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.
Institute for Figuring (IFF) Mandelbrot set location: (-0.7473198, i0.1084649) with detail (color inset.)
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  Hyperbolic Space Crochet Models for more information.
 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.
Poincare Disc Model of Hyperbolic Space
Image and text above from the website of the Institute For Figuring (www.theiff.org)
Brings to mind topological knots. Images below by Sofia Lambropoulou.
Mongolian knots on stamps