Halley

[rolly_wood]

someone asked me angles of Halley by Phililppe Dubois. As Peter Kaldeway already published it, there is (I hope) nothing to disclose saying that they are exactly those of triacontahedron on which halley is clearly based. I found some old rough pieces made by the chop saw and put them on the scanner.
Hope it helps...

[Canuck]

Very cool Rolly...I assume you've seen Andrew Gurvey's 'puzzles' album on his facebook page!  He has an original Halley by 'Dubois'...

[rolly_wood]

 
Yes, he plans to dissasemble it and verify Dubois' angles. I trust into geometry  and hope they will turn out the same... but... quien sabe?
 

[Canuck]

I also noticed on 'Nick's Auction' catalog, what he calls 'small Halley' and 'large Halley'    Some have 28 pieces and others 30...it all seems so confusing 

[rolly_wood]

  Some have 28 pieces and others 30...it all seems so confusing 

I agree John it is confusing... I would not have written like that... but, all in all, it seems not wrong, by reading it with the insane math mind.
Indeed when it says 28 identical piece, 2 with extra notch, one must think that since the last two cannot be identical to the first ones (because they have an extra notch) they must be added for a total of 30
Instead when it reads 30 pieces (without 'identical'), 2 with extra notch, it is meant they are included.... different writing style for the same concept 

From my point of view the optimal way to make Halley is 27 identical pieces with 2 notches, + 2 with three + 1 key piece without notches.
It could also be that actually pieces were as baxter describes but the adjunctive third notch (see my piece above) is shallow. In such a case it may help assembling still needing the two main notches also for the key, which in this case is not a key but a standard piece.

It is a mistery... let us wait for Andrew measurements

[Canuck]

Oh okay...that makes sense...so now does Dubois' 'Halley' differ from Cutler's 'Spider's Web' only by the spacing of the notches?

[rolly_wood]

No Sir, spider's web is similar to unnamed #1 because:
1) pentangles are wider and triangles are collapsed like a distorted 12hedron
2) halley has 6 groups of 5 parallel bars, spider has 10 groups of 3 almost parallel bars
3) bar is 45 degrees twisted: in halley "radius" of the polyhedron is parallel to the bar's side, in spider to its diagonal.
Hope to have explained me....

PS to use my ridicolous terminology (sorry for that) notches of halley are 2-ways slanted, those of spider 3

[rolly_wood]

...., in spider to its diagonal.

actually in unnamed #1 to its diagonal, in spider's web seems parallel neither to side nor to diagonal

hope this figure helps

[rolly_wood]

Another difference: role of bars is swapped: in halley pentagles are at the tips, triangles in the middle, in unnamed the contrary.
In halley triangles'sides have a notch in its middle, but not in the pentangles, in unnamed the contrary.

[Canuck]

Thanks Rolly!     You explained that rather well, but I'm embarassed to say, I didn't see all the differences 

[rolly_wood]

Maybe I am wrong and I see 'mirages' in the tentative to understand these polyhedra. Please, say what you do not agree about,  I like to discuss about it even to be shown being wrong (myself I mean)

[Canuck]

Maybe I am wrong and I see 'mirages' in the tentative to understand these polyhedra. Please, say what you do not agree about,  I like to discuss about it even to be shown being wrong (myself I mean)

Yeah right...not likely Rolly 

[rolly_wood]

  OK I left myself be carried away by polyhedral mania ... sorry. Better if someone locks me in a cage .... puzzle, of course