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Sierpinski gasket. The 10th of 25 mathematic Lego mini mosaics (20 inches square). When completed the entire montage will stretch over 42 feet. (THIS IS A 3-D AND DIFFICULT TO PHOTOGRAPH FROM ABOVE)
Der Zwinger ist ein Gebäudekomplex mit Gartenanlagen in Dresden. Das unter der Leitung des Architekten Matthäus Daniel Pöppelmann und des Bildhauers Balthasar Permoser errichtete Gesamtkunstwerk aus Architektur, Plastik und Malerei gehört zu den bedeutenden Bauwerken des Barocks und ist neben der Frauenkirche das bekannteste Baudenkmal Dresdens. Sein Name Zwinger geht auf die im Mittelalter übliche Bezeichnung für einen Festungsteil zwischen der äußeren und inneren Festungsmauer zurück, obschon der Zwinger bereits bei Baubeginn keine dem Namen entsprechende Funktion mehr erfüllte.
Der Zwinger entstand ab 1709 als Orangerie und Garten sowie als repräsentatives Festareal. Seine reich verzierten Pavillons und die von Balustraden, Figuren und Vasen gesäumten Galerien zeugen von der Prachtentfaltung während der Regentschaft des Kurfürsten Friedrich August I. (auch „August der Starke“ genannt) und seines dadurch ausgedrückten Machtanspruchs. In der ursprünglichen Konzeption des Kurfürsten war der Zwinger als Vorhof eines neuen Schlosses vorgesehen, das den Platz bis zur Elbe einnehmen sollte; daher blieb der Zwinger zur Elbseite hin zunächst unbebaut (provisorisch mit einer Mauer abgeschlossen). Die Planungen zu einem Schlossneubau wurden nach dem Tod August des Starken aufgegeben, und mit der Abkehr vom Barock verlor der Zwinger zunächst an Bedeutung. Erst über ein Jahrhundert später schloss ihn der Architekt Gottfried Semper mit der Sempergalerie zur Elbe hin ab.
Die 1855 eröffnete Sempergalerie war eines der wichtigsten deutschen Museumsprojekte des 19. Jahrhunderts und ermöglichte die Ausweitung der seit dem 18. Jahrhundert unter den jeweiligen Zeiteinflüssen gewachsenen Nutzung des Zwingers als Museumskomplex. Die Luftangriffe auf Dresden am 13. und 14. Februar 1945 trafen den Zwinger schwer und führten zu umfangreichen Zerstörungen. Seit dem Wiederaufbau in den 1950er und 1960er Jahren beherbergt der Zwinger die Gemäldegalerie Alte Meister, den Mathematisch-Physikalischen Salon und die Porzellansammlung. Die ursprüngliche Zweckbestimmung als Orangerie, Garten sowie als repräsentatives Festareal ist dabei zwar in den Hintergrund getreten; letztere wird mit der Aufführung von Musik- und Theaterveranstaltungen jedoch weiterhin gepflegt.
(Wikipedia.de)
The Zwinger is a building complex with gardens in Dresden. Built under the direction of the architect Matthäus Daniel Pöppelmann and the sculptor Balthasar Permoser, the Gesamtkunstwerk of architecture, sculpture and painting is one of the most important buildings of the baroque period and, along with Our Lady's Church, is the most famous architectural monument in Dresden. Its name Zwinger comes from the term used in the Middle Ages for a part of the fortress between the outer and inner fortification walls, although the Zwinger no longer fulfilled a function corresponding to its name when construction began.
The Zwinger was built from 1709 onwards as an orangery and garden and as a representative festival area. Its richly decorated pavilions and the galleries lined with balustrades, figures and vases bear witness to the splendour of the reign of Elector Frederick August I (also known as "August the Strong") and his claim to power. In the elector's original concept, the Zwinger was intended as the forecourt of a new palace, which was to occupy the square up to the Elbe; for this reason, the Zwinger remained undeveloped towards the Elbe side for the time being (provisionally closed off with a wall). The plans for a new palace were abandoned after the death of Augustus the Strong, and with the turning away from the Baroque, the Zwinger initially lost its importance. It was not until over a century later that the architect Gottfried Semper completed it with the Semper Gallery facing the Elbe.
