architecture
https://plus.maths.org/content/taxonomy/term/800
en

How new geometries reshaped our world
https://plus.maths.org/content/hownewgeometriesreshapedourworld
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Judith Grabiner </div>
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<img class="imagefield imagefieldfield_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/29_apr_2016__1635/gris_icon.jpg?1461947701" /> </div>
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<p>The 19th century experienced a geometrical revolution. Find out how the new geometries that were discovered shaped philosophy, science, culture and art.</p>
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<div class="rightshoutout">This article is based on Grabiner's talk at the <a href="https://blogs.bodleian.ox.ac.uk/adalovelace/symposium/">Ada Lovelace
Symposium</a>. You can watch a video of the talk <a href="https://plus.maths.org/content/hownewgeometriesreshapedourworld#video">below</a>.</div>
<p>In the <a href="https://plus.maths.org/content/howeuclidoncerulesworld">first part of this article</a> we saw how the ancient Greeks' notion of geometry permeated centuries' worth of human thought: from science and philosophy to politics and art. The early 19th century, however, experienced a geometrical revolution.<p><a href="https://plus.maths.org/content/hownewgeometriesreshapedourworld" target="_blank">read more</a></p>
https://plus.maths.org/content/hownewgeometriesreshapedourworld#comments
architecture
Euclidean geometry
FPcarousel
geometry
hyperbolic geometry
mathematics and art
philosophy
psychology
Mon, 09 May 2016 13:57:56 +0000
mf344
6560 at https://plus.maths.org/content

How Euclid once ruled the world
https://plus.maths.org/content/howeuclidoncerulesworld
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Judith Grabiner </div>
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<img class="imagefield imagefieldfield_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/3_may_2016__0853/euclid_icon.jpg?1462265600" /> </div>
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<p>This article explores how Euclid's ancient geometry interacts with all aspects of human thought and life.</p>
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<div class="rightimage" style="width: 150px"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/blog/102014/euclid.jpg" alt="Euclid" width="150" height="232" />
<p>Euclid, as depicted by <a href="https://en.wikipedia.org/wiki/Justus_van_Gent">Justus van Gent</a> in the 15th century.</p>
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<p>Geometry is obviously a very useful area of maths. We need it to measure things, to understand shapes, and to navigate through the spaces we live in.</p>
<p>But I'd like to argue that geometry is much more than that: it interacts with all aspects of human thought and life. </p><p><a href="https://plus.maths.org/content/howeuclidoncerulesworld" target="_blank">read more</a></p>
https://plus.maths.org/content/howeuclidoncerulesworld#comments
architecture
Euclid's Elements
Euclidean geometry
FPtopstory
geometry
mathematics and art
philosophy
Mon, 09 May 2016 09:48:41 +0000
mf344
6559 at https://plus.maths.org/content

Revealing a lost space: The British Museum courtyard
https://plus.maths.org/content/britishmuseumcourtyard
<p>Our image of the week shows the courtyard of the <a href="http://www.britishmuseum.org">British Museum</a> in London with its beautiful glass and steel roof.</p>
<div class="centreimage"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/blog/102014/reading_roomfull.jpg" width="600" height="399"/>
<p style="width: 600px;">The courtyard of the British Museum with its famous mathematical roof and reading room in the middle. Image © The British Museum.</p><p><a href="https://plus.maths.org/content/britishmuseumcourtyard" target="_blank">read more</a></p>
https://plus.maths.org/content/britishmuseumcourtyard#comments
architecture
image of the week
Wed, 22 Oct 2014 16:50:39 +0000
mf344
6215 at https://plus.maths.org/content

Holy mathematics
https://plus.maths.org/content/holymathematics
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<img src="https://plus.maths.org/content/sites/plus.maths.org/files/blog/072014/sagrada_familia_ceiling_maths_2.jpg" width="640" height="426" alt="Sagrada Familia "/>
<p style="width:640px">Image © Tim Jones.</p>
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<p>This beautiful image shows details of the ceiling of the Sagrada Familia basilica in Barcelona, illustrating architect <a href="http://en.wikipedia.org/wiki/Antoni_Gaud%C3%AD">Antoni Gaudí's</a> love of mathematical design. © Tim Jones.</p><p><a href="https://plus.maths.org/content/holymathematics" target="_blank">read more</a></p>
https://plus.maths.org/content/holymathematics#comments
architecture
image of the week
mathematics and art
Thu, 31 Jul 2014 08:53:32 +0000
mf344
6149 at https://plus.maths.org/content

