I hated
mathematics—at least when I was in grade school. Nor did I do especially well in math, getting
mainly Cs. It wasn’t until years later
that I appreciated its architecture of pure thought and how it is akin to poetry—the
terse symbolic representation of universal and timeless truths. After slogging through the desiccated desert
of calculus, it was a joy to encounter game, group, and catastrophic theory,
Fibonacci sequences, Markovian chains, fractals, and
Boolean logic. But mathematical thinking
doesn’t have much to do with rational thinking, as the story of the sage Sen Chu of ancient
Here are some math factoids.
Did you know that:
111 X 111 = 12321 and 1111 X 1111 = 1234321
The even numbers are but half of all
numbers and yet there are as many even numbers as all the numbers together
since for every number there is its even double.
1729 is the smallest number that can be expressed in two
different ways as a sum of two cubes (1 cubed + 12 cubed, 10 cubed + 9 cubed)
The numeration system of the Old
Testament may have been base seven.
Here are some ways you manipulate 2 and 4
used four times to produce a result of numbers 1 to 20:
|
|
2 |
4 |
1 |
(2 + 2)/(2
+ 2) |
44/44 |
|
2 |
2/2 + 2/2 |
4/4 + 4/4 |
|
3 |
(2 + 2 +
2)/2 |
(4 + 4 +
4)/4 |
|
4 |
(2 + 2 +
2) – 2 |
4(4 – 4)
+ 4 |
|
5 |
(2 + 2) +
2/2 |
((4 X 4)
+ 4)/4 |
|
6 |
(2/.2) –
(2 + 2) |
4 + (4 +
4)/4 |
|
7 |
(2/.2)/2
+ 2 |
4 + 4 –
4/4 |
|
8 |
2 + 2 + 2
+ 2 |
4 + 4 + 4
- 4 |
|
9 |
(2/.2) –
(2/2) |
4 + 4 +
4/4 |
|
10 |
(2/.2)(2/2) |
(44 –
4)/4 |
|
11 |
(2/.2) +
(2/2) |
44/
square root of 4 + square root of 4 |
|
12 |
(2 + 2
+2)2 |
(44 +
4)/4 |
|
13 |
(2 X 2)!
+ 2)/2 |
44/4 +
square root of 4 |
|
14 |
(.2/.2) +
(2 + 2) |
4 + 4 + 4
+ square root of 4 |
|
15 |
(2 +
2/2)/.2 |
44/4 + 4 |
|
16 |
(2 X 2) X
(2 X 2) |
4 + 4 + 4
+ 4 |
|
17 |
22 –
square root (.2) raised -2 |
(4 X 4) +
4/4 |
|
18 |
(2 + 2)
raised 2 + 2 |
(4 X 4) +
4 – square root of 4 |
|
19 |
(2 + 2 -
.2)/.2 |
(4 + 4 -
.4)/4 |
|
20 |
(2/.2) +
(2/.2) |
(4 X 4) +
square root of 4 + square root of 4 |