Question

What is the largest disk that will be completely covered by randomly placed disks of areas $1,\frac12,\frac13,\dots$ with probability $1$?

score 1k · Answer 1 · 2026-04-15 10:43:22

1k

Views

What is the largest disk that will be completely covered by randomly placed disks of areas $1,\frac12,\frac13,\dots$ with probability $1$?

Published on 15 Apr 2026 - 10:43

score 161 · Answer 2 · 2026-04-14 20:20:52

161

Views

Conjecture: Given any $2n+1$ points, we can always draw $n$ non-intersecting circles whose diameter endpoints are $2n$ of those points.

Published on 14 Apr 2026 - 20:20

score 16 · Answer 3 · 2026-04-08 19:43:25

16

Views

Help understanding possibly incomplete proof in coordinate geometry of one-parameter family of circles

Published on 08 Apr 2026 - 19:43

score 53 · Answer 4 · 2026-04-09 14:00:41

53

Views

How to prove a circle in the complex plane tangent to the real axis at the origin is invariant by the function $\frac{\omega}{1-\omega}$?

Published on 09 Apr 2026 - 14:00

score 33 · Answer 5 · 2026-04-12 09:22:31

33

Views

Geometry: Show that 2 lines are perpendicular

Published on 12 Apr 2026 - 9:22

score 54 · Answer 6 · 2026-04-14 10:53:15

54

Views

Triangulating the surface of intersection of a sphere with edges of a cube

Published on 14 Apr 2026 - 10:53

score 138 · Answer 7 · 2026-04-15 04:53:58

138

Views

Proving that the cyclic quadrilateral $ABCD$ is a parallelogram, and thus it is a rectangle.

Published on 15 Apr 2026 - 4:53

score 7.1k · Answer 8 · 2026-04-14 14:56:19

7.1k

Views

What's wrong with this picture? Impossible circles.

Published on 14 Apr 2026 - 14:56

score 174 · Answer 9 · 2026-04-13 16:24:20

174

Views

Show that, given four points, we can always draw two intersecting circles whose diameter endpoints are the four points.

Published on 13 Apr 2026 - 16:24

score 114 · Answer 10 · 2026-05-11 05:10:12

114

Views

Simple bisection geometry

Published on 11 May 2026 - 5:10

score 76 · Answer 11 · 2026-04-16 13:30:53

76

Views

Radius of circle given horizontal distances of two points and angle between them

Published on 16 Apr 2026 - 13:30

score 34 · Answer 12 · 2026-04-16 18:04:48

34

Views

Can We Prove These Removed Areas Are an Arc?

Published on 16 Apr 2026 - 18:04

score 107 · Answer 13 · 2026-04-13 12:53:01

107

Views

Surface area of sphere coming out as $\pi^2 r^2$

Published on 13 Apr 2026 - 12:53

score 220 · Answer 14 · 2026-04-09 18:50:05

220

Views

Geometry Challenge: Parallelogram in $\triangle$ $ABC$ with circumscribed Circle

Published on 09 Apr 2026 - 18:50

score 45 · Answer 15 · 2026-04-10 20:43:03

45

Views

Circles1 with maximum and minimum values

Published on 10 Apr 2026 - 20:43

List Question

What is the largest disk that will be completely covered by randomly placed disks of areas $1,\frac12,\frac13,\dots$ with probability $1$?

Conjecture: Given any $2n+1$ points, we can always draw $n$ non-intersecting circles whose diameter endpoints are $2n$ of those points.

Help understanding possibly incomplete proof in coordinate geometry of one-parameter family of circles

How to prove a circle in the complex plane tangent to the real axis at the origin is invariant by the function $\frac{\omega}{1-\omega}$?

Geometry: Show that 2 lines are perpendicular

Triangulating the surface of intersection of a sphere with edges of a cube

Proving that the cyclic quadrilateral $ABCD$ is a parallelogram, and thus it is a rectangle.

What's wrong with this picture? Impossible circles.

Show that, given four points, we can always draw two intersecting circles whose diameter endpoints are the four points.

Simple bisection geometry

Radius of circle given horizontal distances of two points and angle between them

Can We Prove These Removed Areas Are an Arc?

Surface area of sphere coming out as $\pi^2 r^2$

Geometry Challenge: Parallelogram in $\triangle$ $ABC$ with circumscribed Circle

Circles1 with maximum and minimum values

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