User Oscar Lanzi - MathOverflow

29 votes

Accepted

1+2+3+4+… and −⅛

answered Feb 25, 2023 at 3:01

24 votes

Accepted

What is the largest subset of the sphere such that inner product of any two points in the set is nonnegative

answered Jan 11 at 21:24

17 votes

Finite set of non-collinear points on plane with every point having ≥ 3 equidistant neighbors?

answered Aug 5, 2022 at 1:05

11 votes

Accepted

Known configurations maximizing the volume of the convex hull of n points on the unit sphere

answered Aug 31, 2022 at 11:27

8 votes

Examples of theorems where numerical bounds on $\pi$ played a role

answered May 13 at 12:25

8 votes

Examples of theorems where numerical bounds on $\pi$ played a role

answered May 13 at 15:40

6 votes

An unpublished calculation of Gauss and the icosahedral group

answered May 13 at 23:49

6 votes

Can the sphere be partitioned into small congruent cells?

answered Sep 20, 2023 at 10:53

5 votes

Accepted

Billiard circuits in pentagons

answered Oct 5, 2023 at 0:49

5 votes

Can solutions to Thomson's problem have pentagons?

answered Sep 5, 2022 at 17:12

5 votes

Examples of unexpected mathematical images

answered Sep 7, 2022 at 23:57

5 votes

Examples of eventual counterexamples

answered Feb 14, 2016 at 2:46

4 votes

Subdivision of pentagon into six congruent pieces

answered Oct 11, 2022 at 16:56

4 votes

Accepted

The group of all units of integral cyclotomic ring

answered Aug 22, 2022 at 2:10

3 votes

Your favorite surprising connections in mathematics

answered Oct 14, 2022 at 19:44

3 votes

Let $(a_n)_{n\in N}=(1,2,3,4,6,8,9,12,\cdots)$ list the set$\{2^n3^m\mid m,n\in N\}$. Find $α$ such that $(a_n)\alpha\pmod1$ is not equidistributed

answered Nov 5, 2023 at 20:13

3 votes

Dissecting using a ruler and compass

answered Nov 9, 2023 at 1:12

3 votes

Is the matrix induced L1-norm greater than the induced L2-norm?

answered Oct 10, 2022 at 21:10

2 votes

Golden ratio in contemporary mathematics

answered Dec 16, 2022 at 14:43

2 votes

What makes a geometric construction more or less stable?

answered Dec 16, 2022 at 19:17

2 votes

Are the Platonic solids shadows of 4-polytopes?

answered Dec 30, 2022 at 21:16

2 votes

Oddities of evenness

answered Jun 2, 2023 at 17:15

2 votes

111...11 base p = 111...11 base q

answered Jul 31, 2023 at 10:15

2 votes

Not especially famous, long-open problems which anyone can understand

answered Sep 1, 2023 at 20:06

2 votes

What is the taxicab number for rational fourth powers?

answered Sep 5, 2023 at 13:25

2 votes

Why can we not find exact values for sizes of cap sets for $d>6$?

answered Dec 11, 2023 at 17:30

2 votes

Square-root lattices: where do they appear?

answered Sep 30, 2022 at 20:15

2 votes

Tetrahedra with prescribed face angles

answered Sep 13, 2022 at 21:01

2 votes

Is there a bicyclic irregular pentagon in integers?

answered May 17 at 18:02

2 votes

Equidistribution of $(2^nx)$, $x$ irrational

answered Mar 12, 2023 at 0:17

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43 Answers

1+2+3+4+… and −⅛

What is the largest subset of the sphere such that inner product of any two points in the set is nonnegative

Finite set of non-collinear points on plane with every point having ≥ 3 equidistant neighbors?

Known configurations maximizing the volume of the convex hull of n points on the unit sphere

Examples of theorems where numerical bounds on $\pi$ played a role

Examples of theorems where numerical bounds on $\pi$ played a role

An unpublished calculation of Gauss and the icosahedral group

Can the sphere be partitioned into small congruent cells?

Billiard circuits in pentagons

Can solutions to Thomson's problem have pentagons?

Examples of unexpected mathematical images

Examples of eventual counterexamples

Subdivision of pentagon into six congruent pieces

The group of all units of integral cyclotomic ring

Your favorite surprising connections in mathematics

Let $(a_n)_{n\in N}=(1,2,3,4,6,8,9,12,\cdots)$ list the set$\{2^n3^m\mid m,n\in N\}$. Find $α$ such that $(a_n)\alpha\pmod1$ is not equidistributed

Dissecting using a ruler and compass

Is the matrix induced L1-norm greater than the induced L2-norm?

Golden ratio in contemporary mathematics

What makes a geometric construction more or less stable?

Are the Platonic solids shadows of 4-polytopes?

Oddities of evenness

111...11 base p = 111...11 base q

Not especially famous, long-open problems which anyone can understand

What is the taxicab number for rational fourth powers?

Why can we not find exact values for sizes of cap sets for $d>6$?

Square-root lattices: where do they appear?

Tetrahedra with prescribed face angles

Is there a bicyclic irregular pentagon in integers?

Equidistribution of $(2^nx)$, $x$ irrational