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| It would be useful for classrooms to incorporate dynamic 3d display technology. Many kids have trouble visualizing a 3d plot on a 2d whiteboard. The teacher and kids could sweep different parameters and watch graphs update in real time. |
| Transportation revolution, i.e. modification of the local gravitational field. Aka mass repulsion, gravitational shielding, antigravity, whatever we want to call it. One of the biggest blind-spots in science is that this is "impossible", or too far... |
| Yes, I left out some code for the sake of brevity. Try this: ParametricPlot[Sum[{1/(Sqrt[2])^k Sin[(Sqrt[2])^k t], 1/(Sqrt[2])^k Cos[(Sqrt[2])^k t]}, {k, 0, 15}], {t, 0, 100 Pi}, MaxRecursion -> 10] Reduced values of t and k, and... |
| It can sometimes be cumbersome to decipher code that appears differently than it does in a Mathematica notebook. For example, (-1)^k/Sqrt[1.5^k] Sin[(-1)^k Sqrt[1.5^k] t] as compared to ![enter image description here][1] Any chance... |
| It is actually not a perfect workaround... I just realized it is square at each end, but more rectangular in the middle. I will post a fix if I find something. Still a cool method though. Here's what it looks like taking t to only 0.7 Pi : ... |
| I would like to begin experimenting with parametrically defined 4D objects: { w(*r*,*s*,*t*) , x(*r*,*s*,*t*) , y(*r*,*s*,*t*) , z(*r*,*s*,*t*) } What's the most straightforward way in Mathematica to visualize a projection of 4+ dimensional... |
| Thank you Vitaliy. Unfortunately I'm using Mathematica 9 and it doesn't have this feature. I will do some more digging around and post here if I find it. |
| I see. Any ideas why it might be quitting? |
| BooleanRegion seems to only deal with certain types of 3D regions. The following example works: DiscretizeRegion[BooleanRegion[And, {Ball[{0, 0, 0}, 2], Ball[{3, 0, 0}, 2]}]] ![enter image description here][1] This next example doesn't work:... |
| Okay, here's a great solution: If you are exporting regions generated in mathematica as .stl files for puposes of 3d printing, you can join/add/subtract those regions in a 3d printing software such as MeshLab or Netfabb. see... |