Bridges, string art and Bézier curves
https://plus.maths.org/content/bridgesstringartandbeziercurves
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Renan Gross </div>
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<img class="imagefield imagefieldfield_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/2_feb_2012__1416/icon.jpg?1328192185" /> </div>
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The Jerusalem Chords Bridge, Israel, was built to make way for the city's light rail train
system. Its design took into consideration more than just utility — it is a work of
art, designed as a monument. Its beauty rests not only in the visual appearance of its crisscross
cables, but also in the mathematics that lies behind it. So let's take a deeper look at it. </div>
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<h3>The Jerusalem Chords Bridge</h3>
<p>The Jerusalem Chords Bridge, Israel, was built to make way for the city's light rail train
system. However, its design took into consideration more than just utility — it is a work of
art, designed as a monument. Its beauty rests not only in the visual appearance of its crisscross
cables, but also in the mathematics that lies behind it. Let us take a deeper look into these
chords.</p><p><a href="https://plus.maths.org/content/bridgesstringartandbeziercurves" target="_blank">read more</a></p>
https://plus.maths.org/content/bridgesstringartandbeziercurves#comments
architecture
Bezier curve
engineering
geometry
mathematics and art
parabola
Mon, 05 Mar 2012 09:31:51 +0000
mf344
5654 at https://plus.maths.org/content

Browse with Plus: Compass & Rule — Architecture as mathematical practice
https://plus.maths.org/content/browsepluscompassrulearchitecturemathematicalpractice
<p><a href="http://www.mhs.ox.ac.uk/compassandrule/onlineexhibition">Compass & Rule: Architecture as Mathematical Practice in England, 15001750</a>, is a lovely online version of the physical exhibition held at the <a href="http://www.mhs.ox.ac.uk/">Museum of the History of Science</a>, Oxford, in 2009. Compass and Rule focuses on design and drawing, exploring the role of geometry in the dramatic transformation of English architecture between the 16th and 18th centuries.<p><a href="https://plus.maths.org/content/browsepluscompassrulearchitecturemathematicalpractice" target="_blank">read more</a></p>
https://plus.maths.org/content/browsepluscompassrulearchitecturemathematicalpractice#comments
architecture
engineering
history of mathematics
Mon, 12 Sep 2011 14:39:04 +0000
Rachel
5557 at https://plus.maths.org/content

How the velodrome found its form
https://plus.maths.org/content/howvelodromefounditsform
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Rachel Thomas </div>
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The Velodrome, with its striking curved shape, was the first venue to be completed in the London Olympic Park. Plus talks to structural engineers Andrew Weir and Pete Winslow from <a href="http://www.expeditionengineering.com/main.php">Expedition Engineering</a>, who were part of the design team for the Velodrome, about how mathematics helped create its iconic shape. </div>
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<div class="packagebacklink">Back to the <a href="https://plus.maths.org/content/ingeniousconstructingourlives">Constructing our lives package</a></div><br clear="all">
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<em><strong>Listen to the <a href="https://plus.maths.org/content/howvelodromefounditsform0">podcast</a> accompanying this article.</strong></em></div>
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The Velodrome, with its striking curved shape, was the first venue to be completed in the London Olympic Park.<p><a href="https://plus.maths.org/content/howvelodromefounditsform" target="_blank">read more</a></p>
https://plus.maths.org/content/howvelodromefounditsform#comments
architecture
engineering
mathematics in sport
olympics
velodrome
Fri, 22 Jul 2011 15:55:04 +0000
Rachel
5512 at https://plus.maths.org/content

