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 Post subject: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 2:28 am 
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This is another series I was bound to complete. It is the Brachio Star-- the icosahedral version of the Dino Star. Since it's bigger than the Dino Star and bigger than the Bronto Star, the name "Brachio Star" sounded good.
Since I got to design the whole thing, it moves nicely and is stable, if a little stiff.
Enjoy!
This is now on Shapeways for about $150 in wsf HERE. You need to order all 3 sub models.

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Last edited by JasonSmith on Sat Apr 05, 2014 11:57 pm, edited 1 time in total.

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 5:43 am 
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Nice Jason. Very, very nice.

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 8:17 am 
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Oh my... What a beauty!!!

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 8:33 am 
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The black outlines give this a really nice look!

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 9:22 am 
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Oh wow what a gorgeous puzzle :D

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 9:36 am 
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Come on Jason, tell us the truth... It's some sort of fruit you got from a tree!!!

What a beautiful puzzle, well done!!!

:)


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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 10:11 am 
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So all pieces are 3D printed correct?

And therefore nothing is taken from the production Alexander's star as with your Bronto Star design...


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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 10:19 am 
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Note to myself:
The shape is a Triakis icosahedron.

Statement for everyone:
It is beautiful!


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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 10:33 am 
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Andreas Nortmann wrote:
The shape is a Triakis icosahedron.
Real triakis icosahedron is a fully convex solid :D

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 11:03 am 
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JasonSmith wrote:
This is another series I was bound to complete. It is the Brachio Star-- the icosahedral version of the Dino Star. Since it's bigger than the Dino Star and bigger than the Bronto Star, the name "Brachio Star" sounded good.
NICE!!!! but is the series complete?

Dino Star = Triangular pyramid extensions on the faces of an octahedron.
Bronto Star = Pentagonal pyramid extensions on the faces of an octahedron.
Brachio Star = Triangular pyramid extensions on the faces of an icosahedron.

Shouldn't there there be a square pyramid extensions on the faces of a cube version? It would amount to an edge only Rubik's Cube I believe. To keep like colored stickered surfaces in the same plane maybe it should be in the shape of a cross cube. Think of it as truncating infinately high square pyramids.

And I haven't worked out the exact geometry in my head but shouldn't there also be a triangular pyramid extensions on the faces of a tetrahedron version? Though to keep like colored stickered surfaces in the same plane again you'd need truncated divergent pyramids.

Carl

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Last edited by wwwmwww on Fri Apr 04, 2014 12:52 pm, edited 1 time in total.

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 11:19 am 
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Very beautiful~This is a very rare time that I think a white puzzle will looks better than a black one.


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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 12:29 pm 
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wwwmwww wrote:
JasonSmith wrote:
This is another series I was bound to complete. It is the Brachio Star-- the icosahedral version of the Dino Star. Since it's bigger than the Dino Star and bigger than the Bronto Star, the name "Brachio Star" sounded good.
NICE!!!! but is the series complete?

Dino Star = Triangular pyramid extensions on the faces of an octahedron.
Bronto Star = Pentagonal pyramid extensions on the faces of an octahedron.
Brachio Star = Triangular pyramid extensions on the faces of an icosahedron.

Shouldn't there there be a square pyramid extensions on the faces of a cube version? It would amount to an edge only Rubik's Cube I believe. To keep like colored stickered surfaces in the same plane maybe it should be in the shape of a cross cube. Think of it as truncating infinately high square pyramids.

And I haven't worked out the exact geometry in my head but shouldn't here also be a triangular pyramid extensions on the faces of a tetrahedron version? Though to keep like colored stickered surfaces in the same plane again you'd need truncated divergent pyramids.

Carl


Yeah, I allowed myself to reject shapes that couldn't be extended with pyramids that aligned with the neighboring faces. Truncation or curviness could extend the group.

Now the tetrahedral version I hadn't considered. But the shape you showed could work!

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 1:12 pm 
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JasonSmith wrote:
Yeah, I allowed myself to reject shapes that couldn't be extended with pyramids that aligned with the neighboring faces. Truncation or curviness could extend the group.
With those requirements, I think you could make a version built with pyramids extended from the faces of a rhombic dodecahedron and a rhombic triacontahedron. Those 2 puzzles would only allow 180 degree turns if they remained doctrinaire. My guess is they could easily jumble but I can't see it in my head without working out the exact geometry. If these jumble, I'd guess there are dozens of jumbling geometries that could be used.

The rhombic dodecahedron version would look like this:
Image

The rhombic triacontahedron version would look like the top middle image here:
Image

Links:
http://mathworld.wolfram.com/RhombicDodecahedronStellations.html
http://mathworld.wolfram.com/RhombicTriacontahedronStellations.html

Carl

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Last edited by wwwmwww on Fri Apr 04, 2014 1:39 pm, edited 2 times in total.

