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A Tale of 21 Cities – H3 on Tour


In what turned out to be a traveling whirlwind, H3 recently completed a world tour in 78 days. Here are the numbers:

13 flights, 5 trains, 3 cars, 1 bus
21 main cities, including: Auckland, San Fancisco, Seattle, London, Brussels, Rome, Florence, Venice, Trieste, Zagreb, Split, Hvar, Dubrovnick, Barcelona, Gibraltar, Lisbon, Montpellier, Cannes, Dubai, Perth, Brisbane.
41 meetings with friends including math-focused conversations with some!

Which explains why we are a little tired and have been slack in posting regularly.
A favorite picture is this one, taken in Montpellier. Note the two drain covers, two crossings, two opposing curves, etc. Yes, the mathematical thinking influenced this picture, plus some patience and a timely cyclist! Which leads to the main point of this post …

Whatever you are doing, your background in Mathematics will influence your thinking – plane and train times, ticketing, composition in photo-taking opportunities, admiration for beauty in landscapes and the design of cities and building, a love for art and culture, etc.

You see, Mathematics is inherent in the world around us – the patterns in plants, the patterns in the weather, the shapes and curves of hills and mountains and rivers. And, even in chaos, Mathematics makes a grand appearance.

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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