Visual curiosities and mathematical paradoxes
https://plus.maths.org/content/visualcuriositiesandmathematicalparadoxes
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Linda Becerra and Ron Barnes </div>
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<img class="imagefield imagefieldfield_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/21%20Oct%202010%20%2016%3A38/icon.jpg?1287675519" /> </div>
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<p>When your eyes see a picture they send an image to your brain, which your brain then has to make sense of. But sometimes your brain gets it wrong. The result is an optical illusion. Similarly in logic, statements or figures can lead to contradictory conclusions, which we call paradoxes. This article looks at examples of geometric optical illusions and paradoxes and gives explanations of what's really going on.</p>
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<p>When your eyes see a picture they send an image to your brain, which your brain then has to make sense of. But sometimes your brain gets it wrong. The result is an optical illusion. Similarly in logic, statements or figures can lead to contradictory conclusions; appear to be true but in actual fact are selfcontradictory; or appear contradictory, even absurd, but in fact may be true. Here again it is up to your brain to make sense of these situations. Again, your brain may get it wrong. These situations are referred to as paradoxes.<p><a href="https://plus.maths.org/content/visualcuriositiesandmathematicalparadoxes" target="_blank">read more</a></p>
https://plus.maths.org/content/visualcuriositiesandmathematicalparadoxes#comments
architecture
BanachTarski paradox
Barber's Paradox
escher
geometry
impossible object
optical illusion
paradox
Penrose staircase
Penrose triangle
perspective
Russell's Paradox
Wed, 17 Nov 2010 14:06:13 +0000
mf344
5337 at https://plus.maths.org/content

Swimming in mathematics
https://plus.maths.org/content/swimmingmathematics
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<img class="imagefield imagefieldfield_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/latestnews/sepdec08/watercube/icon.jpg?1221174000" /> </div>
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The mathematics of foam coats Olympic swimming venue </div>
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<div class="pub_date">12/09/2008</div>
<! plusimport >
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<p>As sporting glories continue in Beijing with the Paralympics taking up where the Olympics left off, many of us have marvelled at the architecture almost as much as at the sporting achievements. One of the Olympic venues, the National Aquatic Centre, lives up to its name of the Water Cube.<p><a href="https://plus.maths.org/content/swimmingmathematics" target="_blank">read more</a></p>
https://plus.maths.org/content/swimmingmathematics#comments
architecture
kelvin's problem
mathematics in sport
minimal surface
olympics
Thu, 11 Sep 2008 23:00:00 +0000
plusadmin
2817 at https://plus.maths.org/content

Career interview: Exhibition curator
https://plus.maths.org/content/careerinterviewexhibitioncurator
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Marc West </div>
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<img class="imagefield imagefieldfield_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/issue47/interview/icon.jpg?1212274800" /> </div>
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<div class="pub_date">June 2008</div>
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<p><i>Our career interviews usually explore the wide range of careers open to people with a degree in maths or related sciences — and quite a few of them have ended up in the arts. In this issue we turn the tables and talk to an artist who, through his job, has infiltrated the world of maths. But then, are the two worlds really that separate? This article is accompanied by a <a href=
"/podcasts/PlusCareersPodcastJune08.mp3">podcast</a>.</i></p><p><a href="https://plus.maths.org/content/careerinterviewexhibitioncurator" target="_blank">read more</a></p>
https://plus.maths.org/content/careerinterviewexhibitioncurator#comments
47
architecture
Arts & Entertainment
career interview
mathematics and art
public understanding of mathematics
sculpture
Sat, 31 May 2008 23:00:00 +0000
plusadmin
2436 at https://plus.maths.org/content

Beyond Measure
https://plus.maths.org/content/beyondmeasure
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Conversations across science and art </div>
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<div class="pub_date">14/03/2008</div>
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<p>Crocheted hyperbolic surface by mathematician Daina Taimina.</p><p><a href="https://plus.maths.org/content/beyondmeasure" target="_blank">read more</a></p>
https://plus.maths.org/content/beyondmeasure#comments
architecture
klein bottle
mathematics and art
sculpture
Fri, 14 Mar 2008 00:00:00 +0000
plusadmin
2623 at https://plus.maths.org/content

Perfect buildings: the maths of modern architecture
https://plus.maths.org/content/perfectbuildingsmathsmodernarchitecture
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Marianne Freiberger </div>
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<i>Plus</i> went to see members of Norman Foster's group of architects to learn about the maths behind architecture.
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<div class="pub_date">March 2007</div>
<! plusimport >
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<p><i>Architecture has in the past done great things for geometry. Together with the need to measure the land they lived on, it was people's need to build their buildings that caused them to first investigate the theory of form and shape. But today, 4500 years after the great pyramids were built in Egypt, what can mathematics do for architecture?<p><a href="https://plus.maths.org/content/perfectbuildingsmathsmodernarchitecture" target="_blank">read more</a></p>
https://plus.maths.org/content/perfectbuildingsmathsmodernarchitecture#comments
42
architecture
computer animation
computer graphics
computer programming
computer science
computer simulation
geometry
Thu, 01 Mar 2007 00:00:00 +0000
plusadmin
2304 at https://plus.maths.org/content