Form, Shape, Trace, Reckon, Calculate, Represent

The Institute for Figuring

To Figure: To form or shape, to trace, to reckon or calculate, to represent in a diagram or picture, to ornament or adorn with a design or pattern.

The Institute for Figuring does not yet have a physical space. Their location in the conceptual landscape is permanently located on the edge of this iconic fractal.mset_forweb.jpg

Institute for Figuring (IFF) Mandelbrot set location: (-0.7473198, i0.1084649) with detail (color inset.)

crochet

Crochet model of hyperbolic plane by Daina Taimina

In 1997 Cornell University mathematician Daina Taimina finally worked out how to make a physical model of hyperbolic space that allows us to feel, and to tactilely explore, the properties of this unique geometry. The method she used was crochet. See [105] Hyperbolic Space Crochet Models for more information.

[105] Hyperbolic Space

[111] It is one thing to know that something is possible, it is quite another to understand what it is. Like the blind man and the elephant, hyperbolic space appears in different guises depending on how we approach it. One way of visualizing this enigmatic space was discovered by the great French mathematician Henri Poincar?. In the Poincar? disc model the entire hyperbolic space is depicted inside a circle.

disc1 Poincare Disc Model of Hyperbolic Space

Image and text above from the website of the Institute For Figuring (www.theiff.org)

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Brings to mind topological knots. Images below by Sofia Lambropoulou.

knots

Escher mechanical trefoils

Berlin

Ancient knots in Berlin museum

mongolia

Mongolian knots on stamps

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2 Comments

  1. DIANA ENGLAND says:

    WHAT THE —L— R U ADVERTISING???????
    PLEASE ENLIGHTEN ME.
    DIANA

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