# How many golf balls can you fit into a Boeing 777?

### #1

Posted 17 March 2008 - 02:33 PM

### #2

Posted 17 March 2008 - 02:34 PM

Don't you see? The rest of the country looks upon New York like we're left-wing Communist, Jewish, homosexual, pornographers. I think of us that way, sometimes, and I live here.

I'm not about to read this whole thread. I'm not a librarian.

### #3

Posted 17 March 2008 - 02:34 PM

### #4

Posted 17 March 2008 - 02:36 PM

### #5

Posted 17 March 2008 - 02:41 PM

FTR, i got like 3 of those stupid riddles in one of my first real job interviews out of college. Nailed 'em and they hired me. Worked there for 5 years, but i should've known what a bunch of pain the ###es worked there from the interview.

Seriously though, think to yourself, is it the type of company that actually ants to know the answer? Or, do they want some creative answer? Once you know that, either answer will be easy to come up with

### #6

Posted 17 March 2008 - 02:43 PM

The purpose is to see your reasoning skills.The answer does not matter, but rather the thought process you put into it does. Think of it as, the answer is "showing your work" rather than the conclusion from that work.I interviewed with multiple consulting firms when I was getting my MBA and had to answer questions like this.Off the top of my head I would say that each seat in a 777 is 2 feet wide. There are 11 seats across plus two aisles that consist of 4 feet each. This is 30 feet wide. A golf ball is 2 inches across. Thus you can fit 180 balls across...You would then want to go into how high it is, take into consideration that it is not a box but a cylinder so you need to make adjustments for that. You need to deduct out space for seats, but remember you can fit balls into overhead compartments, bathrooms, the cockpit, the luggage compartment down below, and in seat pockets.This is just off the top of my head, but giving a detailed example such as this shows that you are considering all the options and your creativity in it.I never got this question but got manhole covers / public telephones in NYC as well as some others.I'm interviewing for a consultancy firm overseas. They emailed me 4 questions like this and want a response in 24 hours, before deciding whether I am worthy of a full interview. What is the purpose of this type of question, and what kind of answer do they expect?

### #7

Posted 17 March 2008 - 02:44 PM

But to me security is primary, and has to come before all freedoms.

I don't think I have worked more than 45 hours in a week ever. And most of the time it is a 37 hour week.

I have been saying for some time there was no nuclear weapon program in Iran. How did I know this? Do I have a crystal ball? Do I get insider info from the CIA? No I actually look at what is happening and what people in the know are saying. It's really easy with this new fangled innerwebs thingy. I do the google.

*Great nations rise and fall. The people go from bondage to spiritual truth, to great courage, from courage to liberty, from liberty to abundance, from abundance to selfishness, from selfishness to complacency, from complacency to apathy, from apathy to dependence, from dependence back again to bondage.*

### #8

Posted 17 March 2008 - 02:46 PM

They must be getting soft. Typically they ask you the question on the spot and you have to go into it right there.Strange that they would send this to you and give you 24 hours. I used to get questions like this when I was interviewing for consulting positions out of college, but apparently they wanted to see how I thought through the problem. That's a bit different than giving someone 24 hours.

### #9

Posted 17 March 2008 - 02:46 PM

### #10

Posted 17 March 2008 - 02:50 PM

I can fit seven golf balls in a Boeing 777 with plenty of room to spare.

I have gay relatives, I have Jewish friends and I'm not caucasian, so my parameters of what constitutes a good person are pretty much based on common sense.

### #11

Posted 17 March 2008 - 02:52 PM

Let’s assume that we will only fit balls into the main body of the aircraft. It would be possible to fill the gas tanks in the wings with golf balls, but we will just fill the cockpit, the main body and the tail section with golf balls.

In a Boeing 777 you have 2 aisles with 3 seats between each aisle and window, and 4 seats between the aisles. A seat is roughly 50 centimeters wide and an aisle is roughly 50 centimeters wide as well. That makes for a total width of (12x50=600 centimeters) 6 meters.

We assume that there are 300 seats on the aircraft, and every occupant is given 1.5 meters of space along the length of the aircraft (chair, including margin for reclining of chair and leg space). That gives us 30 rows (10 seats in each row) of seats each occupying 1.5 meters which gives a total length of 45 meters.

