The first Big Board-little universe chart, December 2011

Scroll down below these basic geometries to see the listings within this original chart.
Tetrahedron Hexahedron Octahedron150 ______ Dodecahedron151 Icosahedron151
Start in the center-left column below. All units of measurement are based on the Planck Length. On the left going down the numbers are divided 101 times by two until the measurement is the Planck Length, considered the smallest unit of a length. In the center-right column, the same measurement is multiplied by two. In 101+ steps we are out to the edges of the observable universe. Assume the simplest three-dimensional form defined by the fewest number of vertices is the tetrahedron. Notice how the the basic Platonic structures nest within each other. Necessarily all structure of every manifestation within the known universe can be interrelated. There are blanks for students to find answers from examples within their studies, especially biology, chemistry, physics, astronomy and astrophysics. Students are also invited to correct mistakes.
Basic Questions and Structures, and Form-and-Function: Could all structures be in some way derivative of the five basic solids discussed by Plato and the Greeks (circa 360 BC)? If that concept is taken as a given, then questions about form and function can be re-engaged. Perhaps base-2 exponential notation is a place to start. Though apparent throughout the sciences, these five basic solids have not been used to develop an integrative model for human knowledge. Perhaps this is a step in that direction. Most academics today cannot tell you what is most simply contained within a tetrahedron or octahedron (by dividing the edges in half and connecting the vertices). Pictures below illustrate some answers. It seems that simple mathematical operations can still open new paths and logic to explore. More
Tetra151 Cuboctahedron151 Octahedron151 ___
GENERAL
DISCIPLINES
(and Scale)
PLANCK NUMBER. EXAMPLES
(within ±50%)
DECREASING IN SIZE, Get smaller, divide by 2 (Center left column) ___
INCREASING IN SIZE, Get larger, Multiply by 2 (Center right column)
PLANCK NUMBER. EXAMPLES
(within ±50%)
GENERAL DISCIPLINES
(and Scale)