Remember to keep on trying avistew's part A guys!!!
Anyway here's quite a nice one:
I want to be able to show the day of the month at any time using two dice. (showing the first of the month as 01, not just 1.) What numbers do I put on each die?
Anyway here's quite a nice one:
I want to be able to show the day of the month at any time using two dice. (showing the first of the month as 01, not just 1.) What numbers do I put on each die?
Let's see... We need numbers from 0 to 9, but the tens only need to go up to 3. So you put 0-3 on one, but you'll never need 00, so you only need one 0, so the other only needs 1, 2 and 3... Wait, you never need 33 either... However you need 30, so one gets 0, 1, 2 and the other gets 1, 2, 3...
Then, we need to have 4-9 added. I'd say they can go on either, just put three on each.
Ok here is a strange puzzle a relative taught me.
It makes no physical sense but you can still get it I guess.
You are in a box there is no exits in anyway. All there is is a mirror and a table, neither the mirror nor the table can brake the box and get you out. How do you get out.
You look in the mirror and remember what you saw. You use that saw to cut the table in two. Two halves make a whole. Shout until your voice is hoarse. Ride that horse out the hole and have a sniff around to acquire the scent. Invest that cent wisely and before long you'll have enough money to write a cheque. Go out with the Czech and make sure she loves you too. Of the two, find out which is father. Ask that father if it's ok to marry the Czech.
You now are not only free, but are rich and have a foreign wife. Well done.
You look in the mirror and remember what you saw. You use that saw to cut the table in two. Two halves make a whole. Shout until your voice is hoarse. Ride that horse out the hole and have a sniff around to acquire the scent. Invest that cent wisely and before long you'll have enough money to write a cheque. Go out with the Czech and make sure she loves you too. Of the two, find out which is father. Ask that father if it's ok to marry the Czech.
You now are not only free, but are rich and have a foreign wife. Well done.
Dang it:eek:. in reality anything horse onward you didnt need but nice.
You are in a box there is no exits in anyway. All there is is a mirror and a table, neither the mirror nor the table can brake the box and get you out. How do you get out.
I say "the way you got in".
Also, a hint for my match one: Tabletop RPG gamers have an edge over other people for figuring it out.
Two intertwined equilateral triangles, where the "top" of one triangle touches the "bottom" of the other, and vice versa.
On B:
Wouldn't a Star of David make six equilateral triangles like you originally posted?
No, six small ones and two big ones, so eight altogether. I'm not sure if your solution is indeed equilateral triangles but I'm guessing if they are there are six of them. Either way, that's not the solution I was looking for, but that's definitely an interesting suggestion.
No, six small ones and two big ones, so eight altogether. I'm not sure if your solution is indeed equilateral triangles but I'm guessing if they are there are six of them. Either way, that's not the solution I was looking for, but that's definitely an interesting suggestion.
Ah, I didn't even think of the bigger ones. Yeah, they are equilateral, but like you said, there are six of them when you count the two big ones.
where ADC = ABC = 60 degrees. Join corners A and C. Join lines AB and CD with a match parallel to AD and BC. Call the point where the last two matches meet X, the point where the last match meets AB Y and the point where the last match meets CD Z.
We have equilateral triangles ACD, ACB, AXY and CXZ.
That looks super complicated and I have no clue if they're equilateral or not, but that's not the answer I'm looking for.
Just like the answer to B, the answer to A can be given with words, without any drawing or anything involved. If that helps. I'll even accept both the tabletop RPG term and the geometry one.
Here's an attempt at some more descriptive ASCII art of my solution:
...____
../\/.../
././\../
/_/_\/
It consists of two large equilateral triangles, where one is upside down, and they share one match. The sixth match can be anywhere, touching the top and bottom line, but must be parallel to the left and right side.
Ah, I see. Looks good to me. Congrats then! Wasn't the solution I was looking for (mine has 4 equilateral triangles that are the same size, and doesn't require any calculating) but if it works you get points. Want to try and figure out the one I had in mind or should I give the solution?
Here is a hint:
Every side of every triangle is one match. That's why you don't need to calculate anything, since all matches are the same size.
This is what bamse has done:
I followed his instructions XD It does work. Just not especially nice, and the triangles are different sizes, and two matches cross.
Comments
You got it right, congratulations!
Avistew, yours is wrong because diagonals also count
Now, I'm going to get some matches to solve yours, Avistew...
I did a....
When is a square not a square?
0 squared...
Anyway here's quite a nice one:
I want to be able to show the day of the month at any time using two dice. (showing the first of the month as 01, not just 1.) What numbers do I put on each die?
Maybe the town just ahead is where the owner lives, and he'd rather bring more money into the local economy from outsiders?
Let's see... We need numbers from 0 to 9, but the tens only need to go up to 3. So you put 0-3 on one, but you'll never need 00, so you only need one 0, so the other only needs 1, 2 and 3... Wait, you never need 33 either... However you need 30, so one gets 0, 1, 2 and the other gets 1, 2, 3...
Then, we need to have 4-9 added. I'd say they can go on either, just put three on each.
Does that work?
Oooh, that's the good idea! instead of 9, add 0 to that die too.
I was thinking in matter of dots, silly me.
It makes no physical sense but you can still get it I guess.
You are in a box there is no exits in anyway. All there is is a mirror and a table, neither the mirror nor the table can brake the box and get you out. How do you get out.
You now are not only free, but are rich and have a foreign wife. Well done.
Dang it:eek:. in reality anything horse onward you didnt need but nice.
I say "the way you got in".
Also, a hint for my match one: Tabletop RPG gamers have an edge over other people for figuring it out.
|><|
Two intertwined equilateral triangles, where the "top" of one triangle touches the "bottom" of the other, and vice versa.
On B:
A___B
/ /
/___/
D C
where ADC = ABC = 60 degrees. Join corners A and C. Join lines AB and CD with a match parallel to AD and BC. Call the point where the last two matches meet X, the point where the last match meets AB Y and the point where the last match meets CD Z.
We have equilateral triangles ACD, ACB, AXY and CXZ.
Just like the answer to B, the answer to A can be given with words, without any drawing or anything involved. If that helps. I'll even accept both the tabletop RPG term and the geometry one.
../\/.../
././\../
/_/_\/
It consists of two large equilateral triangles, where one is upside down, and they share one match. The sixth match can be anywhere, touching the top and bottom line, but must be parallel to the left and right side.
Here is a hint:
I followed his instructions XD It does work. Just not especially nice, and the triangles are different sizes, and two matches cross.
How do you get seven as the result of dividing twelve by two?
When you suck at math and don't have a calculator?