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0 answers
561 views

Conversion of clockwise angle rotation to anticlockwise and vice versa

I have some data sets and using that data sets I'm trying to calculate the rotation numbers. Calculating rotation numbers I have to take some particular direction of vectors, i.e., either clockwise or ...
MMS's user avatar
  • 11
4 votes
0 answers
184 views

How Can I Visualize a PDE Boundary Condition?

In this question, the comment suggests that the integration bounds in the Fourier Series should be chosen to avoid discontinuities in the boundary conditions. I am trying to produce a nice visual to ...
user10478's user avatar
  • 1,922
7 votes
0 answers
424 views

A generalization of Elon Musk's favorite interview question (Going 1km South, 1km West, then 1km North returns to the starting position).

This question concerns a generalization of the following problem (allegedly, in the early days of Tesla and SpaceX, Elon Musk would ask the following question to possible future employees): Assume ...
projectilemotion's user avatar
0 votes
1 answer
48 views

Trianlge area and minimum value using Mathematica.

A triangle has two of its corners in (3.052 , 0 , 1.456), (0 , 3.052, 1.456), and the third of the curve in the room consisting of all points (3.052 , 3.052, a ^ 2 + 1.456), where a is a real number. ...
user avatar
0 votes
1 answer
312 views

Constructing bisectors for a triangle in Poincare Disk (wolfram mathematica)

I'm having difficulties constructing angle bisector in Poincare Disc(Hyperbolic geometry), specifically with writing code in Wolfram Mathematica. I've managed to create a triangle, but now have no ...
whatanhonor's user avatar
1 vote
1 answer
48 views

Largest Orthogonal circle for a given circle

What is the radius of the largest orthogonal circle (as a function of R)that can be constructed for a given circle of radius R? Definition of Largest circle-the circle that spans the longest section ...
user472374's user avatar
0 votes
1 answer
62 views

how to project and then plot the product of two 3 spheres or two 4 spheres in mathematica?

I admit up front i'm a complete newbie not even close to being a geometer/topologist, but i need some advice about what the product of spheres would look like. A 1 sphere times a 1 sphere is a two ...
wojo's user avatar
  • 1
1 vote
1 answer
2k views

Focal distance on a parabola

If focal distance of a point on the parabola $y = x^2 - 4$ is $25/4$ . And the points are of form $(\pm \sqrt{a}, b$ then how can we find $a , b$ or sum of these . I think the focus of parabola would ...
user101522's user avatar
4 votes
0 answers
495 views

The mathematics of anaglyph images

Note: I'm not quite sure whether this question properly belongs to the Mathematica or to the mathematics Stack Exchange. But because my question mainly concerns general mathematical principles rather ...
Kim Fierens's user avatar
  • 1,012
5 votes
2 answers
857 views

Finding the largest circle that contains a single point in a set (and no other point)

Given a bounded $A \times B$ rectangle with a set of chosen coordinates, generated for example with the command: ...
SeptemberGrass's user avatar
3 votes
3 answers
2k views

What is the area of the shaded region of the square?

To find area of shaded portion in the below figure, the picture generate by following mathematica code. ...
matrix42's user avatar
  • 257
0 votes
1 answer
114 views

Is there a closed-form expression that allows me to triangulate a point in 2D?

Please consider the case where I have three points on a 2D plane - $(p_1, p_2, p_3)$ - and a third point, $p_0$, at some unknown position $(x_0,y_0)$. However, I know that $p_0$ is a distance $d_1$ ...
C.T.'s user avatar
  • 3
2 votes
2 answers
4k views

How to draw a family of curves and its envelope?

Given a family of curves $$F=(x-t)^2+y^2-\frac{1}{2}t^2,$$ I am trying to compute the envelope of this family. The envelope is described by the equations $$F=0, \\ \dfrac{\partial F}{\partial t} = -2(...
Vladimir's user avatar
  • 2,879
15 votes
2 answers
81k views

How can I calculate the centroid of polygon?

What is the way to calculate the centroid of polygon? I have a concave polygon of 16 points, and I want know the centroid of that. thanks
Csabi's user avatar
  • 285
7 votes
4 answers
3k views

Drawing a thickened Möbius strip in Mathematica

I would like to have Mathematica plot a "thickened Möbius strip", i.e. a torus with square cross section that is given a one-half twist. Ideally, I would like this thickened Möbius strip to be ...
Zev Chonoles's user avatar

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