There are 3 additional factors that need to be added to this to get the total length of the aircraft: emergency exits, tail section (storage of food etc.) and cockpit. If there are 2 sets of emergency exits (1 on each side) that will roughly add another 1 meter each, in total 2 meters. We are now up to a length of 47 meters. Let’s then assume that the cockpit requires another 3 meters (not including the nose of the aircraft that carries navigation and communications equipment). The tail needs to support the rear fins (2 horizontal and 1 vertical) and needs to be sturdy. Let’s assume it is 10 meters long. We now have a cigar shaped tube roughly 60 meters long and 6 meters in diameter. For simplicity’s sake, let’s also assume that the floor and the ceiling of the aircraft make this into a box rather than a tube (even though the ends are still tapered). The inner sides of the aircraft would still be curved but for simplicity’s sake we will ignore that. The height of the aircraft is assumed to be 2 meters. Our box is thus 2x60x6 with tapered ends.

A ball is roughly 5 centimeters in diameter. We can therefore fit 120 balls in width, 40 balls in height and 1200 balls in length. This does not account for the space occupied by the seats (and other equipment). Let’s assume the seats cover 15 % of the total volume. This gives us 85% out of 120x40x1200=5 760 000 balls, which is 4 896 000 balls. Let’s say that the tapered ends can carry half the amount of balls per meter of length compared to the midsection. That means that we need to subtract half of the balls that fit into a 13 meter section (cockpit and tail end, 3+10 meters, assuming no chairs). That corresponds to 120 balls in width, 40 balls in height and 260 balls in length, all divided by 2. Mathematically written 0.5(120x40x260)=624 000.

This gives us a total of 4 896 000-624 000 which is 4 272 000 golf balls.

. /......................\Amoeba Knieval

### #12

Posted 17 March 2008 - 02:52 PM

People used to complain that I started too many threads

It's easy to say I'm making the arguments because I'm a Jets fan, but it just so happens that the statistical arguments I'd make anyway happen to fall on the side of the Jets this year.

### #13

Posted 17 March 2008 - 02:53 PM

I know my wife will never cheat on me and I'm on the same page as him.

### #14

Posted 17 March 2008 - 02:56 PM

you are making it too complicated. I can only check in 2 bags at 50 lbs each, so 100 lbs divided by the weight of one golf ball will be your answer. You can go a step further and estimate how many golf balls you can fit in your carry on bag and have it still fit in the thingy that measures the size of the carry on luggage. So legally, without having to pay for oversized luggage, you can fit X amount of golf balls.

The purpose is to see your reasoning skills.The answer does not matter, but rather the thought process you put into it does. Think of it as, the answer is "showing your work" rather than the conclusion from that work.I interviewed with multiple consulting firms when I was getting my MBA and had to answer questions like this.Off the top of my head I would say that each seat in a 777 is 2 feet wide. There are 11 seats across plus two aisles that consist of 4 feet each. This is 30 feet wide. A golf ball is 2 inches across. Thus you can fit 180 balls across...You would then want to go into how high it is, take into consideration that it is not a box but a cylinder so you need to make adjustments for that. You need to deduct out space for seats, but remember you can fit balls into overhead compartments, bathrooms, the cockpit, the luggage compartment down below, and in seat pockets.This is just off the top of my head, but giving a detailed example such as this shows that you are considering all the options and your creativity in it.I never got this question but got manhole covers / public telephones in NYC as well as some others.

I'm interviewing for a consultancy firm overseas. They emailed me 4 questions like this and want a response in 24 hours, before deciding whether I am worthy of a full interview. What is the purpose of this type of question, and what kind of answer do they expect?

