LandryArt.com
|
|
Artist with 3D Polyhedron
My polyhedra collection exists as both balsa and paper models. I have Balsa stick constructed models that range from the simplistic platonic solids to the elaborate "nested" Archimedian polyhedron. My paper models are much thesame, ranging from simple Platonic solids up through the very elaborate tessellation decorated "enhanced" polyhedra.
I do market my models when attending regional and national math teacher conferences such as the NCTM national meeting and CMC South. If you are interested in direct purchase, information on how to contact me can be found under "How to Purchase". I include for your viewing a variety of what I consider my more interesting models.
 |
 |
|
 |
 |
|
 |
 |
|
 |
|
|
See more Landry models - with close-up
details
THE DECORATED POLYHEDRON
In his lifetime, M.C. Escher did very few three dimensional projects utilizing his tessellations. My work, inspired by the Doris Schattschneider's, "Kalidocycles" workbook, and my interest in spatial geometry represents what I think of as a "Beyond Escher" new direction and innovative use of tessellations to decorate symmetrical spatial objects.
The problems I encountered when attempting to transpose my 2D images to decorate the surfaces of symmetrical 3D objects were quite challenging and required much improvisation and a total different approach to the basic spatial layout substructure to my tessellations. The basic problem to overcome was: How to make one tessellation image's geometry "fit" a variety of symmetry requirements? In other words, how to design a tessellation image with square 4 point or hexagonal 6 point symmetry and transpose it to work as the surface decoration for the Platonic and Archimedian polyhedra.
I resolved the problem by designing my 2D tessellation images with internal geometry that allowed dissecting quadrants or sextants and changing the symmetry ( 4 point becomes 3; 6 point becomes 4 ), which when folded and pasted created 'Elevatum' or 'Invaginatum' units that when placed at the appropriate site maintained my contiguous image. These overlay/inlay units have isosceles triangle 'faces', but equilateral triangular bases. This allowed me to then use the equilateral triangle as the common denominator for all the regular and many of the quasi-regular Archmideian polyhedra. By simply converting regular pentagon faces by permutation (pentagonal pyramid), and hexagon faces (already six equilateral triangles) to equilateral triangle receptor sites. In other words, I convert the various regular and quasi-regular polyhedra to deltahedra.
So, by a combination of making some decorated polyhedra from printed nets, some from printed nets and overlay/inlay and some from printed blank substructure nets which are then enhanced with the surface overlay/inlay, the end results are a contiguous tiled surface image that has no beginning or end, and essentially, extends to infinity.
The problem with the archival quality of the ink jet ink and the paper the decorated polyhedra are made from, has been UV light color degradation and the non-AF paper. Recently I store image components as screen printed versions on Archival Art AF paper, and soon will have available limited editions of the Landry 'Decorated Polyhedra'.