Stump your fellow simians.
Small problem of trigonometri
by Sentzeu » Sun Sep 12, 2004 1:29 pm
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Consider the curve of y=cos(arcsin(x)), prove that the curve is equal to a unit circle.
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If you include those other values of the arcsin relation, eg arcsin(-1) = 3pi/4, arcsin(0) = pi, etc, you get a complete circle, no?
Sure....
3 Replies
1036 Views
Last post by Stimpson J. Cat Wed Sep 15, 2004 2:07 pm
Touching pennies
by ceptimus » Mon Jul 26, 2004 7:46 am
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How many pennies can be arranged so that each penny touches every other penny. Don't just give a number; a description and/or diagram is required.
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okay, I have 5 in an unstable configuration.
I think 6 is the limit.
I think 5 is the limit ...
Without bending them that is.
15 Replies
2767 Views
Last post by exarch Wed Sep 15, 2004 12:51 pm
Monday's Cryptoquote
by whitefork » Thu Aug 19, 2004 12:56 pm
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Not difficult but pleasingly worded. Chiasmus, I think?
Ceptimus, do you still have that applet?
FK SPNVNKFA JPNYXP NG KSY SKX JCS NLNYFYXG...
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* Looks sideways at Rob Lister for not hiding his answer in a spoiler box. *
What's a spoiler box? Are there UBB codes for that?
I don't think...
6 Replies
1542 Views
Last post by exarch Tue Sep 14, 2004 3:03 pm
Socks in a box
by DanishDynamite » Sat Sep 11, 2004 11:11 am
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A box contains a number of socks, the number not exceeding 1993. Some socks are Red, some are Blue. The probability of randomly picking two socks of...
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Well done, folks.
4 Replies
1196 Views
Last post by DanishDynamite Mon Sep 13, 2004 3:42 pm
Notes in a hat
by DanishDynamite » Fri Sep 10, 2004 8:34 pm
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A hat contains 1992 pieces of paper in it, each piece of paper having its unique number in the range 1-1992 printed on it. A person picks two random...
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I have to say that Stimpy's solution was indeed very complex. I'm glad he added his Edited to add bit as that describes the core of the argument....
5 Replies
1180 Views
Last post by Stimpson J. Cat Sat Sep 11, 2004 4:01 pm
Another triangle
by DanishDynamite » Wed Sep 08, 2004 7:13 pm
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Given a right-angled triangle with the two sides of length 1, what is the shortest segment which divides this triangle into two figures with equal...
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Well done, millirem and ceptimus!
6 Replies
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Last post by DanishDynamite Fri Sep 10, 2004 8:16 pm
21 Replies
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Last post by MLynn Fri Sep 10, 2004 2:17 pm
A 10-year old triangle
by DanishDynamite » Mon Sep 06, 2004 7:20 pm
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Here's a fairly easy one.
Suppose you have a right triangle where the length of each side is a whole number. Suppose the length of one of the...
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New problem:
There was a big mistake in my previous post. Find this mistake!
6 Replies
1770 Views
Last post by millirem Thu Sep 09, 2004 12:44 am
How do you play games such as
by Guest » Fri Sep 03, 2004 3:00 pm
First post
Chess, poker,mah jong all those funky things that other people play?
Are there online versions?
Some many things have my interest but I have no...
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I'm only teasing, and by my post, you should know that. Seriously though, during my childhood, it was only old men who played pinochle. I know the...
9 Replies
1674 Views
Last post by Cloverlief Fri Sep 03, 2004 8:51 pm
This game is taking the country by storm!
by Nigel » Fri Sep 03, 2004 2:14 pm
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I can't call this a sport , and the country it's taking by storm is the rural countryside. Cornhole is a big pastime in my area. (I cannot stand the...
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Sooo...why is it fun?
Beanbag tic-tac-toe in kindergarten sounds more exciting.
That's my point. I can't understand the appeal either, but it's...
2 Replies
779 Views
Last post by Nigel Fri Sep 03, 2004 7:15 pm
Abdul Alhazred's Go Fish challenge
by Skeptoid » Tue Aug 31, 2004 11:32 pm
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Got any threes? :D
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I have a trouser trout. Any comely young lasses may feel free to fish for it.