### #15

Posted 17 March 2008 - 02:57 PM

Nice find. The weird thing is the blogger who wrote that is the same guy who's screening my answer for the position. Sounds like he got the job anyway, so it does give me a nice guide of what response they're looking for.google is your friend...Let’s assume that we will only fit balls into the main body of the aircraft. It would be possible to fill the gas tanks in the wings with golf balls, but we will just fill the cockpit, the main body and the tail section with golf balls.In a Boeing 777 you have 2 aisles with 3 seats between each aisle and window, and 4 seats between the aisles. A seat is roughly 50 centimeters wide and an aisle is roughly 50 centimeters wide as well. That makes for a total width of (12x50=600 centimeters) 6 meters.We assume that there are 300 seats on the aircraft, and every occupant is given 1.5 meters of space along the length of the aircraft (chair, including margin for reclining of chair and leg space). That gives us 30 rows (10 seats in each row) of seats each occupying 1.5 meters which gives a total length of 45 meters.There are 3 additional factors that need to be added to this to get the total length of the aircraft: emergency exits, tail section (storage of food etc.) and cockpit. If there are 2 sets of emergency exits (1 on each side) that will roughly add another 1 meter each, in total 2 meters. We are now up to a length of 47 meters. Let’s then assume that the cockpit requires another 3 meters (not including the nose of the aircraft that carries navigation and communications equipment). The tail needs to support the rear fins (2 horizontal and 1 vertical) and needs to be sturdy. Let’s assume it is 10 meters long. We now have a cigar shaped tube roughly 60 meters long and 6 meters in diameter. For simplicity’s sake, let’s also assume that the floor and the ceiling of the aircraft make this into a box rather than a tube (even though the ends are still tapered). The inner sides of the aircraft would still be curved but for simplicity’s sake we will ignore that. The height of the aircraft is assumed to be 2 meters. Our box is thus 2x60x6 with tapered ends.A ball is roughly 5 centimeters in diameter. We can therefore fit 120 balls in width, 40 balls in height and 1200 balls in length. This does not account for the space occupied by the seats (and other equipment). Let’s assume the seats cover 15 % of the total volume. This gives us 85% out of 120x40x1200=5 760 000 balls, which is 4 896 000 balls. Let’s say that the tapered ends can carry half the amount of balls per meter of length compared to the midsection. That means that we need to subtract half of the balls that fit into a 13 meter section (cockpit and tail end, 3+10 meters, assuming no chairs). That corresponds to 120 balls in width, 40 balls in height and 260 balls in length, all divided by 2. Mathematically written 0.5(120x40x260)=624 000.This gives us a total of 4 896 000-624 000 which is 4 272 000 golf balls.

### #16

Posted 17 March 2008 - 02:57 PM

I like that except for the question didn't specify an empty plane.One, cause after that the plane isn't empty.

### #17

Posted 17 March 2008 - 02:59 PM

### #18

Posted 17 March 2008 - 03:02 PM

Shredhead beat me too it.

**Edited by denveredge, 17 March 2008 - 03:04 PM.**

### #19

Posted 17 March 2008 - 03:05 PM

### #20

Posted 17 March 2008 - 03:06 PM

**Edited by ThePassion, 17 March 2008 - 03:06 PM.**

### #21

Posted 17 March 2008 - 03:16 PM

Not really, I was going for the regulation 2 bags of luggage plus carry on weight limit angle. you went with the total cargo load weight limit. Same principle, we just went 2 different ways with it.Shredhead beat me too it.

**Edited by shredhead, 17 March 2008 - 03:16 PM.**

### #22

Posted 17 March 2008 - 03:17 PM

You can tune a piano but you can't tuna fish.I had the same kinda crappy question but I was asked on the spot....actually interviewing for a low paying job with the Eagles marketing department I was asked how many piano tuners (as in the profession) there were in Philadelphia.

### #23

Posted 17 March 2008 - 03:19 PM

### #24

Posted 17 March 2008 - 03:20 PM

plus there is packing inefficiency for randomly placed spheres.By the way, are all of you going by cubic feet taking into account the airspace between the golf balls? Due to the spherical shape of the golf ball, you are going to have a lot of unoccupied space.

### #25

Posted 17 March 2008 - 03:22 PM

Good point! Do you think the OP would get the job if he just answered "Lots"

plus there is packing inefficiency for randomly placed spheres.

By the way, are all of you going by cubic feet taking into account the airspace between the golf balls? Due to the spherical shape of the golf ball, you are going to have a lot of unoccupied space.

### #26

Posted 17 March 2008 - 03:26 PM

i don't know what the heck he's consulting for. i was always under the impression that consultants were highly skilled, highly specialized individuals with large amounts of experience in what they consult for.obviously, they need someone with experience as a ball packer.

Good point! Do you think the OP would get the job if he just answered "Lots"

plus there is packing inefficiency for randomly placed spheres.

By the way, are all of you going by cubic feet taking into account the airspace between the golf balls? Due to the spherical shape of the golf ball, you are going to have a lot of unoccupied space.

