Tuesday, June 01, 2010

Outlining

• GEOMETRY BASICS

• Rhombic Dodecahedron (starting point)
• inscribed cube
• inscribed octahedron
• Concept of Dual
• cube - octahedron
• cuboctahedron
• Angle versus Frequency
• 12-around-1: 10 * F * F + 2 (cuboctahedral numbers)
• 12-around-0: 10 * F * F + 2 (icosahedral numbers)
• virus morphology
• geodesic domes and spheres
• buckminsterfullerene
• VE <--> Icosa (Jitterbug)
• 25 Great Circles (VE)
• 31 Great Circles (Icosa)
• LCD triangles
• Spherical Networks
• vertex, face, mid-edge axes
• poles as +2
• 2*P*F*F + 2 (Coxeter paper)
• Concentric Hierarchy
• A & B modules
• Mite, Sytes, Kites
• Coupler (1)
• Rhombic Dodecahedron and the Coupler
• Coupler in XYZ
• Rhombic Triacontahedron
• toy: Ball of Whacks
• T-E modules
• RT volume 5
• RT volume 7.5 (K)
• RT volume 15 * root(2)
• RT / RD relationship
• Tetrahedron as Unit
• 24 A modules
• Unity-2
• IVM (toothpicks)
• two kinds of voids
• 4 IVMs
• Dimensions
• 4D / 4D+

• GEOGRAPHY BASICS

• Time (space-time)
• clocks
• time-lines
• time codes
• adding into the future, subtracting into the past
• time scales (geological vs. human vs. pico)
• rates of change (ratios)
• Space
• Coordinate systems (including latitude/longitude, degrees)
• Girding/griding the planet (GIS/GPS)
• Length and number (ratios)
• Area and volume
• Objects
• Shapes
• spatial networks (polyhedra)
• plane figures (triangles especially)
• Objects organized in sets
• types of number
• operations with number types
• permutations and combinations (DNA)
• Objects organized in hierarchies
• subtypes (rationals a subtype of real a subtype of complex)
• geometric hierarchies
• biological taxonomies
• APIs: exposing objects to users
• Fractions, Decimals, Percents (rational number type)
• Polynomials (solving, graphing)
• Vectors
• adding and subtracting
• scalar multiplication
• dot and cross products
• Matrices (translation, rotation, scaling)
• Events
• Communications
• Symbol systems and codes
• Energy
• kinetic energy (units, dimensions)
• heat energy and temperature (conversion constants)
• Frequency (links to time)
• color / optics (the spectrum, visible and not)
• Rates of Change
• velocity vectors, acceleration, slope, gradient
• derivative
• anti-derivative (integral)
• Event-triggered objects
• mouse clicks and key presses
• Probability and Permutations