A rectangular field has width $a$ and length $a+1$. We cut it into 3 triangles that all have integer side lengths. If all triangles have a different area, then what’s the minimum value of $a$? Please don’t use computers.
PSA: C4 Archive has been updated to the start of the year. Volunteers happily invited to take a turn at doing the next one/two/six days/weeks/months...
Across
1. Gershwin recalled a song (4)
5. Musical intervals the net has essentially ignored (6)
12. Scavanger of old is trapped in darkness – poor lad (7)
13. Rearranged 1 across missing a distinctive quality (3)
14. One unfinished toy becomes graven image (4)
16. Set out time for a type of matc...
There is a machine, which when you put a number card which has written $x$ on it, it will output a number card with $$x^2+10x+20$$ on it. John has a number card on his hand, then repeated the following procedure ten times:
Put the card on his hand in the machine, and get the output.
John found...
(also, i'm assuming that the '0' means that the cryptic clue has slight inelegancies/breaks cryptic clue construction standards in one way or another.)
Help four ghosts find each other in a haunted house. I just finished adding a
new puzzle to Donimoes, my collection of domino puzzles and games, so I
thought I would post a few bonus problems here. The puzzle is Mirror Donimoes,
and the ghosts are four pawns that walk around on top of the dominoe...
So the 6s challenge consist of taking a number from 0 to 10 and, using only "common" operations and the number three times, obtaining the number 6.
For example: $(0!+0!+0!)! = 6$ and $(4 - (4/4))! = 6$.
Now, for all the numbers from 0 to 7 you can find a solution that doesn't involve using any ro...
My first is like an octopus, her moves are one to envy.
My second is a language whose, land spans far and plenty.
My third is not a minor now, divided by a penny.
And as a bonus - find my secret, shared among age twenty.
Who am I?
You must explain how each part of the riddle relates to the ans...
Anagram is needed, and it will answer: What Masyu do with the antique clock?
There is a machine, which when you put a number card which has written $x$ on it, it will output a number card with $$x^2+10x+20$$ on it. John has a number card on his hand, then repeated the following procedure ten times:
Put the card on his hand in the machine, and get the output.
John found...
I am an odd number.
When you take away two,
I become even.
What am I?
My first is like an octopus, her moves are one to envy.
My second is a language whose, land spans far and plenty.
My third is not a minor now, divided by a penny.
And as a bonus - find my secret, shared among age twenty.
Who am I?
You must explain how each part of the riddle relates to the ans...