Opened in 1855, the Semper Gallery was one of the most important German museum projects of the 19th century and enabled the extension of the use of the Zwinger as a museum complex, which had grown under the influence of the respective periods since the 18th century. The air raids on Dresden on 13 and 14 February 1945 hit the Zwinger hard and caused extensive destruction. Since its reconstruction in the 1950s and 1960s, the Zwinger has housed the Old Masters Picture Gallery, the Mathematical-Physical Salon and the Porcelain Collection. Although the original purpose of the Zwinger as an orangery, garden and representative festival area has been relegated to the background, the latter is still maintained with the performance of musical and theatre events.
(Wikipedia.de)
Hyperbolic Crochet
Hyperbolic Double Spiral
(Unfurled View)
Yellow Wool
increased one stitch in every five
started with 16 stitches
19 rows
From Mathematical Models, 2nd Edn, by H. M. Cundy and A.P. Rollett, Oxford University Press, 1951.
The notations are by my father, as he worked out measurements to build models.
Post is here: blog.ounodesign.com/2009/04/29/stellated-polyhedra-mathem...
A very cool idea in mathematics that is worth looking up is that of space filling curves or Peano curves first described by Giuseppe Peano.
The specific curve depicted here is due to David Hilbert, and is so called a Hilbert curve.
This turned out kinda wierd, kinda neat, hopefully not gruesome.
Teaching math processes to Grade 2 students at East Bay Waldorf School.
Blogged at: thewaldorfway.blogspot.com/2010/04/grade-two-math.html
by Internet Archive Book Images
Most people agree that fractions are a bugbear in mathematics. Wherever they rear their ugly heads, they wreak havoc on both novice and expert alike. So how can we show that the non-terminating repeating decimal 0.999… is exactly equal to the number 1? ...
Messing about on the river at Cambridge's Mathematical Bridge. I felt I was lucky to be on Silver Street bridge as this punt came into sight with the chaps wearing straw boaters.
Galleria Continua San Gimignano
Human Mathematics, ipaekre - roib 1982-2015, installation, mixed media
Here's that transitional Ollie I was talking about earlier, from one bench to the other. Too bad it was such a grey day, but thank god it didn't rain.
Concentrated female mathemathics professor writing a formula to the chalkboard.
Download Photo #86491659
www.mlenny.com/mathemathics-professor-chalkboard-writing-...
Mlenny Photography
"Nadir Afonso ( 1920-2013) was a Portuguese geometric abstractionist painter. Formally trained in architecture, which he practiced early in his career with Le Corbusier and Oscar Niemeyer"
Fundação Nadir Afonso | Architecture by Álvaro Siza Vieira
I've always loved math and geometry and it's always amazed me how mathematically orientated nature is. Patterns and shapes in nature seem to follow very mathematical models like the Fibonacci sequence and the Golden Mean. It's evolution at it's finest.
Canon EOS 40D
Canon EF 100mm f/2.8 Macro USM
Canon 580EX Speedlite
Canon 430EX Speedlite
Strobist info: Shot on a black cloth with 580EX above triggered by a Canon off camera shoe cord, and a 430EX directly below triggered by the 580EX.
Comments welcome...
The infamous wooden bridge over the River Cam at Queens was originally erected in 1749 and not by Newton as is often attributed. It was rebuilt in 1905 to the original design.
The so-called Mathematical Bridge in Queens' College is built in the shape of an arc, with beams running radially and others tangentially.
Die sogenannte "Mathematische Brücke" im Queens' College wurde in Form eines Kreisbogens gebaut, wobei Balken radial und tangential laufen.