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Blue Tyson
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In addition to great articles, the new issue of Clarkesworld features fiction by Hannu Rajaniemi, Matthew Kressel, Andrea M. Pawley, A. Que, Bo-Young Kim, and Ken Liu
Here's the table of contents for Clarkesworld Magazine #104
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A 3-dimensional golden star

Here Greg Egan has drawn a dodecahedron with 5 tetrahedra in it.  This picture is 'left-handed': if you look at where the 5 tetrahedra meet, you'll see they swirl counterclockwise as you go out!  If you view this thing in a mirror you'll get a right-handed version. 

Putting them together, you get a dodecahedron with 10 tetrahedra in it.   You can see it here:

http://math.ucr.edu/home/baez/mathematical/dodecahedron_with_10_tetrahedra.gif

The two kinds of tetrahedra are colored yellow and cyan.  Regions belonging to both are colored magenta.  It's pretty - but it's hard to see the tetrahedra, because they overlap a lot!

A cube has 8 corners.  If you take every other corner of the cube, you get the 4 corners of a tetrahedron.  But you can do this in 2 ways.  If you choose both, you get a cube with 2 tetrahedra in it:

http://math.ucr.edu/home/baez/mathematical/cube_with_2_tetrahedra.gif

This picture is from Frederick Goodman's book Algebra: Abstract and Concrete.

All this is just the start of a much more elaborate and beautiful story which also involves the golden ratio, the quaternions, and 4-dimensional shapes like the 4-simplex, which has 5 tetrahedral faces, and the 600-cell, which has 600 tetrahedral faces!   You can read it here:

http://blogs.ams.org/visualinsight/2015/05/01/twin-dodecahedra/

I learned some of this story from Adrian Ocneanu at Penn State University.  Greg Egan and I figured out the rest... or most of the rest.  There's an unproven conjecture here, which needs to be true to make the whole story work.  Can you prove it?

Puzzle: If you take a regular 4-simplex whose vertices are unit quaternions, with the first equal to 1, can you prove the other 4 vertices generate a free group on 4 elements?

Hmm, I see that this puzzle has been solved by +Ian Agol and someone else on Mathoverflow:

http://mathoverflow.net/questions/204464/do-unit-quaternions-at-vertices-of-a-regular-4-simplex-one-being-1-generate-a

I don't understand the solution yet, because I don't know what a 'Bass-Serre tree' is... but I'll try to learn about this.  Math is infinite, there's always more to learn.

#geometry #4d  
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He Is The Law - in order! The bestselling Judge Dredd Complete Case Files - available in print from all good book & comic book stores, or in print and digital from 2000 AD's webshop and apps http://shop.2000adonline.com/categories/judge_dredd
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Boleslav William Felix Robert "Bill" Sienkiewicz (pronounced sin-KEV-itch) (born May 3, 1958) is an Eisner Award-winning American artist and writer best known for his comic book work, primarily for Marvel Comics' The New Mutants and Elektra: Assassin. Sienkiewicz often utilizes oil painting, collage, mimeograph and other forms generally uncommon in comic books.

After art school, he showed a portfolio of his work to DC Comics' art director Vince Colletta, which led to his breaking into the field at age 19. The artist recalled in 1985, "They didn't have any work for me, but that didn't bother me. I just figured that if comics didn't work out I'd have done advertising or illustration. Vinnie called [renowned comics and advertising artist] Neal Adams, who put me in touch with [Marvel Comics editor-in-chief] Jim Shooter. Soon after that I was drawing Moon Knight, in The Hulk [black-and-white comics] magazine". His art style was heavily influenced by Neal Adams.

from https://en.wikipedia.org/wiki/Bill_Sienkiewicz

Bill Sienkiewicz in the Grand Comics Database:
http://www.comics.org/search/advanced/process/?target=cover&method=icontains&logic=True&keywords=&order1=date&order2=series&pencils=Bill+Sienkiewicz
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Bat wings have built-in systems to rapidly detect airflow changes, enabling these flying mammals to perform aerial acrobatics.
Bat wings have built-in systems to rapidly detect airflow changes, enabling these flying mammals to perform aerial acrobatics.
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He posts great pictures! Very #lotfp
Työpaikka: I serve Beauty itself. Ammatti: DJ/Entertainer. Asuu paikassa Bremerton, WA. An artist in love with weirdness.
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Some ICONS Tricks, Part II

So if you were converting Foxbat, how would you convert his NND?

http://jhmcmullen.blogspot.com/2015/05/an-icons-idea-part-ii.html
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At that point I didn't even have a domain registered, but the site was functional enough to invite others to take a look. As I've written before, I was inspired by this mockup in GURPS Traveller: Of course, it was also inspired by Google Maps, which hit the 'net in February 2005 - a mere two ...
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Fascinating interview with Vincent Price​ from the Golden Age of Radio from my own state of Ct. Absolutely loved this one. 
https://www.youtube.com/watch?v=ZW8b-eAgj28
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+James Spahn has inadvertantly put a lot on my plate. Curse you James! Heh. I'm finding lots of inspiring covers from the public domain comics and pulp mags from the 50's and earlier. Questions: What kind of device is the wom...
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