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 1:28 pm 
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Timur wrote:
Andreas Nortmann wrote:
The shape is a Triakis icosahedron.
Real triakis icosahedron is a fully convex solid :D
Timur is correct. Though this shape must have a name. And it does. It is the Small Triambic Icosahedron. One of the many Icosahedron Stellations.

Hmm... reading more... I think Andreas may also be correct. Note this quote from the link above:
Quote:
Wenninger (1989, p. 49) calls this solid the triakis octahedron (which is a term more commonly used for the dual of one of the Archimedean solids).
Can anyone check Wenninger (1989, p. 49)? I think that should say icosahedron and NOT octahedron but I'm not sure.

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Last edited by wwwmwww on Fri Apr 04, 2014 1:57 pm, edited 2 times in total.

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 1:41 pm 
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wwwmwww wrote:
JasonSmith wrote:
Yeah, I allowed myself to reject shapes that couldn't be extended with pyramids that aligned with the neighboring faces. Truncation or curviness could extend the group.
With those requirements, I think you could make a version built with pyramids extended from the faces of a rhombic dodecahedron and a rhombic triacontahedron. Those 2 puzzles would only allow 180 degree turns if they remained doctrinaire. My guess is they could easily jumble but I can't see it in my head without working out the exact geometry. If these jumble, I'd guess there are dozens of jumbling geometries that could be used.

The rhombic dodecahedron version would look like this:
Image

The rhombic triacontahedron version would look like the top middle image here:
Image

Links:
http://mathworld.wolfram.com/RhombicDodecahedronStellations.htmlhttp://mathworld.wolfram.com/RhombicTriacontahedronStellations.html

Carl


Yes, leaving the platonics behind there are some fun possibilities, aren't there? The petals would be small, and favor the inner side of the edges because of the oblong shaped turns. Someone else can take those on! :)

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 2:07 pm 
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JasonSmith wrote:
Yes, leaving the platonics behind there are some fun possibilities, aren't there?
There sure are. And they aren't all jumbling either. Here are a few other doctrinaire shapes that can be used.
Image
Image
Image
Image

By the way... I'm NOT trying to claim these either. If anyone wants to make these feel free. If someone really wants one of these and can't make it let me know and I may help if I can find the time.

Carl

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 Post subject: Re: Jason's Brachio Star
PostPosted: Fri Apr 04, 2014 11:22 pm 
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So Jason, will you now go on a quest to print a version in yellow, red, blue and green to match your Dino Stars?

Dave

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 Post subject: Re: Jason's Brachio Star
PostPosted: Sat Apr 05, 2014 12:02 am 
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No, he's got to print 21 copies in 21 colors for the real "piece swap manufacturing" experience! :lol:


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 Post subject: Re: Jason's Brachio Star
PostPosted: Sat Apr 05, 2014 1:24 am 
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DLitwin wrote:
So Jason, will you now go on a quest to print a version in yellow, red, blue and green to match your Dino Stars?

Dave


HA ha! You know I did think a yellow one would look amazing... But no, I'm done with these.

wwwmwww wrote:
By the way... I'm NOT trying to claim these either. If anyone wants to make these feel free. If someone really wants one of these and can't make it let me know and I may help if I can find the time.

Carl


Same here! I'm not pursuing any of these. Everyone go for it!

And thanks everyone for the posts. Much appreciate your reactions!
J

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 Post subject: Re: Jason's Brachio Star
PostPosted: Sat Apr 05, 2014 11:57 pm 
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Please excuse the bump.

This is now on Shapeways for about $150 in wsf HERE. You need to order all 3 sub models.

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 Post subject: Re: Jason's Brachio Star
PostPosted: Sat Apr 05, 2014 11:58 pm 
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JasonSmith wrote:
This is now on Shapeways for about $150 in wsf HERE. You need to order all 3 sub models.

The other links in the description don't work. Are you sure the models are public?

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 Post subject: Re: Jason's Brachio Star
PostPosted: Sun Apr 06, 2014 12:03 am 
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Darn, I thought "offer for sale to others would make them visible." Do you have to "display to public"? I'd hate to clutter the store. Is that what you do?

EDIT-- I have made them public. If you guys have a trick for keeping your store clean, please let me know!

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 Post subject: Re: Jason's Brachio Star
PostPosted: Sun Apr 06, 2014 12:26 am 
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Beautiful. I love the simplicity and elegance of it. I ordered a print. Maybe one day in a year or two I'll have the time to polish it :? .

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 Post subject: Re: Jason's Brachio Star
PostPosted: Sun Apr 06, 2014 3:20 am 
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Nice puzzle. I think this puzzle has 2 possible solutions. Correct me if I'm wrong. One solution is made by the circle where they intersect(the normal way). The other solution is to the triangle surrounded one color(if possible) where they don't intersect.

