Archive for March, 2015

Golden Moments

Suppose a circle is divided by two radii and the two arcs a and b are in the golden ratio:

b / a = ( a + b ) / b = φ ≈ 1.618

Then the smaller angle formed by the radii is called the golden angle. It is equal to about 137.5° or 2.4 radians. We will denote the golden angle by γ. Its exact value, as a fraction of a complete circle, is ( 3 – √5 ) / 2 ≈ 0.382 cycles.

GoldenAngle Continue reading ‘Golden Moments’

You Can Do Maths

Bragging about mathematical ineptitude is not cool. There is nothing admirable about ignorance and incompetence. Moreover, everyone thinks mathematically all the time, even if they are not aware of it. Can we all do maths? Yes, we can!  [See this week’s That’s Maths column (TM064) or search for “thatsmaths” at irishtimes.com].

Topological map of the London Underground network

When you use a map of the underground network, you are doing topology.

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A King of Infinite Space: Euclid I.

O God, I could be bounded in a nutshell, and count myself a king of infinite space …
[Hamlet]

Euclid. Left: panel from the Series Famous Men by Justus of Ghent. Right: Statue in the Oxford University Museum of Natural History.

Euclid. Left: panel from series Famous Men by Justus of Ghent. Right: Statue in the Oxford University Museum of Natural History.

Continue reading ‘A King of Infinite Space: Euclid I.’

Café Mathematics in Lvov

For 150 years the city of Lvov was part of the Austro-Hungarian Empire. After Polish independence following World War I, research blossomed and between 1920 and 1940 a sparkling constellation of mathematicians flourished in Lvov [see this week’s That’s Maths column in The Irish Times (TM063, or search for “thatsmaths” at irishtimes.com).

The Scottish Café, Lvov in earlier times (left), now Hotel Atlas in Lviv.(image Wikimedia Commons).

The Scottish Café, Lvov in earlier times (left), now Hotel Atlas in Lviv (right).

Continue reading ‘Café Mathematics in Lvov’


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