My Library and Courses
Last Update: Sunday July 25, 2021

These Reflections and Speculations Began in October 2011

Speculations, ideation, random thoughts

Evocative Questions: Guesses and musings.
First principles: First-draft written in-and-around 1978
Work-in-progress: A Big Board for our little universe - base 2 scientific notation from the smallest to the largest measurements, the small scale to the human scale to the large-scale universe.


Let Us Study Very Basic Structures

Particularly the five most basic solids: 


These were all carefully mapped by the early Greeks.

Plato (360 BCE) discusses these solids in depth within his work simply known as the Timeaus. Most of us are not very familiar with four of these objects. We all know the square and its cubes or hexahedron. Most of us played with building blocks as children and the cube and its extensions as rectangles are well known to us.

We will observe "cubeness" in many ways throughout this study.

A Re-Introduction of an Old Idea 

Breaking Away From Commonsense Worldviews 

To Relate Scientific and Theological Thinking.

A few basic assumptions:  

1.   There are perfected states within space-time moments.

2.   A perfected state is one defined by a moment of continuity, symmetry and harmony. The experience may be fragmentary or illusive, yet always quite compelling.

3.   This perfection is derivative from a multiverse that is  fundamentally defined by continuity, symmetry and harmony whereby  the experience of space-and-time is  derivative.

4.   There is a transformation point between that which is experienced as space-and-time and that which is the perfected multiverse.

5.   The nexus of transformation defines Planck's constant.

6.   The five Platonic solids are the form of the interface between the perfect and the imperfect.  

7.   The icosahedra and dodecahedra are the forms manifest within the quantum world.  The tetrahedron and octahedron are the forms manfiest within a manifold of a perfect multiverse.  The experience is always  metaphoric.

8. The incommensurable and the irrational measurements and numbers are the the dynamics of this nexus of transformation.  

9.  The twelve dodecahedral faces are in fact each five imperfectly joined, stretched and shaped, tetrahedral forms. 

10.  The icosahedron is twenty imperfectly joined, stretched and shaped tetrahedrons within a cluster.  As a guess, the dynamics of each cluster are the measurements that have begotten string theory. 

An open letter to Dan Schectman

First draft: October 19, 2011  Last Edit:  31 March 2012
Symbolic first emailThu, Oct 20, 2011,10:25 PM to Daniel Shechtman

Basic Scientific Breakthroughs May Now Come Even Faster

Image of Daniel Shechtman, Nobel Prize winner in Chemistry, 2011, Technion University

The Nobel Prize.  Though an exclusive little committee in Norway and Sweden, the Nobel Prize people do have some of the best scientific advisers in the world.  It is worth looking at their selections each year.  It is worth taking time to listen to the lectures of Nobel laureates.

The 2011 Nobel Prize in Chemsity: Daniel Shechtman   The scientific community at first ridiculed and even scorned this man for his work and his conclusions about 30 years before he received the prize.  It took him awhile to sell his concepts and to have enough others replicate his research so others believed.  He stood his ground on simple truths and won on principle.

Multiverse to  Universe   There are bridges waiting to be recognized between a multiverse and this universe.  Shechtman's work is significant because it opens the way to re-examine the nature of the five basic structures of geometry and and their applications from everything from physics to chemistry to biology to our mind.  It is within these simple, basic structures -- the tetrahedron, octahedron, cube, dodecahedron and icosahedron --- we just might find clues to the very nature of the bridges.

Most people do not know these simple structures nor what is naturally and sometimes perfectly inside each of them.  There is exquisite complexity within the simplicity of each.

The icosahedron and five-fold symmetries

Look at the icosahedral structure in light of Shechtman's work

    Red.jpg       Blue.jpg

    Green.jpg      4White.jpg


The icosahedral clusters of twenty tetrahedrons (pictured) have rotational symmetry; however, if the pentagonal form of five tetrahedrons is taken as an operational whole, rotational symmetry becomes far more complex. In one iteration, there are three sets of pentagonal forms (pictures A, B & C) and a set of four tetrahedrons (picture D) and the singular tetrahedron (picture E).  

All of these pictures are of the same cluster of 20 tetrahedrons.

In another iteration, two pentagonal clusters of five tetrahedrons  are balanced and ten tetrahedrons create a circular band that separates them.  Note:  The metallic balls were inserted to remind us of the octahedron within the middle of the tetrahedron.  In a highly-speculative moment, one might think that those centerpoints,  and each of the vertices, represent a transformational nexus to a multiverse.