dripping with golden ratios."
“They're arranged in three concentric spherical shells. The outer hull, the most complex, is the dodecahedron (bronze) and icosahedron (silver). The solids are in dual position, showing that they have the same symmetry, and sized so their vertices all lie on the same sphere. The second hull is the cube (bronze) and octahedron (silver), arranged likewise. And the innermost is two tetrahedra, one in each metal, showing that this four-sided solid is self-dual. This makes it twice as excellent as any other Platonic solid.”
For more in-depth information on the subject of triangular pyramids, tetrahedral numbers
and duo/do-decahedrons - just follow those links and explore away with Wolfram|Alpha.
an "eternal beta" in true Web 2.0 style, but decided to let it stand as is and start working on future projects. Many of my future videos will address the last 30 seconds of this video (the "rethink ..." part).
Thank you all for the helpful comments on the earlier draft. It has been a great experience to connect with so many people interested in
Once again, there are higher quality versions available for download:
Windows Media File (55 MB):
Quicktime File (96 MB):
Mojiti Version (for comments, translations, etc.):
This work is licensed under a Creative Commons
Attribution-Noncommercial-Share Alike 3.0 License. So you are welcome to download it, share it, even change it, just as long as you give me some credit and you don't sell it or use it to sell anything. I received many more positive comments than negative about the song choice (great work Deus!), but if you are one of those who does not like the song just download the video and change the audio track to your liking.
The video was created by me (Michael Wesch), working alone from my house in St. George, Kansas. I used CamStudio for the screen captures and Sony Vegas for the panning/cropping/zooming animations. Someday I might make a video tutorial for those who are interested.…
ion at Hand and the inevitable question proposed - What Infrastucture? - I would draw your attention to my zBlog Success Has Many Parents - in which I referred to a conversation with Kenneth Baker during 1982, about the potential development of interactive multimedia communications, when I said that - the archives of the BBC were worth more to the British nation than all the country’s coal deposits and that in order to “mine” that wealth, an appropriate industrial infrastructure would have to be established before the information could be put into information technology and subsequently distributed in a form that would be useful to all potential users.
I was first struck by the potential of small scale simulation systems, as an air traffic controller, during the 1970's and subsequently worked as a consultant to Acorn Computers and the BBC and thence Apple and the development of a CIM Product Simulator in collaboration with Surrey University. …