Skip to main content
MathOverflow
Dan's user avatar
Dan's user avatar
Dan's user avatar
Dan
  • Member for 2 years
  • Last seen this week
Profile Activity
Stats
3,507
reputation
35k
reached
6
answers
29
questions
Communities
View all
About

I like math questions that:

  • can be expressed concisely
  • contain few or no numbers
  • are challenging
Badges
View all badges
This user doesn’t have any gold badges yet.
9
silver badges
43
bronze badges
Top tags
View all tags
5
Score
12
Posts
34
Posts %
5
Score
8
Posts
23
Posts %
5
Score
3
Posts
9
Posts %
0
Score
12
Posts
34
Posts %
0
Score
7
Posts
20
Posts %
0
Score
6
Posts
17
Posts %
Top posts
View all questions and answers
question
41
Conjecture: If circular coins of any sizes are in a convex polygonal frame, with each coin touching exactly one edge, then all the coins can move
Jan 11, 2023
question
31
On average, how many uniformly random real numbers $u$ are needed for their sum to exceed $1$, if $u_1$ is in $(0,1)$ and $u_k$ is in $(0,eu_{k-1})$?
Feb 23, 2023
question
25
Does there exist a continuous function $f(x)$ such that $f(0)=0$ and $0<\lim_{n\to\infty}\prod_{k=1}^n f(k/n)<\infty$?
Nov 16, 2022
question
24
Find the area of the region enclosed by $\frac{\sin x}{\sin y}=\frac{\sin x+\sin y}{\sin(x+y)}$ and the $x$-axis (comes from a probability question)
Apr 15
question
22
We have $\binom{62}{26}^2+\binom{62}{27}^2=\binom{62}{28}^2$. How many other Pythagorean triples are contained in a single row of Pascal's triangle?
Sep 12
question
21
Conjecture: Given any five points, we can always draw a pair of non-intersecting circles whose diameter endpoints are four of those points
Nov 28, 2023
question
21
The "stained glass window problem": Draw many random chords in a circle; which kind of polygon ($3$-gon, $4$-gon, etc.) occupies the most total area?
Oct 22
question
16
Are there general principles that allow us to easily determine whether coins in simple arrangements in a frame can move?
Jan 12, 2023
question
16
Randomized Pascal's triangle: What is the average of all the numbers?
Sep 26
question
15
Conjecture: If equal size circular coins are in a convex polygonal frame, with each coin touching exactly one edge, then all the coins can move
Jan 12, 2023
Top network posts
View all network posts
104
"Almost true": non-trivial claims that have exactly one counterexample
71
Geometry question about a six-pack of beer
49
Geometry question about a six-pack of beer
46
Can a disk of area $1$ be completely covered by six disks of areas $\frac12,\frac13,\frac14,\frac15,\frac16,\frac17$?
45
Regular polygon of radius $1$ with diagonals: mysterious ring of radius $1/e$?