Thursday, May 19, 2011

Geometric Manifolds for Hyperbolic: Reefs, Rubbish, Reason

Yesterday seven of my works started their way to Los Angeles where they will part of the exhibit Hyperbolic: Reefs, Rubbish, Reason.  The show curated by The Institute For Figuring will be held at Art Center College of Design in the Williamson Gallery, June 6-August 21, 2011. The IFF has decided that it will  be the last major Reef show they do and at the same time it'll be a homage to hyperbolic geometry.










Why there are more than seven pictures? Manifolds come in different forms and shapes and we have to train our eyes to recognize them, so - which are the seven different ones?  
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6 comments:

  1. ievaMay 19, 2011 at 9:22 AM

    Varbūt 1. un 5. ir it kā vienādi, bet 6. ir vienāds ar 2. vai 3. vai 4.?

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  2. dobarahMay 22, 2011 at 10:49 AM

    I enjoy your work and share it with my 7-12 grade students in my rural Montana mathematics classroom. I'm planning on upgrading my knit mobius strip hall passes to include a hyperbolic manifold. Thank you for the inspiration!

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  3. Daina TaiminaMay 22, 2011 at 1:22 PM

    Ieva - you are right about No.1 and No.5 to be the same. No.7 and No.9 are the same also.

    Dobarah - thank you for letting me know that my ideas are used in rural Montana! Send me a picture of your display!

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  4. AnonymousJune 30, 2011 at 6:42 AM

    Do these also have particular or familiar names or are they just known by their radii of curvatures? Very pretty! Happy crocheting!

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  5. Daina TaiminaJune 30, 2011 at 9:46 AM

    they are all geometric 2-manifolds with the same radii - originally all pieces looked almost the same - difference just in sizes, then they were transformed in the shapes you see. It shows that on the surface of these manifolds hyperbolic geometry holds.
    I do wish I could do more crocheting but now for a while I should not touch crochet hook - I am recovering from "tennis elbow" and "baseball shoulder" - I guess crocheting is as athletic as these sports :-)

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  6. AnonymousAugust 25, 2011 at 12:02 AM

    Hi there,

    I am currently doing my Year 12 Art Visual Study (in Australia). I have to study other artists and create my own interpretations of their works. I am also a specialists maths student, so I decided to focus my visual study on "Maths in Nature", and I would very much like to use some of your work for my examples of hyperbolic geometry in sea creatures. As I need to reference my artists and the names of their pieces, I was just wondering what the title of this series was? Is it just Hyperbolic: Reefs, Rubbish, Reason?

    Thank you very much,
    Jessica Pickworth

    email: jessica.pickworth@ntschools.net

    ReplyDelete

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