Question

If there are $n$ points in a plane and no three of them are collinear, then find Total no of intersection of the lines joining these $n$ points.

score 506 · Answer 1 · 2021-08-10 11:25:22

506

Views

If there are $n$ points in a plane and no three of them are collinear, then find Total no of intersection of the lines joining these $n$ points.

Published on 10 Aug 2021 - 11:25

score 177 · Answer 2 · 2021-08-12 06:28:56

177

Views

Can every tree with total length $2$ be covered by a semi-disc of radius $1$?

Published on 12 Aug 2021 - 6:28

score 83 · Answer 3 · 2021-08-15 08:59:11

83

Views

Given 1003 points on the plane, there are at least 2003 pairs which can be surrounded by closed balls containing no other points.

Published on 15 Aug 2021 - 8:59

score 27 · Answer 4 · 2021-08-18 14:53:28

27

Views

Dual version of a generalization of Erdös-Beck theorem

Published on 18 Aug 2021 - 14:53

score 74 · Answer 5 · 2021-08-19 14:18:37

74

Views

Hyperplanes intersecting Ball

Published on 19 Aug 2021 - 14:18

score 407 · Answer 6 · 2021-08-20 09:33:02

407

Views

Combinatorial Geometric proof of $\binom{\binom{n}{2}}{3} > \binom{\binom{n}{3}}{2}$

Published on 20 Aug 2021 - 9:33

score 69 · Answer 7 · 2021-08-27 19:03:29

69

Views

Sawtooth-like polygonal chains in $\mathbb R^2$ must self-intersect.

Published on 27 Aug 2021 - 19:03

score 20 · Answer 8 · 2021-09-04 14:13:00

20

Views

Reference for Monochromatic Triangles version of the Hadwiger–Nelson problem

Published on 04 Sep 2021 - 14:13

score 392 · Answer 9 · 2026-03-28 22:36:58

392

Views

Does a random set of points in the plane contain a large empty convex polygon?

Published on 28 Mar 2026 - 22:36

score 77 · Answer 10 · 2026-03-25 12:17:20

77

Views

What are the basic next steps to tropicalize a curve of degree $6$ (ideally using any CAS)?

Published on 25 Mar 2026 - 12:17

score 1k · Answer 11 · 2021-09-24 04:15:47

1k

Views

Find number of arrangements of a cube if sum of numbers on each face must be same

Published on 24 Sep 2021 - 4:15

score 48 · Answer 12 · 2026-03-25 12:21:13

48

Views

How do I interpret the tropicalized curves (one of degree $6$ and one of degree $8$)?

Published on 25 Mar 2026 - 12:21

score 67 · Answer 13 · 2026-03-28 03:53:08

67

Views

What is a selection protocol for choosing from n teams so all teams play k other teams?

Published on 28 Mar 2026 - 3:53

score 21 · Answer 14 · 2021-10-19 15:13:43

21

Views

Existence of inscribed polygon in positive measure sets

Published on 19 Oct 2021 - 15:13

score 163 · Answer 15 · 2021-10-24 17:39:50

163

Views

$L$ is a finite set of lines in general position. Determine the number of discs inscribed in triangles enclosed by each triple of lines in $L$.

Published on 24 Oct 2021 - 17:39

List Question

If there are $n$ points in a plane and no three of them are collinear, then find Total no of intersection of the lines joining these $n$ points.

Can every tree with total length $2$ be covered by a semi-disc of radius $1$?

Given 1003 points on the plane, there are at least 2003 pairs which can be surrounded by closed balls containing no other points.

Dual version of a generalization of Erdös-Beck theorem

Hyperplanes intersecting Ball

Combinatorial Geometric proof of $\binom{\binom{n}{2}}{3} > \binom{\binom{n}{3}}{2}$

Sawtooth-like polygonal chains in $\mathbb R^2$ must self-intersect.

Reference for Monochromatic Triangles version of the Hadwiger–Nelson problem

Does a random set of points in the plane contain a large empty convex polygon?

What are the basic next steps to tropicalize a curve of degree $6$ (ideally using any CAS)?

Find number of arrangements of a cube if sum of numbers on each face must be same

How do I interpret the tropicalized curves (one of degree $6$ and one of degree $8$)?

What is a selection protocol for choosing from n teams so all teams play k other teams?

Existence of inscribed polygon in positive measure sets

$L$ is a finite set of lines in general position. Determine the number of discs inscribed in triangles enclosed by each triple of lines in $L$.

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