Amazing Exponential growth

Take a sheet of paper of the ordinary variety - letter size for the Americans, A4 for the rest of the world - and fold it into half. Fold it a second time, and a third time. It's about as thick as your finger nail. Continue folding if you can.

At 7 folds it is as thick as a notebook. If you would have been able to fold it 10 times, it would be as thick as the width of your hand.

Unfortunately, it isn't possible to do so more than about 12 times. Try it for yourself.

At seventeen folds it would be taller than your average house.

Three more folds and that sheet of paper is a quarter way up the Sears tower.

Ten more folds and it has crossed the outer limits of the atmosphere.

Another twenty and it has reached the sun from the earth.

At sixty folds it has the diameter of the solar system.

At 100 folds it has the radius of the universe. "Preposterous!", you exclaim. If you do not want to pull out your trusty calculator here is a table that contains what is described above.

n	2n**	*km (0.110*-6 2n)	Comment
0	1	0.1 x 10**-6
1	2	0.2 x 10**-6
2	4	0.4 x 10**-6
3	8	0.8 x 10**-6	finger nail thickness
4	16	1.6 x 10**-6
5	32	3.2 x 10**-6
6	64	6.4 x 10**-6
7	128	12.8 x 10**-6	thickness of a notebook
8	256	25.6 x 10**-6
9	512	51.2 x 10**-6
10	1024	0.1 x 10**-3	width of a hand (incl. thumb)
11	2048	0.2 x 10**-3
12	4096	0.4 x 10**-3	0.4m height of a stool
13	8192	0.8 x 10**-3
14	16384	1.6 x 10**-3	1.6m: an average person's height (yeah, a short guy)
15	32768	3.3 x 10**-3
16	65536	6.6 x 10**-3
17	131072	13.1 x 10**-3	13m height of a two story house
18	262144	26.2 x 10**-3
19	524288	52.4 x 10**-3
20	1048576	104.9 x 10**-3	quarter of the Sears tower (440m)
...	....	....	....
25	33554432	3.4 x 10**0	past the Matterhorn
30	1073741824	107.4 x 10**0	outer limits of the atmosphere
35	34359738368	3.4 x 10**3
40	1099511627776	109.9 x 10**3
45	35184372088832	3.5 x 10**6
50	1125899906842624	112.5 x 10**6	~ distance to the sun (95 million miles)
55	36028797018963968	3.6 x 10**9
60	1152921504606846976	115.3 x 10**9	size of the solar system?
65	36893488147419103232	3.7 x 10**12	one-third of a light year
70	1180591620717411303424	118.1 x 10**12	11 light years
75	37778931862957161709568	3.8 x 10**15	377 light years
80	1208925819614629174706176	120.9 x 10**15	12,000 light years
85	38685626227668133590597632	3.9 x 10**18	4x the diameter of our galaxy
90	1237940039285380274899124224	123.8 x 10**18	12 million light years
95	39614081257132168796771975168	4.0 x 10**21
100	1267650600228229401496703205376	126.8 x 10**21	(12 billion light years) approx. radius of the known universe?

Regards,
Baljinder Singh
"5% of people in India believes that keeping faith and meditating god protects everything, rest keep nimbu-mirchi"

__._,_.___

Reply to sender | Reply to group | Reply via web post | Start a New Topic

Messages in this topic (1)

Recent Activity:

New Members 110

Visit Your Group

**************************************************************************

Click here to join Fun_4_Amdavadi_Gujarati Yahoo! Group
http://groups.yahoo.com/group/Fun_4_Amdavadi_Gujarati/join

**************************************************************************
Welcome to World's Biggest Gujarati Group
Pure Gujju Group with Young Gujju Members
Most happening & the only active Gujarati Group in the Universe
Meet Our New Generation & Make New Friends
This is the only biggest Gujarati Fun group, where you can meet NRI, Local Gujarati Guys & Gals with real fun, no junk at all.

This group is for LOCAL & NRI AMDAVADI GUJARATI PEOPLES, but any one can join, you will get lots of funny & great emails everyday. Please join with big mail box like Gmail or Yahoo or create new account to receive our emails. This group support all types of attachments

Regards,

Moderator, Fun_4_Amdavadi_Gujarati
***************************************************************************

MARKETPLACE

Stay on top of your group activity without leaving the page you're on - Get the Yahoo! Toolbar now.

Get great advice about dogs and cats. Visit the Dog & Cat Answers Center.

Hobbies & Activities Zone: Find others who share your passions! Explore new interests.