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2024-06-23 14:24 DarkStoorM  
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I had some fun with computer search for formations, but I mostly got some false positives (I think) :D decided to put them in anyway

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2024-06-23 19:05 dustin  
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wha.... these look very interesting! i wanna start examining those immediately :d

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2024-06-23 19:14 DarkStoorM  
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Hehe, I got two more surprises :D

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2024-06-23 20:10 dustin  
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my bd schedule for next week(s) is hereby reserved! :d

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2024-06-23 20:26 dustin  
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first results: all these 5 constellations have a short loop (period) of 5 frames, so they could be extended versions of known dancing fly formations. further exploration in progress :d

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2024-06-23 20:27 dustin  
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(because ther are several small dancing fly formations which also move left or up and which also have a short loop of 5 frames.)

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2024-06-26 11:25 dustin  
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formation 1 is a "lifted Η-vortex" (3-fly dff) with a 4-fly free rider formation.  
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so this is not a new dancing fly formation, but a new free-rider formation!  
  
trivia:  
| the free-rider formation needs 6 frames from the map to build itself, and during theses 6 frames, there are a lot of interactions, so the basic "lifted Η-vortex" dff can not be extracted from this cave map.  
| the three flies which are going to build the basic "lifted Η-vortex" are:   
1. the Ζ at the bottom-right  
2. the Η between the two other ΖΖ  
3. the Η which touches the leftmost Ζ.  
| the 4-fly free-rider formation inseparable; the formation works only with all (or none) of them.  
  
further results on the other formations in work... ;)

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2024-06-26 20:55 dustin  
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FORMATION 2 IS ALSO NOT A NEW DFF, BUT IT'S THE FIRST FREE-RIDER FORMATION (AFAIK) WHICH IS BASED ON T W O DIFFERENT DFFS!  
  
THESE BASIC DFFS ARE A "Η&Η" (2 ΗΗ) AND A "LIFTED Η-VORTEX" (ΗΗΖ). BOTH THESE DFFS MOVE UP WITH THE SAME SPEED OF 5 FRAMES PER STEP (WHICH IS OBVIOUSLY A NECESSARY CONDITION SO THEY CAN BE PART OF THE SAME WHOLE FORMATION). THE REMAINING ΗΗΖ ARE AN INSEPARABLE FREE RIDER FORMATION.  
  
THE FREE RIDER FORMATION BUILDS ITSELF AFTER 4 FRAMES FROM THE MAP, SO THE "LIFTED Η-VORTEX" CANNOT BE EXTRACTED FROM THIS CAVE MAP. (THE "Η&Η" CAN BE EXTRACTED: IT'S THE TOP-LEFT Η AND THE Η BELOW THAT ONE.)  
  
the starting map for the free rider formation is:  
  
(1Ηu)(2Ηd)(...)(...)  
(...)(3Ηl)(...)(4Ζr)  
(5Ηl)(6Ηu)(...)(...)  
(...)(...)(7Ζd)(...)  
(...)(8Ηl)(...)(...)  
  
here, (...) denotes one empty space, u/d/l/r the facing directions and the numbers are just for distinction.  
1 and 2 are the "Η&Η" dff,  
6,7,8 are the "lifted Η-vortex" dff,  
and 3,4,5 is the free-rider formation (which can only move with the help of the two dffs).

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2024-06-27 10:35 dustin  
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formation 3 is a very interesting one; it could or could not be a new dff, depending on precise definitions! :d  
  
it can be seen as a "lifted Ζ-vortex" (a a dff with ΖΖΗ) plus a 4-fly free rider formation. the special thing, however, is that the role of the Η inside that "lifted Ζ-vortex" formation changes after each period.  
  
i think i'll make an own demo cave once i analyzed all your new formations where i can explain everything better in one comment :d  
  
btw, the whole formation needs 5 frames to build itself from the map, so again, the "lifted Ζ-vortex" cannot be extracted from this map.

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2024-06-29 18:48 dustin  
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formation 4 is  nesdori 's "nest of 7 fflies" plus an extra Ζ&Ζ which doesn't interact with the other 7. so nothing new here.

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2024-06-30 13:40 dustin  
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finally, formation 5 (the bottom one) is another double-free-rider formation riding on 2 dffs! it's one "Η&Η" and one "lifted Η-vortex" (ΗΗΖ) with a four-ΗΗΗΗ free-riding formation :d

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2024-06-30 13:42 DarkStoorM  
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Ha!, so, lots of happy little accidents :D

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2024-07-03 00:09 dustin  
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indeed, all of these will appear on  Arno 's forum soon :d