2 Replies
1062 Views
Last post by shemp Wed Sep 01, 2004 11:18 am
Who is Skeeve?
by tamiO » Mon Aug 02, 2004 6:39 pm
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... Upchurch being the apparent victim here...
I think we've finally figured out who's sock this Skeeve character is. Very funny, Upchurch. You can...
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I was always more partial to Bunny. And Tananda... even if she is a Trollop.
And while Skeeve isn't a pervert, he IS friends with one. (Oh I mean...
48 Replies
7041 Views
Last post by Marian Wed Sep 01, 2004 3:12 am
Strawberries
by Sentzeu » Sun Aug 29, 2004 12:44 am
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Consider a ring of N strawberries. A little girls starts at a strawberry eats it and then skips the second one and eats the third, skips the fourth...
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This one in particular I got from an old Georg Mohr task, when I posted this particular puzzle I was to tired to make anything by myself.
Have never...
5 Replies
1278 Views
Last post by DanishDynamite Mon Aug 30, 2004 8:20 pm
A whole lot of 1's
by DanishDynamite » Wed Aug 25, 2004 10:34 pm
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Okay, this is a toughie. In fact, I couldn't solve it myself and had to look at the answer. Still, I have some faith in the brainpower available...
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Yikes! This little puzzle has certainly expanded. And in some very interesting directions. Great stuff, xouper!
And Cool Hand, perhaps its time you...
30 Replies
3737 Views
Last post by DanishDynamite Mon Aug 30, 2004 8:12 pm
Square of 16
by DanishDynamite » Wed Aug 11, 2004 8:56 pm
First post
I hesitate to post this puzzle as it is liable to be besmirched by ceptimus's brute force computer. :)
Nevertheless:
For which whole numbers N > 1...
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Well done, xouper. Finally, this baby has been attended to in the manner it deserved. :)
5 Replies
1152 Views
Last post by DanishDynamite Mon Aug 30, 2004 8:08 pm
Palindromes
by Sentzeu » Thu Aug 26, 2004 6:18 pm
First post
Hi to you all, this is my first post. Here's the first math puzzle that I've ever submitted.
Can any palindrom with an 2n number of digits be...
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I encountered this problem in a programming competetion.
We had to write a program that would find all palindromic primes up to 1000000. The first...
3 Replies
914 Views
Last post by Sentzeu Thu Aug 26, 2004 7:42 pm
Poker problem
by RCC » Wed Aug 25, 2004 5:29 pm
First post
Oldie but a classic:
You are playing limit 7 card stud against a few slightly weak but not stupid players. After 5 cards the pot is quite large......
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Ah ha. I didn't know you could check in 7 card stud.
<- noob
I see why checking is the right move, but it still astounds me that an intelligent...
6 Replies
1287 Views
Last post by RCC Thu Aug 26, 2004 7:36 pm
The Challenge Hand Review Thread
by RCC » Fri Aug 20, 2004 5:07 pm
First post
Where I review the hands played in the challenge, and try to see how many people I can bore and upset at the same time. 8)
Hand 1:
Most...
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Much of this is mysterious to me.
Meaning... It is my general sense that there is more art than science involved in mastering this game.
My...
10 Replies
1692 Views
Last post by RCC Wed Aug 25, 2004 3:04 am
What's the significance of this?
by whitefork » Thu Aug 12, 2004 12:36 pm
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It's a zipped Excel spreadsheet. What's it mean?
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Just out of curiousity, did you happen to know that or did you research it?
My source was E: The Story of a Number by Maor - he describes the method...
6 Replies
1392 Views
Last post by Sundog Tue Aug 24, 2004 7:20 pm
1 to 9
by DanishDynamite » Wed Aug 11, 2004 8:15 pm
First post
I wish I knew how to post diagrams in this place. This problem is somewhat difficult to describe without a diagram. Anyway, here goes...
Imagine a...
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Yeah, except Cecil did it more succinctly and many days earlier... oh well.
All I can say is that I really didn't look at Cecil's answer first.
14 Replies
1966 Views
Last post by Beleth Sat Aug 21, 2004 12:49 am
Circle of 10
by DanishDynamite » Tue Aug 17, 2004 4:02 pm
First post
For some unknown reason, ceptimus has written the following numbers on 10 pieces of paper: 1, 3, 4, 5, 7, 9, 11, 13, 15, and 17. Ceptimus now...
