20060921
WEEK THREE
A
Math_1: Load Parametric Seed Data
From the MathSurface library select one Geometric Primitive (Wave, Sphere, Torus, Moebius Strip, Stereographic Sphere, Eliptic Paraboloid, Catenoid Helicoid, Klein Surface, Enneper 2, Enneper 3, Enneper 4)
Math_2: Set up Matrix of Parametric Variation
Starting from the default setting, incrementally and systematically change the surface parameters, assigning one coordinate of change to one axis. The changing surface leaves a 3-dimensional trace of variation. Create as many fields as you need to exhaust all substantial variations while staying within the family of the seed surface. Consider the sequence of fields as the 4th dimension in your investigation.
Math_3: Probe the Space of Possible Variation
Navigate the fields of variation you have generated and select twelve distinctly different surfaces to be assembled in your new MathSurface library. Use the 'save math object data' function to store the parametric data and a preview image of the selected surface. Establish a naming convention starting with the seed as a domain.
B
Duel_1: Explore spatial effects and topological qualities of Civil War equipment.
From a catalogue of Civil War military goods (link below), choose 3 items of one distinct topological family. The chosen items reveal their handling by the human body, the arm, the hand.
Duel_2: Isolate area of spatial effects
In Photoshop, isolate three specific moments (one of each item selected) that demonstrate the topological kinship of the three items.
Duel_3: Let it run
Consider the three moments as mapping material for your selected rewriting system. Use simple operations, e.g. mirror, rotate, scale. Test many mapping rules (some use one moment, others use all), generate several fields. Run the system so that the isolated moments generate a continuous interlocking landscape.
What is Topology?
The Math Plug-In
ARMS etc.
 Erwin Hauer
 Erwin Hauer
 Math
 Erwin Hauer
 Harry Houdini
 Hans Bellmer
 Evan Douglis
.: Jonas 2:00 PM
|