version one has been partially assembled and is not acceptable, but V2 is already in production at Shapeways.

Radiolarian 14 (Master Radio Fathom) is in production, and my fingers are crossed.

Radiolarian 15 (Radio Fathom), it should be noted, is the same puzzle as Andrew's Chopasaurus. So he was the first to hit the deep cut with this geometry, which is amazing. The shells method is starting to get unstable for me in these higher puzzles, so I'll be trying a different method for my version of the Radiolarian 15, and I hope that brings some independence to my effort. (I was torn between naming it the Radio Fathom and Radio Chop. Did I make a mistake?)

Here's a more up to date list of the Radiolarians:

A more up to date list of the Radiolarians.

Wow Jason, I must say this is a GREAT job!
I believe it won't take long to finish this series.

BTW, maybe it's still too early to ask this but I'm just wondering what you will design after finishing the radiolarian series. Will you probably do a ETI or ETD series? That'll be even more carzy!

edit:
After I posted above, I went to check how many ETIs there should be. The number scares me a lot. According to a Chinese cuber's program, the number is no less than 36. That's indeed a bigger challenge.

You really should consider putting some of these amazing puzzles on shapeways. I would save up for one or two

Well. I checked your awesome radiolarians again and I discovered something.
Are we missing these two radiolarians?
One is between 4&5


and the other is between 8&9.


Maybe I've made a mistake though Or you've got some reason to avoid making these two?

Hey LinXiao Xu-

I originally counted 19 possibilities for the Radiolarians, but I discarded 4 of them as being too trivial.

I discarded 0, 0.5, 1.5 and 4.5.
http://www.twistypuzzles.com/forum/viewtopic.php?p=293950#p293950

But I forgot to list 8.5, which I skipped as well. I do remember skipping it because I feared the face center pieces would be impractically small but I forgot to note the skip. Thanks for pointing that forgotten variation out! I suppose that means there are really 20 total, with 5 I have rejected so far.

I must admit 4.5 may someday make the list, depending on how my bank account looks after finishing the main series.

As far as the ETI series, I also counted 36! The series would be very expensive to make and would take years (unless you're Oskar in which case it would take 9 months). In addition, I'm fairly convinced the shells method would not work in practice on that series if the puzzles are human scale.

Hi,Jason
I guess I've missed your post at that time.
Hope to see a picture of the whole family soon!

Well, I'm glad you missed it before, since you caught 8.5!
How did you make your images, by the way?

That's one amazing puzzle, well several amazing puzzles.

Jason,

Have you considered deeper-than-origin versions as well?

Oskar

I'm not Jason, but I think this geometry having each axis be exactly opposite another one precludes any deeper than origin behavior.

Well actually it wasn't me who drew this image. As I mentioned in my post before, it's from a Chinese cuber(Hu Bo)'s programme. What I did was just compare your radiolarians with the ones in that progeamme.

Here is a link of the online version of it. It's part of the mf8 forum. There are also programmes for other puzzles.

http://www.mf8-china.com/Java/QGN20.html

You may choose puzzles and scramble and solve them online.


The website is in Chinese. You may press the words in the red circle to choose puzzles and the woeds in the blue circle to download it.

BTW, if you can't see the FTI after you choose a puzzle, you may need to download Java 7.0(not really sure if it is this version).

Aren't you the same Bram who said that even a bandaged Rubik's cube could have deeper-than-origin behavior?

Oskar

Well if you throw some bandaging into the mix...

I'm still trying to digest that thread!

Am I right in thinking the following would be deeper than origin versions?
1. A version where only a single face can turn at once. Once a turn has started, another cannot begin until the first has finished.
2. A slice turn version.

Is that what you guys see too?

1 is incorrect. That's a non-jumbling version.

2 is somewhat controversial, but the short of it is that slice puzzles in general should probably be considered deeper than origin.

That 4.5 has tiny edges AND the edges have their own tiny points! Wow. If it was any more compelling it would spring into existence on its own merits. Is this version more complex to design than the other members of the series?

Hey Pete! No, to be honest I skipped 4.5 because I didn't find it as compelling. I believe 5 has all the parts to make 4.5.
If there's interest, I'll loop back around after number 15, and see about filling in a hole or two in the ones I skipped.


Hey Bram-

I think you're misunderstanding me. I don't mean a non-jumbling version. I mean a version of the puzzle in which all other faces are probably locked when any one face begins a turn. The way I'm imagining this is that a seemingly shallow face turn in a puzzle like this would bring the core with it, thereby preventing turns on any other faces unless they line up with the inner core. So jumbling might still be allowed! This would be a very strange, exotic form of bandaging, and could result in the puzzle becoming more and more locked up if jumbling is used.
Am I alone in visualizing this? Anyone else see what I'm trying to describe?

Yes, that makes sense, although if you're going to try to do something like that it makes more sense to make the antitrivial puzzle - that is, one which is just the trivial caps plus the rotating center. Then there's very curious locking caused by the core. It would be better to do that with a jumbling-only puzzle though, to make it less trivial, like for example the antitrivial madness.

Hey Pete! The parts you mention (tiny edges with tiny points) are present in Radiolarian 5. I didn't realize the exact parts you were pointing out at first! Check them out there. They exist!

The only difference between 5 and 4.5 is that one face part type from Radiolarian 4 barely remains. After finishing a quick investigation, it's definitely possible without too much hassle, but it would have to be a larger puzzle. That's enough to make me again want to focus my remaining cash finishing the others in the series first.