Math Forum / Mathematics / Recreational Math / July 2006

If the the heights of the corridors is specified as 3 metres, what would the maximum length of the tube be then ?

I have the solution to a puzzle i've been working on for a while that i think you might like:
You have 52 playing cards (26 red, 26 black). You draw cards one by one. A red card pays you a dollar. A black one fines you a dollar. You can stop any time you want. Cards are not ...

du eto tha fact that the earths rotation ids 24 hours and the moon's
orbital period is 28 days. the tides on the earth are leading the moon.
that is, the tide will rise to maximum and then, some minutes later,the
moon will pass overhead. this situation also leads to the earth ...

Hello Maple fandom,
None of Maple versions can calculate it directly...
Is there a person who can show a way to get *using Maple*
the exact value of this limit

Suppose that a,b,c,d are positive integers such that
a^2+b^2 =cd . What about  a,b ?

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               http://www.stephenwolfram.com/
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A.(easy?) Medians' spiral
In the (acute-angle) triangle ABC with sides a=BC, b=CA, c=AB,
draw the infinite clock-wise spiral of medians:
m1 = CD ( AD = DB),

Two persons were talking themselves with out knowing that that tower
clock is set one hour back coz of the summer days.
Person A; when shall we meet again?
Person B: it takes 10 seconds for the Tower clock to strike one hour so

The "Summer Triangle" of the three stars Altair, Vega, and Deneb is pictured at
http://www.souledout.org/nightsky/summertriangle/summertriangle.html .
(Or, failing that, go outside and look up at the night sky.)
How close to a 3-4-5 Pythagorean triangle is the Summer Triangle?

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Hi Everybody, after some more thoughts, I decided to rephrase (again) and repost a third time my "puzzle". Be warned, it is not a pure geometrical or math puzzle, but the math may be heavy after you discover the solution. It runs like this:
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 A friend of mine living in ...

Heights' spiral
In the triangle ABC with sides a=BC, b=CA, c=AB,
draw the infinite  clock-wise spiral of heights:
h1=CD ( CD _|_ AB),

The Mathematics Of A Lampshade
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or
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Thank you for your responses. I hope that I will remember the lesson:
If it's that hard to believe, I didn't hear what the speaker said.
What spread sheet?
     I have seen Question 1 before and believe that I solved it, but

Maybe this is old news to most of you, but it was new to me:
http://www.josleys.com/articles/printgallery.htm
-- Mark Spahn