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Posts tagged with topology

I’m feeling blue, 11 dimensions at a time!

June13

Neuroscientists have used a classic branch of maths in a totally new way to peer into the structure of our brains. What they’ve discovered is that the brain is full of multi-dimensional geometrical structures operating in as many as 11 dimensions. We’re used to thinking of the world from a 3-D perspective, so this may […]

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Mind-Boggling Math Fact #5

January9

In the important mathematical field of topology, two objects are considered to be equivalent, or “homeomorphic,” if one can be morphed into the other by simply twisting and stretching¬†its surface; they are different if you have to cut or crease the surface of one to reshape it into the form of the other.¬†Consider, for example, […]

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Topology – It has two sides but only one!

June21

Students may not have seen much about Topology while their heads are deep inside equations and trig functions. However, Mobius strips and Klein bottles are intriguing aspects of the area of Mathematics called Topology (literally, “the study of shapes”). Here is a Mobius Strip: The fun part of Mobius Strips is that students can make […]

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10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

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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