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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: ...
3
votes
1answer
88 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 ...
16
votes
1answer
363 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 ...
5
votes
1answer
290 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?
1
vote
1answer
244 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 ...
1
vote
0answers
321 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 ...
8
votes
1answer
144 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: ...
0
votes
1answer
85 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: ...
8
votes
1answer
160 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 ...
0
votes
1answer
141 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 ...
9
votes
1answer
212 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
1answer
374 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 ...
0
votes
2answers
373 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 ...
-1
votes
2answers
149 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 ...
0
votes
2answers
503 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 ...
43
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++, ...
13
votes
1answer
1k 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 ...
2
votes
2answers
215 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 ...
5
votes
2answers
470 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
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) ...
3
votes
1answer
190 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 ...
0
votes
2answers
604 views

Projecting curves of intersection onto a plane

Referring to this page, Plotting implicitly-defined space curves How can I project the curves of intersection onto the x-y plane?
0
votes
1answer
581 views

Projecting on an arbitrary plane

I have the following code, giving me a representation of a photon hitting a cylinder: ...
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: ...