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mathlove

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earned this badge 17 times.

Tetrahedra passing through a hole

Awarded Feb 28, 2021 at 13:40

On maximal regular polyhedra inscribed in a regular polyhedron

Awarded Oct 28, 2020 at 22:20

Proving $\sum_{k=0}^{2m}(-1)^k{\binom{2m}{k}}^3=(-1)^m\binom{2m}{m}\binom{3m}{m}$

Awarded Jul 5, 2016 at 8:59

Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$

Awarded Dec 15, 2015 at 3:23

Arranging numbers from $1$ to $n$ such that the sum of every two adjacent numbers is a perfect power

Awarded Mar 12, 2015 at 8:48

Making a convex polyhedron with two sheets of paper

Awarded Mar 13, 2014 at 7:52

About a solid which satisfies $\sum_{i=1}^{n}x_i=0, |x_i|\le1\ (i=1,2,\cdots,n)$

Awarded Jan 13, 2014 at 2:28

If $\beta=0.{a_1}^{k}{a_2}^{k}{a_3}^{k}\cdots\in\mathbb Q$, then $\alpha=0.a_1a_2a_3\cdots\in\mathbb Q$?

Awarded Dec 10, 2013 at 22:28

About the ratio of the areas of a convex pentagon and the inner pentagon made by the five diagonals

Awarded Dec 8, 2013 at 15:10

Can we simplify $\int_{0}^{\infty}\frac{{\sin}^px}{x^q}dx$?

Awarded Dec 2, 2013 at 7:56

A special tessellation

Awarded Nov 22, 2013 at 1:13

If $\left(1^a+2^a+\cdots+n^{a}\right)^b=1^c+2^c+\cdots+n^c$ for some $n$, then $(a,b,c)=(1,2,3)$?

Awarded Oct 12, 2013 at 6:18

Does this sequence always give an integer?

Awarded Oct 1, 2013 at 5:19

Letting $S(m)$ be the digit sum of $m$, then $\lim_{n\to\infty}S(3^n)=\infty$?

Awarded Sep 27, 2013 at 6:38

What is the max of $n$ such that $\sum_{i=1}^n\frac{1}{a_i}=1$ where $2\le a_1\lt a_2\lt \cdots\lt a_n\le m$?

Awarded Sep 17, 2013 at 5:11

Prove that ${\sqrt2}^{\sqrt2}$ is an irrational number without using a theorem

Awarded Aug 2, 2013 at 1:40

Proving that every term of the sequence is an integer

Awarded May 29, 2013 at 12:50

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