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44
votes
3answers
3k views

Mollweide maps in Mathematica

Context In my field of research, many people use the following package: healpix (for Hierarchical Equal Area isoLatitude Pixelization) which has been ported to a few different languages (F90, C,C++, ...
23
votes
2answers
1k views

Peirce's quincuncial projection

The Peirce quincuncial projection is the cartographic projection of a sphere onto a square. In short, I would like to see it implemented in Mathematica. Here is my code: ...
16
votes
1answer
370 views

GeoGraphics: problem with GeoPosition in shifted projections

Bug introduced in 10.0.0 and persisting through 10.4.1 A remark about the answer: My work around is only nice for simple cases with points. More general should include proper polygons splitting on ...
14
votes
2answers
134 views

Why does the GeoGraphics Frame show different Latitude than GeoPosition?

The map looks right, but the Latitude in the Frame looks wrong. Am I making a mistake or is this a bug?
13
votes
1answer
2k views

How to map an image to get an illusion of 3D

I would like to distort or map a given jpg so it looks 3D when viewed from certain angle, as in the following youtube video: http://www.youtube.com/watch?v=IfCCUd8mFtg. The most interesting part of ...
10
votes
1answer
311 views

GeoProjection for astronomical data - wrong ticks

Here is an excellent answer to what I wanted to do, and it works like a charm. Unfortunately, when I want to change it a bit, it fails. For setting the stage, here is the datafile, and this is my ...
9
votes
3answers
2k views

How to create an inverse pole figure color map

To interpret electron backscatter diffraction (EBSD) results, inverse pole figures are used. A three dimensional space of directions ([100], [110] and [111] for those who know about crystallography) ...
9
votes
2answers
1k views

Pixel perfect world map with no border lines

I'm trying to build a real world map in Minecraft and want a pixel-perfect raster image I can copy pixel for block. How can I modify ...
9
votes
1answer
156 views

Petrie polygon projection of a hypercube graph

I am trying to generate the Petrie polygon projection of the 8-cube in Mathematica, like this one: I tried using, for example, the HypercubeGraph function: ...
9
votes
1answer
421 views

Isometric perspective for Graphics3D

Is it possible to render Graphics3D in an isometric projection? I know that the ViewPoint option can be used for orthogonal ...
8
votes
2answers
532 views

Mapping StreamPlot onto spherical surfaces

Suppose I have some vector field equations $(f(\theta,\phi), g(\theta,\phi))$. The StreamPlot can be created easily in 2D, but I would like to visualize the stream ...
8
votes
1answer
169 views

Creating a certain image (3D shadows, highlighted intersections)

I would like to learn how to code within Mathematica the following picture: I tried using ...
7
votes
3answers
344 views
5
votes
1answer
304 views

GeoGraphics - mapping the Moon

The link here shows a nice way to depict the map of the Moon in Mathematica. But is there a way, to center the Mollweide projection onto the far side of the Moon?
3
votes
2answers
435 views

Projection of triangles onto a sphere

I am trying to find the solid angle taken up by a large set of triangles around a central point. I have normalized the vertices of the triangles to a unit sphere around the central point, But the ...
3
votes
1answer
103 views

Projection of a 3d curve to 2d

This question is related to: How to obtain the coordinates of the intersection line of two surfaces? Read the link first. First, I have tried ...
3
votes
1answer
192 views

project from a n-dimensional space to 2-dim

let's say that I have a sphere in $N$-dimensions $$x_1^2+x_2^2+...+x_N^2=R$$ If I want to know the projection on the $x_1-x_2$ plane in this case I can figure out myself that is a circle, but how ...
2
votes
1answer
263 views

Winkel Tripel and Robinson Projections?

How can I do WorldPlot with the WorldProjection -> Winkel Tripel or Robinson projections. Mathematica has Mollweide and several others defined, but not these popular projections adapted by National ...
2
votes
2answers
225 views

Projection of ListPointPlot3D on 2 axes

I am just starting to learn Mathematica and I was trying to get projection of the list of points in ListPointPlot3D. I read about ViewPoint option. It shows the axes I need but doesn't show the points ...
2
votes
0answers
89 views

Fan beam tomographic projections in Mathematica

I am embarking on a little project to redo some of my old MATLAB image processing code in Mathematica. I am particularly interested in tomography, and I know of the ...
1
vote
1answer
320 views

Plot a graph in a plane

I have a 3D graphics and i must plot a trajectory on a costant plane but i don't understand how to do this. With a simple Show[] command i can't do this. This is the code to plot the graphics: ...
1
vote
0answers
330 views

Automatic inverse for Lambert’s Azimuthal Equal-Area Projection

I’m interested in finding closed-form inverses for map projection equations in general (of course, this is not always possible). I’m hoping Mathematica can help me with some of the trickier ones. As ...
0
votes
2answers
534 views

Projectile motion in Mathematica using Euler's method [duplicate]

I need to write the equations of a ball in projectile motion (ignoring air friction) with an initial velocity of 40 m/s at an angle of 40° with respect to the horizontal. Specifically, I need to write:...
0
votes
1answer
608 views

Projecting on an arbitrary plane

I have the following code, giving me a representation of a photon hitting a cylinder: ...
0
votes
1answer
92 views

Is it possible to project a 3D contour plot onto two dimensional space? [duplicate]

I like to draw project of ContourPlot3D into "p-q" plane, but is it possible to do it with Mathematica? Here is my ContourPlot3D: ...
0
votes
1answer
150 views

4D rotations of 600-cell to make cell centered stereographic projection

I have made a 600-cell wireframe model from Eric Weinsteins' 2/13/14 600-cell notebook (600-cell: a regular polytope, 4D, analogous to the icosahedron, with 600 tetrahedral cells, 120 vertices, 720 ...
-1
votes
2answers
154 views

Projectile motion with air friction

I need to find the x and y components of a projectile's position, its velocity at any evaluation point, time of flight, range, and maximum height. I have already made the code for a projectile ...
-1
votes
1answer
53 views

Orthonormalization of a set of vectors

I know of the commands Orthogonalize[] and Normalize, but how can I combine them into one command that its output will be an orthonormalized list of the input vecotrs? Thanks in advance. P.S How to ...