Question

The solutions of the equation $z^4+4z^3i-6z^2-4zi-i=0$ are the vertices of a convex polygon in the complex plane. What is the area of the polygon?

score 1.1k · Answer 1 · 2022-03-16 09:38:35

The solutions of the equation $z^4+4z^3i-6z^2-4zi-i=0$ are the vertices of a convex polygon in the complex plane. What is the area of the polygon?

score 165 · Answer 2 · 2022-03-16 18:09:57

165

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Ratio between circumference and "radius" of a polygon

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score 75 · Answer 3 · 2022-03-18 14:17:08

75

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Name for a closed shape that has an interior point such that every line through the point meets the shape's boundary at exactly $k$ distinct points?

Published on 18 Mar 2022 - 14:17

score 187 · Answer 4 · 2022-03-23 20:07:39

187

Views

Efficient algorithms for testing simplicity of a 2D polygon given its vertices?

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score 41 · Answer 5 · 2022-03-25 08:16:21

41

Views

Segmenting a polygon of non-uniform density into parts with equal number of points.

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score 370 · Answer 6 · 2022-03-28 13:06:33

370

Views

A polygon has 60 diagonals. How many sides does it have?

Published on 28 Mar 2022 - 13:06

score 151 · Answer 7 · 2026-02-23 04:56:26

151

Views

How to find the $2d$ cross-sections of the $n$-hypercube that are regular $2n$-gons?

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score 394 · Answer 8 · 2026-02-23 19:15:17

394

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Proving the Weierstrass Approximation Theorem using Polygonal functions

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score 79 · Answer 9 · 2022-04-13 23:53:02

79

Views

Why is the term determinant used in the Shoelace formula for polygons when it isn't a square matrix?

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score 38 · Answer 10 · 2022-04-25 11:27:08

38

Views

How to compute inner angles of polygons

Published on 25 Apr 2022 - 11:27

score 83 · Answer 11 · 2022-05-04 06:45:49

83

Views

For which natural numbers ≥ 3 is it possible to cut a regular -gon into smaller pieces with regular polygonal shape?

Published on 04 May 2022 - 6:45

score 144 · Answer 12 · 2022-05-04 19:35:32

144

Views

Which objects can be Minkowski halved?

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score 99 · Answer 13 · 2022-05-05 18:06:21

99

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Published on 05 May 2022 - 18:06

score 66 · Answer 14 · 2022-05-14 03:03:11

66

Views

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Published on 14 May 2022 - 3:03

score 119 · Answer 15 · 2022-05-18 13:26:01

119

Views

Conjecture about areas of circular segment and polygon with equal perimeter sharing a side

Published on 18 May 2022 - 13:26

List Question

The solutions of the equation $z^4+4z^3i-6z^2-4zi-i=0$ are the vertices of a convex polygon in the complex plane. What is the area of the polygon?

Ratio between circumference and "radius" of a polygon

Name for a closed shape that has an interior point such that every line through the point meets the shape's boundary at exactly $k$ distinct points?

Efficient algorithms for testing simplicity of a 2D polygon given its vertices?

Segmenting a polygon of non-uniform density into parts with equal number of points.

A polygon has 60 diagonals. How many sides does it have?

How to find the $2d$ cross-sections of the $n$-hypercube that are regular $2n$-gons?

Proving the Weierstrass Approximation Theorem using Polygonal functions

Why is the term determinant used in the Shoelace formula for polygons when it isn't a square matrix?

How to compute inner angles of polygons

For which natural numbers ≥ 3 is it possible to cut a regular -gon into smaller pieces with regular polygonal shape?

Which objects can be Minkowski halved?

Can a non-degenerate polygon with all sides equal have unequal angles?

Given side lengths a,b,a,b,a,b, what is the largest equiangular hexagon that can fit in a unit square?

Conjecture about areas of circular segment and polygon with equal perimeter sharing a side

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