From: Subject: Escher's "Waterfall" in LEGO Date: Tue, 16 Aug 2005 15:43:39 +0200 MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_000_002A_01C5A279.45C79F20"; type="text/html" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1441 This is a multi-part message in MIME format. ------=_NextPart_000_002A_01C5A279.45C79F20 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.andrewlipson.com/escher/waterfall.html Escher's "Waterfall" in LEGO

Escher's "Waterfall" 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<= /A> for a=20 bigger version (about 540K)

 =20

Daniel Shiu and I worked on this as a joint = project after we=20 finished our=20 rendition of Escher's "Relativity", making it our fifth Escher = picture=20 rendered in LEGO. Yeah, OK, this time we cheated big time. You can = find=20 out how = we=20 did it further down this page. There are also details of s= ome=20 of the more interesting construction features.

The original Escher picture (Waterfall, = 1961.=20 Lithograph) is shown on the right for comparison.

 

 

How We Did It

OK, let's come clean. We actually resorted to = photographic=20 manipulation for this one. The model as built has the right-hand tower = in the=20 background. The water channels running from bottom left to top right are = genuine=20 and connect the two towers as shown. But the channels running bottom = right to=20 top left are actually only connected to the left-hand (near) tower. We = took two=20 photographs of the model; one with and one without these channels, but = from the=20 identical viewpoint:

=20

 

The final image was constructed by very carefully = overlaying=20 portions of the left image with the corresponding portions from the = right. Yes,=20 it's dirty. We couldn't see how else to do it. Sorry.

Construction Details

To make up for the gross cheating, the model does have a = number of=20 interesting construction details. Here are some highlights (click on the = small=20 pictures for larger versions):

 =20

<= IMG=20 = src=3D"http://www.andrewlipson.com/escher/sml_waterfall_construction6.jpg= "=20 align=3Dleft border=3D2>Here's an overall view, showing the = genuine water=20 channels between the two towers and the false ones that lead = nowhere. You=20 can also see some of the Technic framework used to support the = raised=20 parts of the model.

<= IMG=20 = src=3D"http://www.andrewlipson.com/escher/sml_waterfall_construction1.jpg= "=20 align=3Dleft border=3D2>The decorations on top of the towers = were a bit of=20 a challenge. We spent quite some time trying various alternatives. = In=20 fact, when originally planning this model, this was one of the big = three=20 problems we thought we needed to solve (the other two were the = overall=20 'impossible building' construction and the waterfall itself) In = Escher's=20 original picture, the object on top of the left-hand tower is an=20 intersection of three cubes. I couldn't quite manage that in Lego, = but=20 with judicious use of roof pieces (lots of 1x2=20 double/inverted slopes, 2x2 = corner=20 slopes and 2x2 = double=20 concave slopes), I did manage to construct an intersection of = three=20 cuboids. Close enough. Escher's other tower is topped by three=20 intersecting octahedra. I just wimped out here and hacked together = something vaguely geometric-looking. Both of the lego = constructions are=20 achieved by joining together six identical constructions on the = faces of a=20 cube. Oh, the uses for those1x1 = bricks with=20 studs on the sides...

<= IMG=20 = src=3D"http://www.andrewlipson.com/escher/sml_waterfall_construction2.jpg= "=20 align=3Dleft border=3D2>The garden in the Escher original has = some pretty=20 weird plants in it. So here's a slightly unusual use for Technic = bendy=20 tubes and rocket engine pieces...

<= IMG=20 = src=3D"http://www.andrewlipson.com/escher/sml_waterfall_construction3.jpg= "=20 align=3Dleft border=3D2>This little staircase was a bit of a = challenge. It=20 was hard fitting enough steps into the limited space available in = the=20 model. In the end we used half-brick spacing, using an obscene = number of=20 yellow 1x2=20 jumper plates in the process. The problem is that inevitably = there=20 will be a half-stud gap somewhere. I had just enough jumpers to = hide it=20 away out of sight...

<= IMG=20 = src=3D"http://www.andrewlipson.com/escher/sml_waterfall_construction4.jpg= "=20 align=3Dleft border=3D2>There are two interesting features in = this=20 picture; the waterfall and the roof of the millhouse.

The waterfall itself was about an evening's work. I started by = writing=20 some C code to model a gradually widening parabolic arch with = random=20 variations for the spray (hacked from the code I use for my mathematical = Lego=20 sculptures) and then gradually modified it by hand until I = liked the=20 look of the result.

The roof was originally constructed with standard slope bricks, = but we=20 wanted to model the rough tiled look of Escher's picture. The = general=20 construction is blatantly stolen from a roof construction method I = had=20 noticed at Legoland Windsor, though I simplified it a bit for this = model.=20 The entire roof is built of brown plates, and pretty much = exhausted my=20 collection.

<= IMG=20 = src=3D"http://www.andrewlipson.com/escher/sml_waterfall_construction5.jpg= "=20 align=3Dleft border=3D2>The washing line. Well, we thought it = was cool=20 ;-). The line itself was temporarily borrowed from a large pirate=20 ship...

 

 

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 "Relativity"<= /A>
Back to ASL's home = page
Back to ASL's LEGO = page

FAQs and contact=20 information
 

Hits since 1st May 2003:


=20

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