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van MC Escher

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mckeonj
81713.  Tue Jul 25, 2006 3:09 pm Reply with quote

Very interesting engravings! Shall we have a discussion on whether he begins with a V or an E?
Just in case one does not know of Escher, here is a gallery:
http://www.mcescher.com/Gallery/gallery.htm
and here a sample:

 
XDL
81725.  Tue Jul 25, 2006 4:56 pm Reply with quote

[quote="mckeonj"]Very interesting engravings! quote]
Don't you mean Quite Interesting?

(Sorry for avoiding the topic, but, hey! It's a reply!)

 
Celebaelin
81761.  Wed Jul 26, 2006 4:17 am Reply with quote

I'd say VERY interesting, artificial perspective don'ycha know. Relativity being the famous one (the one with all the stairs) but my favourite is Above and Below, which I can't find a great image of, they seem to be out of focus for some reason, but here's one anyway to give an impression.

 
jimmyc99
81787.  Wed Jul 26, 2006 6:28 am Reply with quote

For those of you who think Escher's warped view of the world only works in 2D - here is my particular favourite Escher lithograph done in Lego...

http://www.andrewlipson.com/escher/ascending.html

 
Celebaelin
81798.  Wed Jul 26, 2006 7:08 am Reply with quote

Escher worked in 3D himself


Quote:
Sphere with Angels and Devils, maple, 1942, is another spherical carved tessellation with tetrahedral symmetry.

This is a quite interesting site

http://www.georgehart.com/virtual-polyhedra/escher.html

with text and links like

Quote:
Name all the polyhedra and polyhedral compounds in Escher's Stars:

* compound of three octahedra, (both a solid and an edge model)
* compound of two cubes with common 3-fold axis, (both a solid and an edge model)
* stella octangula (compound of two tetrahedra), (both a solid and an edge model)
* compound of cube and octahedron,
* rhombic dodecahedron,
* cuboctahedron,
* rhombicuboctahedron,
* square trapezohedron,
* trapezoidal icositetrahedron,
* triakis octahedron,
* all five platonic solids.


I think I'd like to hear SF rattling off that list.

For an explanation of Pseudo Rhombicuboctahedra try

this site

which assures me that

Quote:
Many introductory works on polyhedra give an over-simplified presentation of the defining characteristic of the Archimedean semi-regular polyhedra. They often state only that the same regular polygons appear in the same sequence at each vertex. While this is necessarily true of semi-regular polyhedra, it is not a sufficient property, and has led to confusion, and even claims of the discovery of a new example.


and

Quote:
Analogously, the dual to the great rhombicuboctahedron is the great trapezoidal icositetrahedron, which has 8/3 star octagons for its "equators." Rotating one half 45 degrees relative to the other gives the pseudo great trapezoidal icositetrahedron.



Trapezoidal Icositetrahedron



Trikis Octahedron (octohedra really but I thought the smaller one was easier to interpret)

There's also Leonardo da Vinci's Polyhedra

http://www.georgehart.com/virtual-polyhedra/leonardo.html

Leonardo (we're on first name terms) being responsible for the 'solid edge' manner of depiction of polyhedra.

 
samivel
81808.  Wed Jul 26, 2006 8:53 am Reply with quote

Well, I don't know what he's talking about but it sounds damnably clever. And the pictures are pretty.

 
swot
81896.  Wed Jul 26, 2006 10:57 am Reply with quote

Having looked at those drawings I really want to say something clever but all I can think of is coooool and weird.

 
Jenny
81937.  Wed Jul 26, 2006 1:38 pm Reply with quote

I'd love to know how that Lego model was done.

 
Celebaelin
82011.  Wed Jul 26, 2006 6:59 pm Reply with quote

From an angle. There was a comedy show that had a running gag about crushing 'your' ie a distant person's (ugh) head between your (as in your own) fingers. Same thing, well, kind of.

Early 'Fast Show' I think.

Or p'raps a pre-cursor.

 
dr.bob
82046.  Thu Jul 27, 2006 4:21 am Reply with quote

Jenny wrote:
I'd love to know how that Lego model was done.


If you scroll down the page, it tells you how they did it.

I quite like the picture on that guy's home page too:

http://www.andrewlipson.com/

 
96aelw
82067.  Thu Jul 27, 2006 5:54 am Reply with quote

Celebaelin wrote:
From an angle. There was a comedy show that had a running gag about crushing 'your' ie a distant person's (ugh) head between your (as in your own) fingers. Same thing, well, kind of.

Early 'Fast Show' I think.

Or p'raps a pre-cursor.


Kids in the Hall, I fear.

 
Celebaelin
82072.  Thu Jul 27, 2006 6:28 am Reply with quote

Yes! Thanks, it was bugging me.

 
Gray
82252.  Thu Jul 27, 2006 4:25 pm Reply with quote

Quote:
trapezoidal icositetrahedron


My gym promises to 'work' those with me, but I'm not too tempted to take them up on it.

 
Celebaelin
82264.  Thu Jul 27, 2006 6:18 pm Reply with quote

In the end, and I fear to betray my ignorance, M C Escher is all I know. Where does the 'van' come from?

 
dr.bob
82286.  Fri Jul 28, 2006 3:38 am Reply with quote

Good question. According to his official website, his full name was Maurits Cornelis Escher.

Perhaps he drove a van :)

 

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