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 Post subject: Re: Jason's Brachio Star
PostPosted: Sun Apr 06, 2014 10:50 am 
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JasonSmith wrote:
Darn, I thought "offer for sale to others would make them visible." Do you have to "display to public"? I'd hate to clutter the store. Is that what you do?

EDIT-- I have made them public. If you guys have a trick for keeping your store clean, please let me know!
This has been discussed before. I had the same problem as you and Oskar showed me his example here.
http://twistypuzzles.com/forum/viewtopic.php?p=316144#p316144
You need to make sure you have that key in the link you post. That was how I failed before.

However this seems to be an ideal candidate for triangle reduction. See the thread here:
http://twistypuzzles.com/forum/viewtopic.php?f=9&t=26390
Hmmm... I see you've posted in that thread so maybe this has been tried. But I would have thought it possible to reduce this down to a single model.

Hope this helps,
Carl

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 Post subject: Re: Jason's Brachio Star
PostPosted: Sun Apr 06, 2014 10:59 am 
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Brandon Enright wrote:
Beautiful. I love the simplicity and elegance of it. I ordered a print. Maybe one day in a year or two I'll have the time to polish it :? .
Brandon, I'm very tempted to copy some of your polishing operation here. Sometime when you get a chance PM or email me a list of materials/hardware that you'd recommend and maybe next time you are in the Phoenix area you could walk me through what you do and I could help relieve some of your polishing back log. I'm sure it would help me gain an appreciation of what you do and help me design puzzles that are easier to tumble.
Darren Grewe wrote:
Nice puzzle. I think this puzzle has 2 possible solutions. Correct me if I'm wrong. One solution is made by the circle where they intersect(the normal way). The other solution is to the triangle surrounded one color(if possible) where they don't intersect.
If I understand you correctly the second solution is just "all edges flipped" from the first solution. Correct? One of the parity experts want to tell us if that state is reachable from the normal solved state?

Carl

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 Post subject: Re: Jason's Brachio Star
PostPosted: Sun Apr 06, 2014 12:14 pm 
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wwwmwww wrote:
This has been discussed before. I had the same problem as you and Oskar showed me his example here.
http://twistypuzzles.com/forum/viewtopic.php?p=316144#p316144
You need to make sure you have that key in the link you post. That was how I failed before.

However this seems to be an ideal candidate for triangle reduction. See the thread here:
http://twistypuzzles.com/forum/viewtopic.php?f=9&t=26390
Hmmm... I see you've posted in that thread so maybe this has been tried. But I would have thought it possible to reduce this down to a single model.

Hope this helps,
Carl


Thanks so much, Carl. It's all fixed now. I should have thought to try adding that.

Regarding the number of models, I split out the petals so that I could print them a different color. I have not yet started dyeing on my own.
I split out the core because it was ruining the density discount on the other parts.

I had not considered some of you might be willing to dye on your own, and a single model might be ok for you guys.
Anyone, please let me know if you're interested in that.

EDIT-- The core is too light and ruins the density discount even packed with the petals. But here you can order parts 2 and 3 combined if you'd prefer:
https://www.shapeways.com/model/1842884 ... 3f491af2ea


EDIT-- Thanks for the order Brandon! I almost missed that. I hope you enjoy it.

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 Post subject: Re: Jason's Brachio Star
PostPosted: Wed Apr 09, 2014 3:39 pm 
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wwwmwww wrote:
Darren Grewe wrote:
Nice puzzle. I think this puzzle has 2 possible solutions. Correct me if I'm wrong. One solution is made by the circle where they intersect(the normal way). The other solution is to the triangle surrounded one color(if possible) where they don't intersect.
If I understand you correctly the second solution is just "all edges flipped" from the first solution. Correct? One of the parity experts want to tell us if that state is reachable from the normal solved state?

Carl


Thank you for trying to answer my question. Does any body know if there are 2 solutions or just one? Jason would you happen to know?

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 Post subject: Re: Jason's Brachio Star
PostPosted: Wed Apr 09, 2014 3:41 pm 
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Darren Grewe wrote:
wwwmwww wrote:
Darren Grewe wrote:
Nice puzzle. I think this puzzle has 2 possible solutions. Correct me if I'm wrong. One solution is made by the circle where they intersect(the normal way). The other solution is to the triangle surrounded one color(if possible) where they don't intersect.
If I understand you correctly the second solution is just "all edges flipped" from the first solution. Correct? One of the parity experts want to tell us if that state is reachable from the normal solved state?

Carl


Thank you for trying to answer my question. Does any body know if there are 2 solutions or just one? Jason would you happen to know?

It seems like it behaves like a Dino dodecahedron (Starminx) which can have a superflip position. So yes, there are 2 solutions to this puzzle.

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