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The beauty of the computer version, is that with less than a minute's work, it can be altered to deal with any ten numbers, or indeed many more than...
4 Replies
1072 Views
Last post by ceptimus Wed Aug 18, 2004 11:29 pm
RCC's poker challenge: signup thread
by RCC » Fri Aug 13, 2004 7:14 pm
First post
This is the first attempt to hold a poker tournament on this very forum. The entry is free and first prize is a whopping $5 payable into a pokerstars...
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rebecca wrote
And by the way, I'm playing topless.
...and here I am stuck between Shemp and a soon-to-be Sammy Farha.
37 Replies
4937 Views
Last post by lofgeornost Tue Aug 17, 2004 1:47 am
poker follies
by varwoche » Tue Aug 03, 2004 4:25 pm
First post
I need a counseler. (Poker and/or psychological.)
I've been intruiged watching Texas Hold'em on TV. I'm also intruiged by gambling opportunities...
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Placing humour opportunity over common sense, I PRESTO'ed:
Lots of calls, comes to me, INSTANT raise. A couple of calls, a couple of folds.
Flop: A...
66 Replies
9517 Views
Last post by rebecca Mon Aug 16, 2004 4:07 pm
Slicing pizza
by DanishDynamite » Tue Aug 10, 2004 9:43 pm
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Bob and his mom love pizza. Hence, they buy a pizza which happens to be shaped as an equal sided triangle. Bob, being a spoiled brat, demands to not...
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Hmmmm. Not the presentation I expected. Oh well, at least the drawing is there.
8 Replies
1393 Views
Last post by DanishDynamite Sun Aug 15, 2004 2:22 pm
I'll try in puzzles: Physics of acrobatics
by tesseract » Sun Aug 15, 2004 6:11 am
I tried this over in Science, but it might fit better in puzzles.
OK, I need some help to resolve an argument.
First some definitions:
Flip:...
0 Replies
538 Views
Last post by tesseract Sun Aug 15, 2004 6:11 am
How many Calories?
by xouper » Sat Aug 14, 2004 9:34 am
First post
This should be an easy one.
Let's say you are swimming in a pool that has 64,000 gallons of water at a temperature of 80 degrees Fahrenheit. How...
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Well, a gallon is 3.785 liters and there's one kilogram to a liter of water. So your 64,000 gallons have a mass of 242240 kg.
A diet Calorie is also...
1 Replies
701 Views
Last post by Zombified Sat Aug 14, 2004 11:06 am
Cross sums.
by Cecil » Sat Aug 14, 2004 12:01 am
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A cross sum is a number puzzle similar to a crossword. Each box contains exactly one digit from 1 to 9 (no repeating digits in each word). The clue...
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Just found this.
It's a program that generates them on several different difficulty levels. :D
2 Replies
737 Views
Last post by Cecil Sat Aug 14, 2004 12:09 am
Looking for two puzzle books...need help.
by Andonyx » Thu Aug 12, 2004 3:51 pm
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Okay I realize that this is going to be like asking if you know which movie I'm thinking of that has that guy from that show that one time, so I...
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I had a similar book called MAZE . I never did solve it on my own, but years later I found a solution on the Internet... still, there are plenty of...
4 Replies
987 Views
Last post by Quester_X Thu Aug 12, 2004 10:16 pm
Flying the fast bird
by Skeeve » Wed Aug 11, 2004 10:10 pm
First post
An old math problem that I've encountered a few times along the way goes like this:
A bird flies at 60 mph. It's an amazing bird, it always goes 60...
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The two trains are approacing each other at 15 + 45 MPH = 60 MPH. They are 120 miles apart. They will therefore meet after 2 hours.
The bird flies...
5 Replies
1117 Views
Last post by En folkefiende Thu Aug 12, 2004 6:09 pm
WHo was first?
by latinijral » Fri Jul 23, 2004 4:55 am
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The egg or the chicken?
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PErhaps more to the philosophical, non-scientific point:
What came first: the can or the can openner?
Cans were around long before designated can...
10 Replies
1702 Views
Last post by bjornart Thu Aug 12, 2004 10:57 am
Squares
by DanishDynamite » Wed Aug 11, 2004 4:14 pm
First post
Prove that for any whole number N > 5, a square can be divided into N squares.
