For Chemex solution, assume the unfolded paper circle has radius r and circumference pi*r. After folding, the resulting cone has three plys of paper on the left and one ply on the right. So the circumference of the cone's circular base is (pi*r/2). Aha!
If the circumference is (pi*r/2), then radius must be (r/2). Now we have a right triangle to analyze, whose hypotenuse is r, whose base is (r/2), and whose angle is half of the cone angle THETA.
The half angle of the cone is arcsin( (r/2) / r ) = arcsin (1/2). Thus THETA = 2 * arcsin(0.5) . Done. The angle happens to be an integer, which is fun.
If the circumference is (pi*r/2), then radius must be (r/2). Now we have a right triangle to analyze, whose hypotenuse is r, whose base is (r/2), and whose angle is half of the cone angle THETA.
The half angle of the cone is arcsin( (r/2) / r ) = arcsin (1/2). Thus THETA = 2 * arcsin(0.5) . Done. The angle happens to be an integer, which is fun.
Not something to lighten the mood, but doesn't C = 2πr?
Oops, right. Here's the correction.
... assume the unfolded paper circle has radius r and circumference 2*pi*r. After folding, the resulting cone has three plys of paper on the left and one ply on the right. So the circumference of the cone's circular base is (2*pi*r/2). Aha!
If the circumference is (2*pi*r/2), then radius must be (r/2). Now we have a right triangle to analyze, whose hypotenuse is r, whose base is (r/2), and whose angle is half of the cone angle THETA.
The half angle of the cone is arcsin( (r/2) / r ) = arcsin (1/2). Thus THETA = 2 * arcsin(0.5) . Done. The angle happens to be an integer, which is fun.
Member 6L6 solved it by text message, using equilateral triangles.
... assume the unfolded paper circle has radius r and circumference 2*pi*r. After folding, the resulting cone has three plys of paper on the left and one ply on the right. So the circumference of the cone's circular base is (2*pi*r/2). Aha!
If the circumference is (2*pi*r/2), then radius must be (r/2). Now we have a right triangle to analyze, whose hypotenuse is r, whose base is (r/2), and whose angle is half of the cone angle THETA.
The half angle of the cone is arcsin( (r/2) / r ) = arcsin (1/2). Thus THETA = 2 * arcsin(0.5) . Done. The angle happens to be an integer, which is fun.
Member 6L6 solved it by text message, using equilateral triangles.
Getting pee-trouble did it for me. Regular trips to drop trousers for the urologist and his staff shamed me enough to buy new.
Jeez Dave, that seems like some pretty complicated underw- Oh uh, never mind.
(Pretty good idea actually) 🙂
(Pretty good idea actually) 🙂
Hey it's Christmas soon, AKA socks and underwear season in my world. That's all the big man ever seems to leave for me. Maybe a Polo shirt if I've been extra good.
I've often wondered how long I would be sentenced to the dog house if I bought a six pack of panties for the Mrs.
Frightening, truly frightening.
I strongly recommend it. Just be sure it is the right size and woman! (2 sizes too small!)
Not exactly mood lifting but I laughed nonetheless. A sign in a (fill in the blank)
If you touch my:
Woman
Beer
or
Toolbox
I will slap you so hard even Google won’t be able to find you.
If you touch my:
Woman
Beer
or
Toolbox
I will slap you so hard even Google won’t be able to find you.
Which reminds of Tommy Cooper, the great British comedian who also went to see the dentist ...
Mrs Claus arrived home yesterday with a dozen pairs of underwear. Now I can retire my stapler. You know, the one I used to staple the elastics a little tighter and mend the holes.
Hehe, now I know she reads what I type. There’s just no way that’s a coincidence.
Hehe, now I know she reads what I type. There’s just no way that’s a coincidence.
Bawbags are a must for Christmas!
"Bawbags' mission is to keep the nation's baws tidy and raise money for cancer charities at the same time!"
"Bawbags' mission is to keep the nation's baws tidy and raise money for cancer charities at the same time!"
Sometimes, I leave the 1-5-8-9 pins, which I believe is termed "C*ck and Balls". 😀
Just don't mention 'Dead Wood'! 😱