The Hexagon Puzzle - Six Tiles (Solved?)

Preliminary "speculative answer" has been determined - tis 88 - after much consternation - I think this puzzle is solved - it ought be prime but maybe it ain't?

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As its name suggests, this article is a continuation on a previous one as follows:

Please refer back to that for reference.

The purpose of this article is to get a sort of “fresh start” as I pursue the solution to this puzzle been on my mind a long time.

Here is Shape #11:

Had to edit that above - turns out shape 11a was redundant with another already presented - time is 122323 1708 - twas shape 8-e per the link above.

(for reference this was based on shape 2-g presented in a previous article - the base shape 1-5…..then the new shapes are new I think - total is now 66!)

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Here is Shape #12

That is five (5) more - total is now 71.

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Shape 13:

One - 1 more - NOT - to -too more - count is now 72!

So twas a 5 and a 1 to end origin shape #2 - now onto origin shape #3 (after I get that last one done that was missed then found….

(oops - 122323 1932 - there is 1 more shape #2 to consider - corrections made on the fly!) FLUX is moving FAST - (see Shape 5b for redundancy explanation - the other one was redundant with 2b - from previous post) - they both are no longer shown, but I got a copy - do you?

Do you think I’m kidding around?

This might seem obvious - but from a “programming” standpoint I don’t think it is trivial. So here is the “simple” way to program this to contemplate whether a shape being considered is “new” or not - all you got to do is take the 6th shape added to the others and “sense” whether it creates a “shape of 5” already been considered…..if so, the shape is redundant.

Thing is AI is only as smart as how it is programmed - programming geometry is equivalent to programming the game of “Go”, but it doesn’t contain the wisdom of the human mind - tis just code.

So, per that logic, I think I will be able to avoid future “scratches” and I’ll get to the final whole number finite and definitive soon enough!

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Bills are down 10-0. Could be one of those games - here is “Shape #14” - it offers up no new shapes but that is only cause it was the last out of the many in “Shape #2” five-tile combos…had the order been different I’m sure it has shapes to offer up.

The count remains 72 - I know I have a lot of “double-checking” to do - what you think I been doing already? ha, ha….anyhow - I’ll do it. I’m gonna get to the “speculative solution” fore the end of ‘23!

Now - I’m tired and there is a game I’ll watch for a bit….

21-19 as I type it….anybody’s game I reckon

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~~~~~~ tis 122523 1334 ~~~~~~

These are the “base” shapes that will form the possible new shapes 15 - 18.

(the above snippet is from a previous article - it shows “4 shapes” made with 5 tiles that have not yet been assessed……I’m looking at just now - I don’t think there are going to contribute to many “new” shapes…..maybe four of five…. - I hope to find some of them today)

~~~~~ here are three (3….oops, make that 2) more ~~~~~~~

Total is now 74. I’m guessing 83 may be the final total, but I’ll find out soon enough. Maybe 89.

Thing is I knew there wouldn’t be many shapes from the origin Shape #3 (3a - 3d give Shapes 15-18) - just like the last of the Shape #2’s considered had less to offer up cause of the order examined - however, some of the shapes coming up for consideration have less in common with the previous shapes examined - or at least a significant differentiation maybe? - and this might lead to a bit of a blossoming of more new shapes…we should know soon enough!

Shapes 19-21 will stem from the shapes below:

(the above snippet was just “now” edited - literally - cause I’m learning on the fly and making edits quick - I got a puzzle to solve!)

~~~~ Here we go - #19 ~~~~~ freshly placed - not yet edited….

I already know one more shape - a beauty - not yet revealed!

~ Number 20 ~

three more shapes left for consideration - total is now 82.

~~~~~ final edit for the evening - most likely - I think I already see some might be redundant - if they are - I’ll scratch them out - this puzzle ain’t finished and sometimes the solution ain’t evident till you get real close to the “end” and then double-check along the way……

~~~~~ ah - the day tis not over yet - ha ~~~~~

Here is Shape #21

does that make 84 so far?

Two more shapes to go - two more base shapes - then time for double-checking - the answer it at hand.

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A “speculative answer” had already been provided - but I’d just assume get “through” all the shapes - right or wrong - the methodology is sound - the final answer is definitive, fixed, and whole and it cannot be changed.

Oh boy - coming to a conclusion - two shapes left to consider fore double-checking - and these shapes - they make me ponder - I need to “sleep on em”….they are so fine.

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For the “moment” - 122523 2017 - that makes four (4) new shapes.

The total prior to “double-checking” after 23 shapes is 88.

Now - is 88 a prime number? The answer to that is NO.

I know I got some double-checking to do.

~~~~~~ Hey - can you tell the difference? ~~~~~~~

Consider that the “last one” and the one prior a “trial run” - either way - the answer is

EIGHTY 8

89 is not correct - is it 88? I don’t think so - I think it is 89, but maybe I’m biased and I ain’t done double-checking, but here is where I stand presently - and tis consistent in trying to find the solution…..

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(the speculative answer at this moment in time is not eighty-nine - tis 88)

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(closing loops)

I play serious.

to be double-checked!

Time and time again.

BK, 122523 2018

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more evidence (I’ll delete this now at the end of the month of gusto in 2024 - time is 83124 1223) - if you want to see more - and learn about other shape considerations - check out this link:

https://emsnews.wordpress.com/2024/08/23/rfk-jr-and-trump-both-targets-by-crazed-leftists/#comment-940126

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“Awaiting moderation” - moderation by whom I ponder - but no matter - we know already.

Game on!