Who Are We? There are many things of interest in the world of technology...well,in life in general. After six years of maintaining this site it all boils
down to this: Do It Yourself. Start by taking control of your mental health with Brain Self-Control as you work towards self-realization and intellectual/spiritual maturation. Learn to play with the Web tools: Photoshop, Fireworks, Dreamweaver, HTML, etc. and empower yourself with graphic design skills so that you can communicate with your world more effectively/efficiently. Furthermore, to succeed within our digitalculture you will need to learn the ethics that drives Web 2.o. With the digital age comes increased responsibility as our knowledge base increases exponentially. Responsibility is the ability of the individual to DIY and thus overcome the learned helplessness instilled by our culture (error 404.) Your creative nature may lead you to explore the world of music...our favorite...art, writing, poetry, history, etc. Regardless of what path you take...just Do It Yourself, and learn to express yourself creatively and non-violently. Learn to deal with what the world/nature throws at you. This site provides you with many of the tools needed to DIYwith the ultimate goal being self-realization and self-sufficiency. You can learn to express yourself with audio recording, digital photography, jazz, the blues, and the arts in general. But, it does not end there, you take ultimate control ofour life within the digital world by learning to maintain your computer system...Mac or Windows...as well as your biological computer system of brain and body. Neuro-tech. Enjoy.
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The image in our logo is an Apollonian gasket. An Apollonian gasket can
be constructed as follows. Start with three circles C1,C2 and C3,each one of which is tangent to the other two (in the general construction these three circles can be any sizeas long as they have common tangents). Apollonius discovered that there are two other non-intersecting circlesC4 and C5 which have the property that they are tangent to all three of the original circles - these are called Apollonian circles (see Descartes' theorem). Adding the two Apollonian circles to the original three we now have five circles.
Take one of the two Apollonian circles - say C4. It is tangent to C1 and C2so the triplet of circles C4C1 and C2 has its own two Apollonian circles. We already know one of these - it is C3 - but the other is a new circle C6.
In a similar way we can construct another new circle C7 that is tangent to C4C2 and C3
and another circle C8 from C4C3 and C1. This gives us 3 new circles. We can construct another three new circles from C5 giving six new circles altogether. Together with the circles C1 to C5this gives a total of 11 circles.
Continuing the construction stage by stage in this way we can add 2·3n new circles at stage ngiving a total of 3n+1 + 2 circles after n stages. In the limit this set of circles is an Apollonian gasket.
The Apollonian gasket has a Hausdorff dimension of about 1.3057 [1].
The beauty of mathematics. |