when 2 = 3 25 September, 2007
Posted by nousha in Math.4 comments
When I was young, I used to love Algebra 
I remember taking el mo3asser exercise book, put some music on, make myself a hot cup of tea with milk and start solving problems for hours! It didn’t feel like studying at all! It was more of a game to me
That’s why I was happy to find this on wikihow. It shows u how to prove that 2 can equal 3 after some logical algebra (and how u can prove it’s wrong). I heard about this simple game from my friends who studied engineering, but they forgot how to do it. So here it is:
Let’s assume A = B
So 2 A = 2 B ;
and 3 A = 3 B ,
mashi?
Let’s multiply on both sides, the first equation with A and the second equation with B:
2 A2 = 2 A B
And 3 A B = 3 B2
Now we’ll subtract the second equation from the first one, so it will be:
2 A2 – 3 A B = 2 A B – 3 B2
Then we shift the 2’s on one side and the 3’s on the other side:
2 A2 – 2 A B = 3 A B – 3 B2
And we take common factors:
2 A (A – B) = 3 B (A – B)
Then we divide both sides with (A – B):
2 A = 3 B
And we assumed from the beginning that A = B, then:
2 A = 3 A
Which means that 2 = 3 J
(Bas 3ala fekra, there is a minor trick in the logical solution that proves that 2 can never equal 3.)
Medieval Mosques Illuminated by Math 25 February, 2007
Posted by nousha in Articles, History, Knowledge, Math.2 comments
WASHINGTON (Reuters) – Magnificently sophisticated geometric patterns in medieval Islamic architecture indicate their designers achieved a mathematical breakthrough 500 years earlier than Western scholars, scientists said on Thursday.
By the 15th century, decorative tile patterns on these masterpieces of Islamic architecture reached such complexity that a small number boasted what seem to be “quasicrystalline” designs, Harvard University’s Peter Lu and Princeton University’s Paul Steinhardt wrote in the journal Science.
Only in the 1970s did British mathematician and cosmologist Roger Penrose become the first to describe these geometric designs in the West. Quasicrystalline patterns comprise a set of interlocking units whose pattern never repeats, even when extended infinitely in all directions, and possess a special form of symmetry.” Source: Yahoo news,
(Turkish mosque)
Historic buildings in the Islamic world are often covered with breathtakingly intricate geometric designs. Both artists and mathematicians have long puzzled over them, wondering how the patterns were created…. In fact, the pattern isn’t random. Steinhardt says if you do the math, you see that it all fits together in predictable way. (source: NPR)
(Isn’t it just amazing!! This is one of the reasons I love walking in the streets of Islamic Cairo and gazing in the beautiful decorative tiles, just amazing!