### #27

Posted 17 March 2008 - 03:27 PM

### #28

Posted 17 March 2008 - 03:28 PM

wait, what?So he asked you a question in which he has already posted an answer on the internet? Are you applying for a job with the Special Olympics?

Nice find. The weird thing is the blogger who wrote that is the same guy who's screening my answer for the position. Sounds like he got the job anyway, so it does give me a nice guide of what response they're looking for.

google is your friend...Let’s assume that we will only fit balls into the main body of the aircraft. It would be possible to fill the gas tanks in the wings with golf balls, but we will just fill the cockpit, the main body and the tail section with golf balls.In a Boeing 777 you have 2 aisles with 3 seats between each aisle and window, and 4 seats between the aisles. A seat is roughly 50 centimeters wide and an aisle is roughly 50 centimeters wide as well. That makes for a total width of (12x50=600 centimeters) 6 meters.We assume that there are 300 seats on the aircraft, and every occupant is given 1.5 meters of space along the length of the aircraft (chair, including margin for reclining of chair and leg space). That gives us 30 rows (10 seats in each row) of seats each occupying 1.5 meters which gives a total length of 45 meters.There are 3 additional factors that need to be added to this to get the total length of the aircraft: emergency exits, tail section (storage of food etc.) and cockpit. If there are 2 sets of emergency exits (1 on each side) that will roughly add another 1 meter each, in total 2 meters. We are now up to a length of 47 meters. Let’s then assume that the cockpit requires another 3 meters (not including the nose of the aircraft that carries navigation and communications equipment). The tail needs to support the rear fins (2 horizontal and 1 vertical) and needs to be sturdy. Let’s assume it is 10 meters long. We now have a cigar shaped tube roughly 60 meters long and 6 meters in diameter. For simplicity’s sake, let’s also assume that the floor and the ceiling of the aircraft make this into a box rather than a tube (even though the ends are still tapered). The inner sides of the aircraft would still be curved but for simplicity’s sake we will ignore that. The height of the aircraft is assumed to be 2 meters. Our box is thus 2x60x6 with tapered ends.A ball is roughly 5 centimeters in diameter. We can therefore fit 120 balls in width, 40 balls in height and 1200 balls in length. This does not account for the space occupied by the seats (and other equipment). Let’s assume the seats cover 15 % of the total volume. This gives us 85% out of 120x40x1200=5 760 000 balls, which is 4 896 000 balls. Let’s say that the tapered ends can carry half the amount of balls per meter of length compared to the midsection. That means that we need to subtract half of the balls that fit into a 13 meter section (cockpit and tail end, 3+10 meters, assuming no chairs). That corresponds to 120 balls in width, 40 balls in height and 260 balls in length, all divided by 2. Mathematically written 0.5(120x40x260)=624 000.This gives us a total of 4 896 000-624 000 which is 4 272 000 golf balls.

### #29

Posted 17 March 2008 - 03:29 PM

Well then, how do I know I can fit any in at all?

I like that except for the question didn't specify an empty plane.

One, cause after that the plane isn't empty.

I have gay relatives, I have Jewish friends and I'm not caucasian, so my parameters of what constitutes a good person are pretty much based on common sense.

### #30

Posted 17 March 2008 - 03:29 PM

No, airplane not boat. Try to stay focused here.boatloads?

### #31

Posted 17 March 2008 - 03:29 PM

There's nothing in the question to warrant that assumption.what's the maximum take-off weight of a boeing 777, and how much of that is payload weight? that's probably less than the weight of the golf balls you could possibly fit in there,

assumingyou wanted it to be able to take off.

I have gay relatives, I have Jewish friends and I'm not caucasian, so my parameters of what constitutes a good person are pretty much based on common sense.

### #32

Posted 17 March 2008 - 03:30 PM

### #33

Posted 17 March 2008 - 04:05 PM

sure there is. they called it a boeing 777, not a large asymmetric cylinder. that identifier has meaning, unless the person writing the question is an idiot.

There's nothing in the question to warrant that assumption.

what's the maximum take-off weight of a boeing 777, and how much of that is payload weight? that's probably less than the weight of the golf balls you could possibly fit in there,assumingyou wanted it to be able to take off.

### #34

Posted 17 March 2008 - 04:27 PM

That was my first thought.My second was to find another place to apply.

wait, what?So he asked you a question in which he has already posted an answer on the internet? Are you applying for a job with the Special Olympics?

