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[GiF] Shape-shifting ambiguous objects with 3-cylinder intersections

Posted 3 years ago
POSTED BY: Erik Mahieu
6 Replies
Posted 3 years ago

Thanks for all your useful remarks. here is an article by Ioanna Symeonidou of 2016: "Anamorphic Experiences in 3D Space: Shadows, Projections and Other Optical Illusions" that inspired me a lot. There seems to be an endless variety of anamorphic objects and Mathematica surely can help one explore them all!

POSTED BY: Erik Mahieu

Your voxel ambigram is cool! The first view(道?) seems a little busy, but 2nd and 3rd views (江湖) can be clearly recognized for me. Wow, you are playing Chinese font!

As you mentioned, the theorem related the 3 orthogonal projection. If we project 2 faces on 3D cubic, it certainly can be done. But if we project all three faces, some 2D shapes will conflict on certain volume. For me, it’s better to use one-piece of connected 2D shape instead of several separated region. Chinese single-words are usually with a complicated shape than English letter. Good job.

POSTED BY: Frederick Wu
Posted 3 years ago

Hi Fredrick, I don't have any jewelry, nor any reason to give jewelry away.

Though I do like ambigrams, so I made one for my friends in Asia.

The English title of this work is "OLED is Purest RGB, you understand?":

VoxData =   ImportVox["https://0x0.st/-hhx.txt"];
Graphics3D[VoxData, Boxed -> False]
GraphicsGrid[Transpose[Partition[MapThread[Show[Graphics3D[VoxData],
      Boxed -> False, ViewProjection -> "Orthographic", 
      ViewPoint -> #1, ViewVertical -> #2] &,
    {{{0, 1, 0}, {0, -1, 0}, {0, 0, 1}, {0, 0, -1}, {1, 0, 0}, {-1, 0, 0}},
     {{0, 0, -1}, {0, 0, -1}, {-1, 0, 0}, {-1, 0, 0}, {0, -1, 0}, {0, -1, 0}}}], 2]]]

im proj

Surprised this experiment worked so well. It's worth further exploration to see if there is possibly a theorem hiding in there. Have to sleep for now... It's late US time.

POSTED BY: Brad Klee
Attachments:
POSTED BY: Frederick Wu

Cool idea, nice post! Coincidentally @Frederick Wu also recently posted about ring jewelry. As he is the practicing jewelry craftsman he might find this interesting for the future applications. Thank you Erik!

POSTED BY: Vitaliy Kaurov

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