The two squares on the legs of a right triangle can be chopped up (or “dissected”) into several pieces that can be reassembled jigsaw-style into a square congruent to that whose side is the hypotenuse. If a plane region of some other shape than a square is used, with a side having the length of […]

Is it possible to divide an equilateral triangle into 5 equal (i.e., obtainable from each other by a rigid motion) parts?

Intereting Posts

Integrals and f(x)dx
Primes dividing a polynomial
$C(n,p)$: even or odd?
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Proving that $(\forall\epsilon>0)(\exists n,k\in\mathbb{N})(|\frac{n}{k}-\pi|<\frac{\epsilon}{k})$
$\mathbb S_n$ as semidirect product
Non-trivial nilpotent group has non-trivial center
Normal subgroups of $S_4$
Find all positive integers $n$ s.t. $3^n + 5^n$ is divisible by $n^2 – 1$
Find: The expected number of urns that are empty
X nonnegative and integral equal to zero implies measure of positive part zero
If modulus of each one of eigenvalues of $B$ is less than $1$, then $B^k\rightarrow 0$
Why are punctured neighborhoods in the definition of the limit of a function?
holomorphic functions and fixed points
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}$