Today, many people think of the arts as being very distinct from mathematics and science. But, in fact,
mathematics and the arts have a rich history together. Many of the great artists in history have also made
contributions to mathematics and science. Choose one of the topics listed below to explore connections
between art or music and mathematics.
Explore some connections between mathematics and art. This could include an investigation of the use of
symmetry and self-similar structure, fractal geometry, the Fibonacci sequence and Golden Ratio. For example,
describe how the Fibonacci sequence is constructed. Explain what the Golden Ratio is and give an example
showing how it is calculated. Discuss how the Golden Ratio is connected to the Fibonacci sequence. Give at
least three instances where the Fibonacci sequence or the Golden Ratio appears in art, architecture, or nature.
Explore some connections between mathematics and music. Discuss how mathematics is related to musical
tones and scales. Discuss how the long historical connection between mathematics and music has deepened
in the digital age. Explain why we have so many choices for digital music, such as AAC versus MP3 or 128
kbps versus 256 kbps, and describe how music is encoded.
Mathematics and art are related in a variety of ways. Mathematics has itself been described as an artmotivated by beauty. Mathematics can be discerned in arts such as music, dance, painting, architecture, sculpture, and textiles. This article focuses, however, on mathematics in the visual arts.Mathematics and art have a long historical relationship. Artists have used mathematics since the 4th century BC when the Greek sculptorPolykleitos wrote his Canon, prescribing proportions conjectured to have been based on the ratio 1:√2 for the ideal male nude. Persistent popular claims have been made for the use of the golden ratio in ancient art and architecture, without reliable evidence.
on.
Topographically, Ruritania is generally situated between domains that would have been called Saxony and Bohemia in Hope’s time. It has become a conventional term, both concrete and theoretical, for a nonexistent pre WW1 European realm utilized as the setting for sentiment, interest and the plots of experience books. Its name has been given to an entire type of composing, the Ruritanian sentiment, and it has spread outside writing to a wide range of other areas.4
This paper will examine Petru�elkov�’s (P) (1994 (1940))5 Czech form of the short-novel-length Biggles Goes To War (BGW; Biggles Let� na Jih (BLJ) in Czech), set in Maltovia, portrayed in plot as a little Ruritanian-type 6 nation with a German-type upper-
class found “somewhat toward the north-east of the Black Sea, depicted by its diplomat to London as “� ..just barely in Europe. � . Asia � . isn’t a long way from our eastern frontier”.7 Its classification echoes Hope’s somewhat, e.g., Max/Ludwig Stanhauser, von Nerthold, Janovica, Bethstein, Menkhoff, Vilmsky, Klein, Nieper, Gustav, and so on. Maltovia is undermined by its neighbor Lovitzna, a marginally bigger nation, additionally Ruritanian to the extent can be judged, depicted by the Maltovian diplomat as: “� another state, not huge, as nations in Europe go, yet bigger than we are.” Johns gives minimal enough genuine data on Maltovia, and even less on Lovitzna, in spite of the fact that the names he cites for the last nation, e.g., Zarovitch (the name of the decision administration), Hotel Stadplatz, Shavros, Stretta Barovsky, do extend a Ruritanian picture like that of Maltovia. Lovitzna is building up an aviation based armed forces with the help of European educators, and the story starts with the Maltovian diplomat in London asking Biggles, Algy, and Ginger to create one for Maltovia to counter the danger from Lovitzna.
BGW incorporates scenes, for example, e.g., Biggles telling a German pilot that local people “dislike us, you know, they are volatile (93; No. 17 underneath)”, which may have evoked unwelcome pictures and meanings among Czech perusers, particularly during the period when BGW and BLJ were first published.8 The arrangement picked by P to deal with such circumstances has been to go one little above and beyond than interpretation, and to transpose the story, moving Maltovia to some unclear spot in
Whittlesey 2012 sets up an exhaustive continuum for any exchange of any substance starting with one medium then onto the next,