User Mohammad Ghomi

44 votes

Accepted

Shortest closed curve to inspect a sphere

answered Oct 29, 2020 at 19:53

40 votes

What is the best way to draw curvature?

answered Nov 18, 2020 at 21:15

21 votes

Shortest closed curve to inspect a sphere

answered May 1, 2016 at 1:29

21 votes

Accepted

A very torsioned closed curve in space

answered May 10, 2016 at 23:34

17 votes

How should you explain parallel transport to undergraduates?

answered Mar 29, 2021 at 4:06

15 votes

Geodesics on the sphere

answered Jan 14, 2019 at 13:46

14 votes

Accepted

Covering the unit sphere in $\mathbf{R}^n$ with $2n$ congruent disks

answered Aug 31, 2022 at 1:55

13 votes

Shortest closed curve to inspect a sphere

answered Apr 18, 2016 at 22:38

13 votes

Accepted

Tubular Neighborhood Theorem for $C^1$ Submanifold

answered Nov 20, 2017 at 16:49

12 votes

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

answered Oct 14, 2017 at 3:27

12 votes

Squaring a square and discrete Ricci flow

answered Dec 4, 2020 at 20:07

12 votes

Contractibility of the space of Jordan curves

answered Jun 18, 2023 at 1:21

11 votes

Riemann's formula for the metric in a normal neighborhood

answered Jan 21, 2022 at 4:33

10 votes

Accepted

Can we approximate any open set by sub-domains with smooth boundary?

answered Oct 22, 2017 at 14:26

8 votes

The geometry of Nadirashvili's complete, bounded, negative curvature surface

answered Oct 23, 2017 at 2:38

8 votes

A necessary and sufficient condition for a space curve to lie on a ellipsoid

answered Mar 28, 2018 at 3:26

7 votes

Does this property characterize straight lines in the plane?

answered Nov 16, 2020 at 18:32

7 votes

Accepted

Busemann-Feller lemma in hyperbolic space

answered Jul 8, 2021 at 3:56

7 votes

On convergence of convex bodies

answered Oct 3, 2017 at 17:34

6 votes

Self-Intersection of closed curves

answered May 17, 2016 at 5:40

6 votes

Convex hull with genus information

answered May 31, 2017 at 3:55

6 votes

What is known about sufficient conditions for the rigidity of a convex surface?

answered Nov 19, 2018 at 21:44

6 votes

Must a bending of the cylinder leave the bases planar?

answered Mar 21, 2018 at 15:55

5 votes

Does Riemann map depend continuously on the domain?

answered May 14, 2017 at 3:32

5 votes

Does every convex polyhedron have a combinatorially isomorphic counterpart whose faces all have rational areas?

answered Oct 5, 2017 at 21:32

5 votes

Accepted

Extend space to make polyhedra convex hulls of finite sets

answered Oct 6, 2017 at 21:01

5 votes

Who says understanding physics helps mathematicians? (A reference request) [Take the word "who" literally.]

answered May 20 at 22:09

4 votes

Unlinked interlocking planar polygons

answered Jan 23, 2022 at 14:55

4 votes

Accepted

Can every surface be realized as a mean convex hypersurface in $\mathbb{R}^3$?

answered Feb 22 at 15:14

4 votes

Rigidity of convex polyhedrons in $\mathbb R^3$ with faces removed

answered Oct 20, 2017 at 1:24

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49 Answers

Shortest closed curve to inspect a sphere

What is the best way to draw curvature?

Shortest closed curve to inspect a sphere

A very torsioned closed curve in space

How should you explain parallel transport to undergraduates?

Geodesics on the sphere

Covering the unit sphere in $\mathbf{R}^n$ with $2n$ congruent disks

Shortest closed curve to inspect a sphere

Tubular Neighborhood Theorem for $C^1$ Submanifold

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

Squaring a square and discrete Ricci flow

Contractibility of the space of Jordan curves

Riemann's formula for the metric in a normal neighborhood

Can we approximate any open set by sub-domains with smooth boundary?

The geometry of Nadirashvili's complete, bounded, negative curvature surface

A necessary and sufficient condition for a space curve to lie on a ellipsoid

Does this property characterize straight lines in the plane?

Busemann-Feller lemma in hyperbolic space

On convergence of convex bodies

Self-Intersection of closed curves

Convex hull with genus information

What is known about sufficient conditions for the rigidity of a convex surface?

Must a bending of the cylinder leave the bases planar?

Does Riemann map depend continuously on the domain?

Does every convex polyhedron have a combinatorially isomorphic counterpart whose faces all have rational areas?

Extend space to make polyhedra convex hulls of finite sets

Who says understanding physics helps mathematicians? (A reference request) [Take the word "who" literally.]

Unlinked interlocking planar polygons

Can every surface be realized as a mean convex hypersurface in $\mathbb{R}^3$?

Rigidity of convex polyhedrons in $\mathbb R^3$ with faces removed