What you know about math?

oh Jimmy you came so close..its a hexagon....and what a nice way to explain its not pyramids,thank you.and folks i am not so great in this field..i just share what i read and this was one i found really interesting..the site i picked up this stuff from is
http://www.math.hmc.edu/funfacts/

Hi Appy,

Think I was more than just close 'and the last is the cut face which is a hexagon'.
From your question I thought you wanted to know what 3d shape you got, not just the shape of the cut face?

oh yes Jimmy yes you were just correct!sorry for a misleading comment..

Murphy's Laws and Mathematics
Knowing mathematics and teaching mathematics are not equivalent.
Teaching ability is inversely proportional to the number of papers published.
Textbooks are written for those who already know the subject.
Any simple idea will be expressed in incomprehensible terms
If anything can go wrong, it will.
Corollary 1: At the worst possible time
Corollary 2: Causing the most damage

142857 is a cyclic number.try multiplying it by any number from one to six..it will appear in the same order,but will be rotated around..

Hey Gath,
Thanks for the link to the Math video. My husband was a math leaguer.

I wonder if the slow fade to photo after correctly completing the sudoku bugs anyone else.

Arithmetic and algebraic paradoxes..
proving 2=1
Let x = 1.
Then x² = x.
So x² - 1 = x -1.
Dividing both sides by x -1, we conclude that
x + 1 = 1;
that is, since x = 1,
2 = 1.

Arithmetic and algebraic paradoxes..
by Augustus De Morgan
proving 2=1
Let x = 1.
Then x² = x.
So x² - 1 = x -1.
Dividing both sides by x -1, we conclude that
x + 1 = 1;
that is, since x = 1,
2 = 1.

oh sorry for the double entry..

Ah, but the flaw in the logic is how one of my usernames comes about. Anyone care to guess what that username is?

well mr.x thats not a big deal i guess!
and its been observed that math by itself is a language and the regular english often misleads the problem stated(again problem here refers to the math problem)for when a six yo was asked to state the difference between 11 and 6, she said after thinking a while,11 has two numbers in it(two ones)and six has only one..and 11 is straight but six is curved!!!!
so shall we call for a seperate lingo to express the math applications and answers??for example instead of having 'answers' on a math test, they should just call them 'impressions' and if you got a different 'impression' so what, can't we all be brothers!!!!!howizzzitt???

then again how can a math teacher ever make the students understand if the lingo is so ambigious??
now look at this..
A teacher was trying to impress her students with the fact that terms cannot be subtracted from one another unless they are like terms. 'For example,' she continued, 'we cannot take five apples from six bananas.'
'Well,' countered a pupil, 'can't we take five apples from three trees?'

LOL, smart kid. I like that one.

oh my!no posts for past two weeks..well just to add some,on a lighter side
There is no truth to the allegation that statisticians are mean. They are just your standard normal deviates.

If parallel lines meet at infinity - infinity must be a very noisy place with all those lines crashing together!

Ha! Almost three weeks..no posts and no other visitors..sad!
ok some thing on lateral thinking..well I cant explain why I put it here,but I cant find anyother page that may accomadate this.And I wonder,if this will get some more ppl here or put off the ppl who already visit !! Lemme take a chance..

Simple ones to start with..
A woman is found hanging by her neck from the high ceiling in an otherwise empty locked room with a puddle of water under her feet. How did she kill herself?
A pipe, a carrot, and a couple sticks are lying together in a field. Why?
Two men are served identical drinks at the bar. One lives, but the other dies. Why?
Will wait for a response..then post the answers..

Ans:
She stood on a block of ice to hang herself.
They're what's left of a melted snowman
Poisoned ice cubes in the drinks: one man drinks slowly, giving them time to melt, but the other man drinks fast and doesn't get much of the poison

OK..lemme see if any takers are there for this one...
A man kneeling on the pavement, replacing a wheel of his car, accidentally drops the nuts into the deep drain.
A passing motorist offers him a solution which enables him to drive home.
What is it?

Ans:
Remove one nut from the other three wheels and use it.

Maya Mathematics
Instead of ten digits like we have today, the Maya used a base number of 20. (Base 20 is vigesimal) They also used a system of bar and dot as "shorthand" for counting. A dot stood for one and a bar stood for five.

Expand..
(a+b)^n

(a + b) ^ n

(a + b) ^ n

(a + b) ^ n !!

I liked it....

ha!! the fun is lost...each step is spaced...
like
(a..+b)..^n
(a....+...b).....^..n

Gauss
About 100 years ago, a young boy (who grew up to be a great mathematician) by the name of Gauss (pronounced "Gowss") was at school when the class got in trouble for being too loud and misbehaving. Their teacher, looking for something to keep them quiet for a while, told her students that she wanted them to "add up all of the numbers from 1 to 100 and put the answer on her desk." She figured that would keep them busy for an hour or so.

About 30 seconds later, the 10-year-old Gauss tossed his slate (small chalkboard) onto the teacher's desk with the answer "5050" written on it and said to her in a snotty tone, "There it is." The teacher, amazed, asked him how he came up with the answer so quickly. So he explained. He noticed that if you add 1 to 100 you get 101, and the same if you add 2 to 99 and so on until you get to 50+51. That's 50 pairs of 101. So he just multiplied 101 by 50 to get 5050.

