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RECENT POSTS IN THIS TOPIC

sherapova smith: on 12/10/17 at 16:56pm UTC, wrote It is vital that the copy written is short, therefore, crisp and...

Jonathan Dickau: on 9/26/14 at 0:56am UTC, wrote I am hoping you will have time to rate and comment on my video.. Can the...

Stephen Wilmoth: on 9/18/14 at 15:41pm UTC, wrote Aloha Mr. Lisi, I lived in Huelo for 6 years in the 80's., and built a...

Jonathan Dickau: on 9/15/14 at 23:24pm UTC, wrote Excellent! I enjoyed this greatly. It was fun to watch, and though it...

Michael muteru: on 9/13/14 at 12:13pm UTC, wrote hello stephen BEAUTIFUL shapes and forms very elegant.numbers+ shapes...

Antony Lisi: on 9/11/14 at 1:52am UTC, wrote Nice bit of geometry there. Hope you build those out as models. Voted it...

Alexander Roth: on 8/19/14 at 17:28pm UTC, wrote Hi Stephen Wilmouth, The images are stunning. I watched it a couple of...

Stephen Wilmoth: on 8/12/14 at 16:32pm UTC, wrote Video Image Video URL http://youtu.be/QIOzQsWhzKk ...


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FQXi FORUM
July 16, 2020

CATEGORY: Show Me the Physics! Video Contest (2014) [back]
TOPIC: Morphohedron: Perfect geometry is the analogue for the perfect structure of matter by Stephen Wilmoth [refresh]
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Stephen Wilmoth wrote on Aug. 12, 2014 @ 16:32 GMT
Video Image





Video URL

http://youtu.be/QIOzQsWhzKk



Video Description

This animation shows the 'Morphohedron': a configuration of all five Platonic solids, each one fitting inside the others in turn. The proportions of the edge lengths between polyhedra exhibit powers of the Golden Ratio, creating a sequence of various symmetries from one polyhedron to the next, analogue to how various symmetry groups used in quantum physics can geometrically fit together as suggested by ‘Atomic Architecture', which sometimes also involve the same Golden Ratio.

Video Co-Creator(s)

Dugan Hammock, UMass-Amherst, Uni-Tübingen
Gene Bohlmann, Raymond Aschheim


Video Creator Bio

Stephen Wilmoth, Architect, Artist, Geometer, Math dept, U.C. Berkeley, Pebble Beach, CA My work is directed at demonstrating the amazing interrelationship of the Regular Polyhedrons (Platonic Solids plus Kepler/Poinsot), and the Golden Ratio( 1.618). Blending these together creates the three dimensional projection of the Fibonacci numbers. I call this phenomenon the Morphohedron.

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Alexander Roth wrote on Aug. 19, 2014 @ 17:28 GMT
Hi Stephen Wilmouth,

The images are stunning. I watched it a couple of times. The imagery plus music alone is fine.

What would have been useful, I think, would have been a second pass through the images with just a few words explaining to us non mathematicians what the significance of the pictures is.

Good luck in the competition.

Alexander Roth (Special Relativity.....)

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Member Antony Garrett Lisi wrote on Sep. 11, 2014 @ 01:52 GMT
Nice bit of geometry there. Hope you build those out as models. Voted it up.

Here's my Higgs Geometry video if you can have a look.

http://fqxi.org/community/forum/topic/2154

It's tricky to present the mathematics of symmetry breaking and particle physics to a popular audience, so I do appreciate feedback on it.

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Stephen Wilmoth replied on Sep. 18, 2014 @ 15:41 GMT
Aloha Mr. Lisi,

I lived in Huelo for 6 years in the 80's., and built a (vertex down) Tetrahedron shaped house, which is still there.

I am familiar with your video, and the diagram of "the Monster", which appears to me as the higher dimensional projection ( with 30 vertices) of my morphohedron (with 10 vertices in 2-d projection along one axis through the center of 2 opposing pentagonal faces. ) This makes sense, because the morphohedron contains all regular polyhedrons.

All the best,

Stephen Wilmoth

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Michael muteru wrote on Sep. 13, 2014 @ 12:13 GMT
hello stephen

BEAUTIFUL shapes and forms very elegant.numbers+ shapes =realty,reality which our brains manipulates to sustain consciousness.voted for your video .please take your time to vote my simple video detailing The Geometry of the universe on a notebook here- http://fqxi.org/community/forum/topic/2223.thanks

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Jonathan J. Dickau wrote on Sep. 15, 2014 @ 23:24 GMT
Excellent!

I enjoyed this greatly. It was fun to watch, and though it offered no explanation of why these forms are connected to Physics, it made its point graphically - at least to me. As it turns out; my video also features the Platonic solids, as steps toward building an archetypal architecture for Physics. And I notice that Ray Aschheim is part of your team - and that he has also worked with E8 which I mention too. My research studies the relationship between preserved symmetries (as exemplified by such forms) and symmetry breaking - for which the Mandelbrot Set is a catalog. I hope you will find time to watch my video, as well.

All the Best,

Jonathan

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Jonathan J. Dickau wrote on Sep. 26, 2014 @ 00:56 GMT
I am hoping you will have time to rate and comment on my video..

Can the Mandelbrot Set help us understand the Cosmos?

Regards,

Jonathan

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sherapova smith wrote on Dec. 10, 2017 @ 16:56 GMT
It is vital that the copy written is short, therefore, crisp and engaging. 55 printing

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