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 Post subject: Design request: Lorente's Florid Sphere
PostPosted: Thu May 15, 2008 1:55 pm 
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In July 1982, Douglas Hofstadter wrote an article in Scientific American about twisty puzzles.
Apart from the known twisty puzzles, he also referred to planar puzzles with intersecting circles.
As a further development of that, he presented a puzzle which he called “Lorente’s Florid Sphere”.
I do not think that this puzzle was ever made, but it certainly looks very nice.

I recently had another look at this puzzle.
It appears to me that the puzzle consists of 12 curved edges and 8 curved triangles.
Rotating of the circles can be done over angles of 120 degrees.

The combination of 12 edges and rotating over 120 degrees immediately creates a link to the Dino puzzle.
Taking the 8 curved triangles into account creates a link to the Rainbow Cube (or the Rainbow Octahedron).

It appears to me that it should be possible to convert the Rainbow Cube into a Lorente’s Florid Sphere, possibly by means of just two add-on pieces in a similar way as Lee Tutt designed the end-piece for the Rainbow Cube to create the Rainbow Octahedron.
In other words, an adaptation of Lee’s end-piece + an add-on piece for the ‘triangles’.

Who is the first to come up with a design for this?

Good luck,

Geert


Attachments:
Lorente's Florid Sphere ScAm July 1982, p18.jpg
Lorente's Florid Sphere ScAm July 1982, p18.jpg [ 13.57 KiB | Viewed 1839 times ]
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 Post subject: Re: Design request: Lorente's Florid Sphere
PostPosted: Thu May 15, 2008 2:11 pm 
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Reminds me of this puzzle: http://bbs.mf8.com.cn/attachments/dvbbs ... 676223.jpg
I remember it was posted to this forum too, but I can't think of what to search for to find threads by the maker.

edit:
viewtopic.php?f=9&t=8069
The same guy.

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 Post subject: Re: Design request: Lorente's Florid Sphere
PostPosted: Fri May 16, 2008 10:36 pm 
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I have an interesting idea. I think this could be made out of a skewb fairly easily. Glue the 8 triangular pieces on top of the 8 corners of the skewb and the 12 curved pieces on the 12 edges of the skewb. The movement would be perfect.

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 Post subject: Re: Design request: Lorente's Florid Sphere
PostPosted: Sat May 17, 2008 12:55 am 
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No, this cannot be made out a skewb--wrong cuts.

However, it can be built as a custom 8-axis mechanism that can be built off of a standard yellow DIY 333 cube core. The resulting mechanism would indeed be that of a dino / rainbow cube.

I'll post the .stl files for the puzzle in one or two weeks.

Cheers!

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 Post subject: Re: Design request: Lorente's Florid Sphere
PostPosted: Sat May 17, 2008 6:58 am 
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Hold on, maybe i'm seeing this puzzle wrong. Tell if this is right:
the centers of rotation are the 8 trangular pieces. As they turn, they take the three lemon shaped pieces that they touch along with them at intervals of 120 degrees. Every lemon piece is shared by two triangles.

I drew my skewb idea with the two types of florid sphere pieces glued onto the skewb in this picture. i really think it could work. On a skewb the centers of rotation are the 8 triangular pieces. As they turn, they take the three edges that they touch along at intervals of 120 degrees. Each edge is shared by two triangles.

The two seem very similar to me. Please explain why it would not work.


Attachments:
florid sphere from skewb.JPG
florid sphere from skewb.JPG [ 21.28 KiB | Viewed 1013 times ]

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 Post subject: Re: Design request: Lorente's Florid Sphere
PostPosted: Sat May 17, 2008 7:54 am 
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dannyb21892 wrote:
The two seem very similar to me. Please explain why it would not work.

When you turn a skewb, it will bring 3 other corners along with it. That is why it is not possible. You need to turn only an individual corner.

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 Post subject: Re: Design request: Lorente's Florid Sphere
PostPosted: Sat May 17, 2008 8:11 am 
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wow i feel stupid :lol:
can't believe i missed that.

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 Post subject: Re: Design request: Lorente's Florid Sphere
PostPosted: Sat May 17, 2008 8:18 am 
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I think I see where danny is coming from. at first I thought it could be done with a skewb as well because its just the tip of one of the axis that needs t turn, we'd need 4 other floating center points to hold the other lemons. it could be done, but its more stable to make a custom core. but the skewb is still very possible

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 Post subject: Re: Design request: Lorente's Florid Sphere
PostPosted: Sat May 17, 2008 4:52 pm 
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Location: Seed-nee
Sorry, no. Check it out;

skewb / puzzle ball / H-M pyramid / etc...

dino cube / rainbow cube / Lorente's Florid Sphere / etc...

The skewb mechanism is a 4-armed affair, while the requested one is has 8.

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