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Author Topic: Strange rhombic pyramids  (Read 1150 times)
rolly_wood
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« Reply #15 on: May 17, 2009, 04:10:43 AM »

ok confirmed: I was wrong. It seems the the RPs for the "les pleiades" need to be irregular i.e. cannot be obtained by a equilater triangular stock. Then the Coffin method described above is not applicable. The dihedral angles between sides which has to be internal must be 60 for the correct matching of 3 pieces, instead that one external must be 63.5 to comply with the dihedral angle of platonic 12 hedron. Sorry for the mistake,... I think this multicoloured pleiades is not so easy to do...

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Canuck
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« Reply #16 on: May 17, 2009, 07:29:54 AM »

That's too bad Sad It would've made a nice puzzle, however a multicolored version would still be possible but the entire end pieces would be made in different woods...still nice Wink  I'd be interested in hearing how you would cut those pieces on a 'chop saw', have you seen that puzzle ('Les Pleiades') broken down in pieces?  I assume the dowels are all loose... Cool
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rolly_wood
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« Reply #17 on: May 17, 2009, 07:55:43 AM »

That's too bad Sad It would've made a nice puzzle, however a multicolored version would still be possible but the entire end pieces would be made in different woods...still nice Wink 
Hi John you mean each 4hedra with its own color? 5 colors in total... Yes it could be nice indeed, it is less symmetric then every face its own uniform color, but fine!
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I'd be interested in hearing how you would cut those pieces on a 'chop saw',

When I found the method I did not believe it could be so simple: prepare a rhombic stock 63.5, 116.5 as that one of vertigon.
prepare a jig with a slot in which to lay down the edge at 63.5.
cut fragments (thick slices) at 31.75 with the chop saw, once in hands and turned appropriately you will recognize the 6-hedra at the vertex of the pleiades

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have you seen that puzzle ('Les Pleiades') broken down in pieces?  I assume the dowels are all loose... Cool
the key problem of the puzzle is to find a ratio thickness/lenght of the dowels and size of the block to obtain an interlocking puzzle despite it is loose: in other words 4hedra composing the puzzle are independent and stay in place just when the bars touch them each others
hoping i am explainig well enough Huh?
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Canuck
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« Reply #18 on: May 17, 2009, 08:17:53 AM »

After looking at 'Dubois' original, started to think perhaps the pieces could be made with two pieces glued together?  Just a thought...
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« Reply #19 on: May 17, 2009, 08:19:34 AM »

I still think you're three color piece version would be best Cool
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rolly_wood
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« Reply #20 on: May 17, 2009, 08:26:52 AM »

After looking at 'Dubois' original, started to think perhaps the pieces could be made with two pieces glued together?  Just a thought...

hmmm I do not think so look at the grain... in any case mine one is with solid end blocks

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rolly_wood
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« Reply #21 on: May 17, 2009, 12:24:48 PM »

After looking at 'Dubois' original, started to think perhaps the pieces could be made with two pieces glued together?  Just a thought...
Again I misinterpreted (probably) what you were asking... YES they could be made and initially I did them in 2 pieces glued together
Did P Dubois make like that for obtaining the puzzle here above? in my opinion No, they seem an only piece of wood.
I need to read posts twice or more in order to understand them, and often it is not enough anyway.... Undecided
 Wink
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Canuck
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« Reply #22 on: May 17, 2009, 12:45:30 PM »

No Rolly, you do very well at interpreting everything I write, sometimes I can't even comprehend myself Grin 

As you said, I agree that 'Dubois' used one wood for his 'Les Pleiades'...using two pieces glued together was just my thought of simplifying the cutting of pieces, but not sure it would Undecided  My tablesaw and 'Chop saw' are both occupied with jigs for my current puzzle so...unfortunately I can't attempt anything along these lines at the moment, maybe in the fall Wink
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"May you find hidden treasures in every pothole, real or imagined, and may your childhood never really end"  Stewart T. Coffin
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