From: Subject: Escher's "Relativity" in LEGO Date: Tue, 16 Aug 2005 15:43:01 +0200 MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_000_0013_01C5A279.2F4F5D00"; type="text/html" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1441 This is a multi-part message in MIME format. ------=_NextPart_000_0013_01C5A279.2F4F5D00 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.andrewlipson.com/escher/relativity.html Escher's "Relativity" in LEGO

Escher's "Relativity" in LEGO=AE

Because The LEGO Company get = paranoid about this=20 sort of thing let me make it clear that I have no affiliation with them, = that my=20 views are my own and do not necessarily represent theirs, and so on. So = if you=20 think any of this is official you are as deluded as they are. =

Click on the picture or here = for a=20 bigger version (about 410K)

 =20

Daniel Shiu and I worked on this as a joint = project after we=20 finished our=20 rendition of Escher's "Ascending and Descending", making it = our fourth=20 Escher picture rendered in LEGO. Once again, no camera tricks, but = the=20 picture has to be taken from exactly the right place, and boy did = we get=20 tired of trying to find where that place was. The whole thing took = five or=20 six evenings spread over two or three weeks. Most of the last = evening was=20 taken up with setting up the lighting the way we wanted it and = trying to=20 get the camera position just right...

The original Escher picture (Relativity, = 1953.=20 Lithograph) is shown on the right for comparison.

Unlike many of Escher's other "impossible" = pictures (like "Ascending = and=20 Descending") , there is actually no optical illusion involved = here.=20 Gravity seems to be working in three different directions = simultaneously,=20 but the picture shows a perfectly self-consistent physical scene. = So=20 modelling it should certainly be feasible. But while Escher's = picture has=20 three different "up"s, LEGO isn't quite so flexible...

For LEGO afficionados, the most significant thing = about our=20 version is the widespread use of SNOT ("Studs not on top") = techniques - in=20 plain English, having the LEGO studs pointing in lots of different = directions. There are various tricks for making this work in = general, and=20 we probably used all of them here. You can find some of the = details in the=20 = construction=20 pictures.

 

Some Construction = Details...

Click on the small pictures for larger versions.

 =20

= Here's the final construction, taken = from a=20 slightly different angle and further away so you can see what's = going on.=20 It's all a bit messy - lots of scaffolding to hold it all = up.

= The early stages of = construction

= A SNOT detail: This little man sitting = on his=20 bench was constructed as a separate module....

= ...that fixes under here. The = technique here is to=20 use Technic=20 1/2 pins sticking into 1x1 = Technic=20 beams. The head of the pin protrudes sideways (=3D upwards in = this=20 picture) and can be used as a LEGO stud to plug into the bottom of = a=20 brick. The bench itself is a 1x4= =20 brick with studs on the side.

= The same 1/2-pins-and-beams trick was = used to fix=20 this vertical railing to the wall. Here I've pulled it off so that = you can=20 see what's going on. Of course the really tricky thing here is = getting the=20 spacing right because of the 6/5 height-to-width ratio of a LEGO = brick,=20 but 4 studs width =3D 3 bricks and a plate high. So it's not = entirely=20 accidental that the railing supports are 4 studs apart from each=20 other...

= This staircase and arch was fixed to = the wall in=20 the same way. Here I've pulled it away from the wall and turned it = round.=20 Of course the stair/arch construction itself is pretty SNOTty. I'm = not=20 entirely happy with the way we did this, but it was the best we = could=20 manage. We used 1x1 = headlight=20 bricks to fix the arches to the stairways.

= Here I've pulled off the tower and = bridge which=20 appear on the right of the finished picture. The direction of the = studs=20 changes at the end of the stairs. The technique here is to use a = Technic = pin=20 to hold together two 1x1 = Technic=20 beams oriented at right angles to each other, and join = everything else=20 to the Technic beams.

= Finally, here's another overall view. = This time=20 you can see some of the lights we used for the final photograph. = Yes, I=20 know it's not very professional-looking. As a final (though = invisible in=20 the finished picture) ea=3Dxample of SNOT, notice the vertical = green=20 baseplate behind the far wall. This is there to stop the light on = the=20 right shining through the doorway at the top of the model. It is = fixed on=20 with yet another technique: A couple of 1x4 bricks are fixed on = the=20 baseplate, and their studs fit into the holes in a long Technic = beam which=20 clips onto the top of the wall.

 

All M. C. Escher works = (C) Cordon Art,=20 Baarn, the Netherlands. All rights reserved. Used by = permission. The = official M.C.=20 Escher web site is=20 worth a visit. In particular they have a "virtual ride" through = "Ascending and=20 Descending".

All other pictures on this page are Copyright =A9 A. Lipson 2003.

LEGO =AE is a trademark of The LEGO = Group, who have=20 nothing to do with this or any of my other LEGO-related web = pages.

Our other LEGO renditions of Escher works are "Balcony", = "Belvedere" and "Ascending = and=20 Decending" and "Waterfall".
Back to ASL's home = page
Back to ASL's LEGO = page

FAQs and contact=20 information
 

Hits since 11th April 2003:


=20

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