A bit of curious info..abt a number, 1729...
1729
When Srinivasa Ramanujan, the great Indian mathematician, was ill with tuberculosis in a London hospital, his colleague G. H. Hardy went to visit him. Hardy, trying to initiate onversation, said to Ramanujan, "I came here in taxi-cab number 1729. That number seems dull to me which I hope isn't a bad omen."
"Nonsense," replied Ramanujan. "The number isn't dull at all. It's quite interesting. It's the smallest number that can be expressed as the sum of two cubes in two different ways." (Ramanujan recognized that 1729 = 1^3 + 12^3 as well as 9^3 + 10^3.)

I do read your comments anu but am so gobsmacked by figures I just lose it!! The brain power that is.

Lumberjacks make good musicians because of their natural logarithms.

Pie are not square. Pie are round. Cornbread are square.

The Mathematician, Euler, long ago
realised that in topology:

po + pl = li + 1
[where po is the number of points;
pl is the number of planes;
and li is the number of lines
- in any 2D geometric figure]

- then by idly doodling, I found that
this can be extended to include 3D
geometric figures as well; so then:

po + pl = li + sp + 1
[where, in addition,
sp = number of spaces]

In my opinion the '+ 1'
in these situations represents
the space outside the figure under
scrutiny.

The only figures where this does not work
is for looped structures (like circles
or spheres), in which a 'terminal point'
is lost.

Do you think these observations have any practical use?
I find it very intriguing and wonder if appy has any suggestions about how I might extend this investigation even further.

Topology!!very interesting, Rayray.But my knowledge in pure math in such topics is limited.Outa my own interest I do have read some articles and tried to visualize certain things, but I wonder if I am able to answer your query properly.
Think you are talking abt Eulers formula establishing a relationship between the vertices, edges and faces in a simple polyhedra.
It has given rise to conclusion abt the Platonic solids, which are just five and all of them are found in nature.Application of this formula in the study of them, is a wonderful way to integrate Math and science, as some of the shapes are found to be exhibited by certain viruses!!

appy:
The above hypothesis integrates all possible geometric forms. I cannot help feeling that there is something really fundamental in it, which throws light on our whole Universe - yet it is so simple. The special case of 'looped structures' maybe was what led the Ancient Greeks into thinking that circular and spherical forms were to be described as 'perfect', and might explain why most astronomical bodies are spherical (usually attributed to gravitational influences. In chemistry the concept of looping (with loss of bonds) led to Kekule's benzene formula.

Self-descriptive sequence.
Write a simple number, say, 21. Now scan the number by groups of equal digits at a time. Here we have one "2" and one "1". Thus the next number will be 1211. In this number we have one "1", one "2" and two "1"s. Thus the third number - 111221. The next will be 312211.
so it becomes
21
1211
111221
312211
13112221..and so it goes on...

Appy:
The way I have devised to estimate sums of integers from 1 to any target number is to use the formula:
(x-squared + x) / 2
In the case of 100 this is:
(100-squared + 100) / 2 = 5050
I think it is quicker the method used by Gauss.
I did it in less than 10 seconds.

*than

Heard of friendly numbers?
Well,220 is identified to be one :).
who is the friend?
284.
And how??
Each are equal to the sum of the proper divisors of the other.Interesting, isnt it.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110 are the proper divisor of 220 and they add up to give 284!
Similarly,1, 2, 4, 71,142 are the divisor of 284 when added gives you 220!.

And I read, 220 is the number of goats given by
Jacob as a gesture of friendship to Esau...
so it is called a Bible number.
Another Bible number is 153.

153 is a neat number. Here are four reasons:


1.153 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17

2.153 = 1! + 2! + 3! + 4! + 5! (i.e., 1 + (1 x 2) + (1 x 2 x 3) + (1 x 2 x 3 x 4) + (1 x 2 x 3 x 4 x 5))

3.153 = 13 + 53 + 33

4.153 lies dormant in every third number. Take any multiple of three, sum the cubes of its digits, take the result, sum the cubes of its digits, take the results, etc. Believe me. You eventually get 153. Take 12, for example.
1>3 + 2>3 = 9.
9>3 = 729.
7>3 + 2>3 + 9>3 = 1080.
1>3 + 0>3 + 8>3 + 0>3 = 513.
Finally, 5>3 + 1>3 + 3>3 = 153.

3. shud be read as 1>3, 5>3, and 3>3..sorry missed to correct it ..

saw your call to come in here for a look - never realised this page existed! But have to say that this is my idea of pure hell - I'm most impressed by your ability with numbers but unfortunately will not be able to contribute very much in that department!

some interesting products of multiplication....
well cant say exactly whats the use of them, just an observation, and its sure interesting..
see for yourself.
3x37=111...1+1+1=3
6x37=222...2+2+2=6
9x37=333...3=3+3=9...
and so on, till
27x37=999...9+9+9=27.
any name for this pattern, I wonder..