(I suspect this is the type of problem where you either see the...
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Beautiful. I was approaching that, but I don't think I could have made the argument so elegantly.
:clap:
6 Replies
1227 Views
Last post by gnome Thu Aug 12, 2004 12:01 am
The four parachutists
by ceptimus » Tue Jul 20, 2004 4:23 pm
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Three parachutists land at random positions within a large circular cornfield. Albert fears that Barbara hurt herself on landing, so he dumps his...
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Three parachutists land at random positions within a large circular cornfield. . . .
See, right away, you're off to a bad start since parachutists...
19 Replies
3271 Views
Last post by DanishDynamite Wed Aug 11, 2004 6:32 pm
Divisible by 11
by DanishDynamite » Mon Aug 09, 2004 3:20 pm
First post
Given that
a^2 + b^2 + 9ab
is divisible by 11 (a and b are whole numbers), prove that
a^2 - b^2
is also divisible by 11.
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Sorry, my algebra is rusty. (Or maybe it's just my brain in general that is rusty.)
Let's change that to X = b - a.
That will make b = a + X. The...
7 Replies
1812 Views
Last post by DanishDynamite Wed Aug 11, 2004 3:56 pm
3 circles and a tangent
by DanishDynamite » Sat Aug 07, 2004 1:03 am
First post
Suppose you have 3 unit circles (i.e radius = 1) whose centers are on a line and where each circle just touches at least one other circle. (Imagine 3...
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Nicely done, ceptimus. :)
I think your first solution is actually quite pleasing as well.
5 Replies
1301 Views
Last post by DanishDynamite Mon Aug 09, 2004 3:15 pm
What hat at tea?
by ceptimus » Thu Jul 22, 2004 7:31 am
First post
I'm no good at word puzzles, but this one just occurred to me - I suppose it's been done before though.
The idea is that successive words in a...
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Telling arcticpenguin to give away his poor-quality rap music, and listen to the king of keyboard instruments instead:
Scrap crap rap ap! Piano!
8 Replies
2027 Views
Last post by ceptimus Fri Aug 06, 2004 5:18 pm
Pegs in holes
by ceptimus » Sun Jul 25, 2004 9:18 am
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What fits best - a square peg in a round hole, or a round peg in a square hole?
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I did not have any criteria in mind. That was why I asked.
Dr. Stupid
You linear thinkers. :lol:
Can we get a definition of linear thinker here?...
12 Replies
2208 Views
Last post by DrMatt Mon Aug 02, 2004 4:07 pm
Pizza problem.
by Deetee » Fri Jul 30, 2004 4:54 pm
First post
Ceptimus was hungry,....very hungry.
Fortunately he did have a bit of cash and his route home from the 8th International Geometry Congress did pass...
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I'm going with Whim's solution, and filling in the blanks.
The arrangement that Whim describes should be familiar to those who have seen the...
3 Replies
1096 Views
Last post by Electric Monk Sun Aug 01, 2004 6:55 pm
A different pizza problem
by Cecil » Sat Jul 31, 2004 3:35 am
First post
Well, it would seem that the nth cut can always be arranged to cross each of the previous n-1 cuts, creating n extra pieces of pizza.
So with n...
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I suppose we are limiting this in the following ways:
* To two dimensions. Otherwise three cuts can result in eight pieces.
* Only straight planar...
2 Replies
1434 Views
Last post by ceptimus Sat Jul 31, 2004 7:47 am
The lazy electrician.
by ceptimus » Tue Jul 20, 2004 4:12 pm
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By a remarkable coincidence, the positions of Tommy's shed, garage and greenhouse lie at three of the corners of a 100-metre square; his house lies...
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If you're going to nitpick, get it right! :)
Having dug the trench, Tommy can easily run three separate wires through it: one to each of the...
12 Replies
2217 Views
Last post by WildCat Fri Jul 23, 2004 2:38 am
HEY WHERE DID ALL THIS GO????
by Skeeve » Tue Jul 20, 2004 2:54 am
First post
??????
Last post
Well, I hope this makes the spilt easier to deal with. :)
G6
2 Replies
869 Views
Last post by skeptica Wed Jul 21, 2004 8:34 pm
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