Nice find. The weird thing is the blogger who wrote that is the same guy who's screening my answer for the position. Sounds like he got the job anyway, so it does give me a nice guide of what response they're looking for.

google is your friend...Let’s assume that we will only fit balls into the main body of the aircraft. It would be possible to fill the gas tanks in the wings with golf balls, but we will just fill the cockpit, the main body and the tail section with golf balls.In a Boeing 777 you have 2 aisles with 3 seats between each aisle and window, and 4 seats between the aisles. A seat is roughly 50 centimeters wide and an aisle is roughly 50 centimeters wide as well. That makes for a total width of (12x50=600 centimeters) 6 meters.We assume that there are 300 seats on the aircraft, and every occupant is given 1.5 meters of space along the length of the aircraft (chair, including margin for reclining of chair and leg space). That gives us 30 rows (10 seats in each row) of seats each occupying 1.5 meters which gives a total length of 45 meters.There are 3 additional factors that need to be added to this to get the total length of the aircraft: emergency exits, tail section (storage of food etc.) and cockpit. If there are 2 sets of emergency exits (1 on each side) that will roughly add another 1 meter each, in total 2 meters. We are now up to a length of 47 meters. Let’s then assume that the cockpit requires another 3 meters (not including the nose of the aircraft that carries navigation and communications equipment). The tail needs to support the rear fins (2 horizontal and 1 vertical) and needs to be sturdy. Let’s assume it is 10 meters long. We now have a cigar shaped tube roughly 60 meters long and 6 meters in diameter. For simplicity’s sake, let’s also assume that the floor and the ceiling of the aircraft make this into a box rather than a tube (even though the ends are still tapered). The inner sides of the aircraft would still be curved but for simplicity’s sake we will ignore that. The height of the aircraft is assumed to be 2 meters. Our box is thus 2x60x6 with tapered ends.A ball is roughly 5 centimeters in diameter. We can therefore fit 120 balls in width, 40 balls in height and 1200 balls in length. This does not account for the space occupied by the seats (and other equipment). Let’s assume the seats cover 15 % of the total volume. This gives us 85% out of 120x40x1200=5 760 000 balls, which is 4 896 000 balls. Let’s say that the tapered ends can carry half the amount of balls per meter of length compared to the midsection. That means that we need to subtract half of the balls that fit into a 13 meter section (cockpit and tail end, 3+10 meters, assuming no chairs). That corresponds to 120 balls in width, 40 balls in height and 260 balls in length, all divided by 2. Mathematically written 0.5(120x40x260)=624 000.This gives us a total of 4 896 000-624 000 which is 4 272 000 golf balls.

Good luck. He is a April 14, 2003 member. Those guys are protected.

### #35

Posted 17 March 2008 - 04:34 PM

a sphere of radius R occupies about 52.4% of the volume that a cube with L=W=H=2R does.By the way, are all of you going by cubic feet taking into account the airspace between the golf balls? Due to the spherical shape of the golf ball, you are going to have a lot of unoccupied space.

### #36

Posted 17 March 2008 - 05:11 PM

"umm, where did you come up with that answer?"

-- I CALCULATED that shiit, homey!!

### #37

Posted 17 March 2008 - 05:14 PM

How many do you have in your bag?How many golf balls can you fit into a Boeing 777?

### #38

Posted 17 March 2008 - 05:29 PM

That being said, I will guess 8 million.

### #39

Posted 17 March 2008 - 05:31 PM

### #40

Posted 17 March 2008 - 06:20 PM

Sure the identifier has meaning. It is a quick way of giving the dimensions of the asymmetrical cylinder. There's absolutely no takeoff requirement.

sure there is. they called it a boeing 777, not a large asymmetric cylinder. that identifier has meaning, unless the person writing the question is an idiot.

There's nothing in the question to warrant that assumption.

what's the maximum take-off weight of a boeing 777, and how much of that is payload weight? that's probably less than the weight of the golf balls you could possibly fit in there,assumingyou wanted it to be able to take off.

People reading too much into things has caused more problems in the history of our species than could ever be listed here. I wish people would stop doing it.

### #41

Posted 17 March 2008 - 06:27 PM

This is the correct answer. Consulting firms want to see that you can think rationally, creatively and systematically through problems like these. If you need an excellent resource on how to answer questions like this, check out Case in Point by Marc. Cosentino.

