Category Archives: mathematics

The Revolution of Pi

Posted by David

A revolution is sweeping the Middle East and in other places in the world. Some are calling for a “Jasmine Revolution” in China. I call for a revolution in modern scientific thought: call it the Revolution of Pi. Science no longer seems to search for truth, but for supporting evidence to uphold false notions. Modern science has nested itself on a crumbling altar. The exact same data can also be nested on a different platform and a very different picture emerges.

I propose three new pillars in science. These were developed out of a challenge from my friend Lisbeth.

1) Types: pre-existence of types – Out of order, emerges order. Most modern scientific thought is based on the pillar chaos theory. It’s the way some scientists explain seeming-randomness without God. Out of that pillar you get, all sorts of misconceptions. Order cannot emerge out of chaos. In every community of organisms there is a directional evolution toward those types.

Pre-existence of types

Pre-existence of types

2) Circle: The circle is the fundamental structure of nature – Infinity does not exist in the natural world, and neither does the finite. Built like a circle, the universe is both infinite and finite and neither at the same time. The human mind can only conceive of this idea by understanding the nature of a circle.

The circle is the fundamental

The circle is the fundamental

3) Life: The fundamental state of matter is Life – Nothing in the natural world is dead or non-living. Everything we touch, see, feel has life. Entropy is a circular of a change of state. Ecology is the fundamental branch of science.

The fundamental state of matter is Life

The fundamental state of matter is Life

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Helix Patterns

Eagles

Eagles

Posted by David

A few years ago I found a little treasure while playing around with some simple math in Flash. What I found was that naturalistic and artistic forms emerge out of the helix (a spiral). By using the following equation, one can find a great many of archetypal forms, as well as just some beautiful patterns.

x = cos(a) + sin(a)
y = sin(a) + cos(a

The simple equation I used sprays in a helix pattern a few hundred dots. The dots overlay each other, sometimes laying out in a traditional spiral form, but other times, the spray of dots produces beautiful interference patterns that resemble naturalistic forms such as shells, stars, taurus shapes, galactic-like structures as well as artistic forms such as rosettes, circles, triangles, crosses, etc.

Interestingly, I found the equation when I was searching for a mathematical pattern on which to base a painting about Genesis 1.2. So, instead to find a math-based tool that produced archetypal forms seemed to be no coincidence. It sure made me smile. What I was provided may have been the solution to a painting intended to describe the universe before there was light, before there was land, before there were stars, and before there was life. In the helix, it seems, may exist the precursors or archetypes on which life is based. Wait a minute, isn’t this similar to what Watson and Crick discovered in the chemical structure of the DNA?

I invite you to play around with the tool and see what interesting patterns you can find.

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