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Mathematics
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Dan's user avatar
Dan's user avatar
Dan
  • Member for 7 years, 6 months
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My avatar comes from my question "Product of areas in a disk".

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52
Geometry question about a six-pack of beer
Jun 30
46
Can a disk of area $1$ be completely covered by six disks of areas $\frac12,\frac13,\frac14,\frac15,\frac16,\frac17$?
Jan 19
45
Regular polygon of radius $1$ with diagonals: mysterious ring of radius $1/e$?
Dec 3, 2022
45
Intuition is silent: Find the probability that the smallest circle enclosing $n$ random points on a disk lies completely on the disk, as $n\to\infty$.
Nov 3, 2023
43
A disc contains $n$ random points. Each point is connected to its nearest neighbor. What does the average cluster size approach as $n\to\infty$?
Jan 15
38
Crazy fact(?) about circles drawn on base of triangle between cevians: they always fit, no matter what their order?
Jun 1, 2023
36
What is the mean value of $|\sin x +\sin (\pi x)|$?
Jul 17, 2023
34
Conjecture: Given any five points, we can always draw a pair of non-intersecting circles whose diameter endpoints are four of those points.
Nov 18, 2023
33
What's wrong with this picture? Impossible circles.
Nov 26, 2023
32
Geometry question about a six-pack of beer
2 days ago
Top Meta posts
11
1
34
Someone's answer is completely copied and pasted from my answer, and their answer got accepted.
17
Which posts have a high value of $\min(\text{upvotes, downvotes})$?
16
I suspect an answer to my question was generated by AI. What should I do?
10
Are users obligated to read (or at least skim) existing answers before posting a new answer?
9
How can I make this question title less clickbaity? "Weird geometry problem with very elegant result"
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40
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
32
‘Lies to children’ in mathematics and statistics education
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 $(0,eu_{k-1})$?
28
Is it fair to have follow-up interviews after a test following suspicions of cheating?
25
Does there exist a continuous function $f(x)$ such that $f(0)=0$ and $0<\lim_{n\to\infty}\prod_{k=1}^n f(k/n)<\infty$?