GEOMORPH – Everything Changes When Mathematics Meets Art
“If we adopt a more open ended approach, we can explore geometrical space in new ways, and turn geometry into a medium of discovery”
Exhibition: The first Geomorph exhibition will be at The Leonardo in Salt Lake City, the city’s science and art museum. Have just about completed the process of creating material for the October, 2012, exhibition and workshops.
GeoMorph will present a new approach to geometry – with HD animations, dynamic models, digital interactives, and printed media.
Geomorph’s geometries are dynamic – where everything moves and changes: (i) Space-efficient, close-packing spheres, transform into new clusters, generating new 3D structures. (ii) Polygons connect and rotate about each other to create amazing shape-changing forms. (iii) Geometrical lattices interact to generate an, almost, infinite number of designs and patterns.
Applications for these new geometries might be off-planet dwellings, new nano-structures, more energy efficient architectures, or new art and design forms.
Other dynamic geometries will also be shown with presentations to show how geometrical ideas have evolved historically. I plan to run workshops and give lectures to accompany exhibitions: (i) Shape Changing Geometries for Architecture, Math, and Science; Geometry Through Time – looking at the cultural applications of geometry through time in art and architecture.
1. Multiple HD Flat Screen Animations of dynamic geometries – these art forms are all created using geometrical systems. See, the examples below and Posts for short extracts from a few of the many dynamic HD animations that have been produced. The short extracts below are in low res and you have to imagine high res animations on a very large HD flat screen monitor! The first animation below is created with lattices from a close packing sphere arrangement. The second is a short extract from one sequence of close packing spheres as they transform from one packing into another. Press The Images Below To See Low Res Animation Clips:
2. Three-Dimensional Structures that Change Shape. These are a family of structures that are modular, and repeat indefinitely, but also have the property that, if a force is applied to one part the structure, the whole transforms from one symmetrical arrangement into another. The structures can be small or very large – large enough to walk into, see the image on the left below. Click the second image below to see a movie clip that shows just one of the transformations possible. Press The Right-Hand Image Below To See A Clip from a short movie showing the transformations of one of the structures:
3. 3D Structures Based on Dynamic Sphere Geometry Lattices. Of the other three-dimensional structures that will be exhibited some are based on lattice structures generated by the Dynamic Sphere Geometry I developed in the late sixties. See an example of a sphere lattice structure, below left, based on a phi sphere packing. Press the image, below center to see an article (PDF) about Nancy Stetson’s art studio in Boulder, Colorado, that uses one of the close packing sphere groups generated by the Dynamic Sphere Geometry. The inner dome is based on a unique close packing of spheres, of whole number values, that focuses sound in unique ways to enhance perception. The original design also featured colored blinds to change the color of the light filtering into the room. The image, below right, shows one way in which lattices can be derived from close packing spheres.
4. Art pieces. These are large high resolution prints of geometrical designs some black line and some in color. Limited editions will be available for sale.
5. Animations of images seen in Altair and Images designs. For examples of extracts from animations please see Posts.
6. Exhibition of images seen in the Altair and Images Design Books – from around the world.
Press The Images to see Animation Clips:
7. Section on “Geometry Through Time.” A visual presentation of geometrical systems found in various cultures through time – with a section on a possible new type of geometry for the future. See, the “Geometry Through Time” page on this website.
8. Lectures / Workshops - on geometrical systems and how they were applied to art, architecture, and designs in the past – and how they might be applied in the future. Depending upon the audience the mathematics behind the various geometries can be shown.