The purpose is to see your reasoning skills.The answer does not matter, but rather the thought process you put into it does. Think of it as, the answer is "showing your work" rather than the conclusion from that work.I interviewed with multiple consulting firms when I was getting my MBA and had to answer questions like this.Off the top of my head I would say that each seat in a 777 is 2 feet wide. There are 11 seats across plus two aisles that consist of 4 feet each. This is 30 feet wide. A golf ball is 2 inches across. Thus you can fit 180 balls across...You would then want to go into how high it is, take into consideration that it is not a box but a cylinder so you need to make adjustments for that. You need to deduct out space for seats, but remember you can fit balls into overhead compartments, bathrooms, the cockpit, the luggage compartment down below, and in seat pockets.This is just off the top of my head, but giving a detailed example such as this shows that you are considering all the options and your creativity in it.I never got this question but got manhole covers / public telephones in NYC as well as some others.

I'm interviewing for a consultancy firm overseas. They emailed me 4 questions like this and want a response in 24 hours, before deciding whether I am worthy of a full interview. What is the purpose of this type of question, and what kind of answer do they expect?

-Allan Bloom

### #42

Posted 17 March 2008 - 06:33 PM

### #43

Posted 17 March 2008 - 06:41 PM

Ever? We could probably come up with the whole list here.

Sure the identifier has meaning. It is a quick way of giving the dimensions of the asymmetrical cylinder. There's absolutely no takeoff requirement.

sure there is. they called it a boeing 777, not a large asymmetric cylinder. that identifier has meaning, unless the person writing the question is an idiot.

what's the maximum take-off weight of a boeing 777, and how much of that is payload weight? that's probably less than the weight of the golf balls you could possibly fit in there,assumingyou wanted it to be able to take off.

People reading too much into things has caused more problems in the history of our species than couldever be listed here. I wish people would stop doing it.

### #44

Posted 17 March 2008 - 06:58 PM

"I had slumps that lasted into the winter."

"The way to catch a knuckleball is to wait until it stops rolling and then pick it up."

-Mr. Bob Uecker-

### #45

Posted 17 March 2008 - 07:06 PM

**Edited by FUBAR, 17 March 2008 - 07:06 PM.**

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### #46

Posted 17 March 2008 - 07:11 PM

"Williams to tie it with a three...HE DOES!!!" ~Dick Enberg

### #47

Posted 17 March 2008 - 07:54 PM

I agree. It seems like he is testing your ability to get an answer "without recreating the wheel". Why would you want someone to do a lot of work if there are resources out there that have already done it.Give the answer he posts on the internet. He wants to know if you would research to find the answer, and he planted the answer where you could find it with a search.

### #48

Posted 17 March 2008 - 08:13 PM

Ah, but maybe he put an intentional mistake in his calculations and is checking to see whether the OP lazily copies the answer, or verifies it first.Pure diabolicalness.

I agree. It seems like he is testing your ability to get an answer "without recreating the wheel". Why would you want someone to do a lot of work if there are resources out there that have already done it.

Give the answer he posts on the internet. He wants to know if you would research to find the answer, and he planted the answer where you could find it with a search.

However, once I was handed the ball and saw the opening I ran to daylight. Not because I knew what I was doing, I just loved the sunshine on my face.

so here i was, a fugitive from justice, riding in a stolen Continental with two slabs o jailbait & a serial killer.

You gonna eat the rest of those fries?I will tackle a female midget with a handicap if that's what it takes to win. I will steal a car from Russian Mob bosses and sleep with their wives if that's what separates me from first and second. I will yell, scream, bite, scratch, crawl, and kick to the groin in order to survive one more round. I may not be much - in fact, I'm bit TOO much in parts - but I am a survivor. I don't know how to quit and I'd rather pass a kidney boulder than lose.

Shuke?

### #49

Posted 17 March 2008 - 08:23 PM

The purpose is to see your reasoning skills.The answer does not matter, but rather the thought process you put into it does. Think of it as, the answer is "showing your work" rather than the conclusion from that work.

### #50

Posted 18 March 2008 - 05:24 AM

crude drawing showing the top, bottom, top, bottom, top, bottom of the golf balls:

^\/^\/^\/

vs.

1 on top of the other:

\/ \/

^ ^

. /......................\Amoeba Knieval

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