this is interesting only to me

"Fig. 5 The plane right-angled triangle's proof of correspondence with the 4-fold, 2-dimensional symmetry in Nature." Ecotecture

Pythagoras rotated this unique type of triangle (with its one right angle) in a fourfold pattern, its longest side facing outward, and so generated the symmetrical boundaries of a perfect square. Then, by a redistribution of the triangles making up the symmetrical pattern, he showed that the remaining two sides of the right-angled triangle structure also generated the symmetry of two perfect squares. And, that these two squares of symmetry are contained within and equivalent to the symmetry of the square of the longest side. (Fig. 5) This is true of all triangles having a right-angle, and not true of any other archetypal geometric structure. (Ref: "The Ascent of Man", Jacob Bronowski)

The validity of science’s natural laws and universal theories, dependent as they are on the plane right-angled triangle, speaks for the correspondence of this geometrical structure with Nature’s symmetry, and the source of symmetry in 2-dimensional space. If there were no such correspondence, then its numerical expressions of the plane right-angled triangle would not have led to subsequent mathematical descriptions corresponding with the laws of nature and universe.

All Is Vibration

All Vibration Follows Universal Law

All Gives All Receives

All Loves



All Vibration

Seeks its own Level

To find any Level

Set forth the Vibration

By Law you Will Go there

By Law it Will come.

v

In Harmony With Universal Law

All Vibration moves as One Flow

Interrupt the Flow only to Find

In This Natural Order thus does it Go

In Forever Passing Through, Divided in Two

Receptivity be the Way of Emptiness

The One calls to Come and Fill

Giving be the Way of Abundance

The One Flows forth to Fill


Always then the Way of the Flow

Dependence on That Which is Above

The Object of Dependence

To that Which is Below

Two will Repel

Two will Attract

Two will Together, Interact

Look then to Four

For All that Need Be

For All Creation

Vibration Be

One.

Two.

One and Two.

Three.

One and Two

Beget Four

Thus Opens the Infinite Door

R. Buckminster Fuller

Paolo Soleri

John Todd - "The bulk of my work has to do with dealing with toxins in the environment, which are damaging to many people."

We define ecological design as "any form of design that minimizes environmentally destructive impacts by integrating itself with living processes." -Sim Van der Ryn, Peter Calthorpe