Plane And Solid Mensuration By Richard Earnhartzip 🚀
Plane And Solid Mensuration By Richard Earnhartzip
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If you were to fill a hole like that with the 3D modeling programs you can actually learn how to create these very intricate, real world curves. The hole is actually a sphere, or a “hemispherical cavity in a plane”, as described on Wikipedia. The most popular small shapes for these models (apart from the circle) are probably the cube, the cylinder and the torus. Personally, I find the torus to be the most interesting one, though it requires a lot of fiddling around in the modeling program, trying to create the desired shape.
In particular, you can make the torus by cutting one half out of a cylinder. You can get some inspiration by looking at some of the shapes I’ve made with curves in this image:
If you need help with creating more complex curves, you can also try the Forge of Empires app!
For those who have been wondering what the heck a “Plane Solid Mensuration By Richard Earnhartzip.zip” is, it is an example of what a simple regular concave polyhedron can be. More info:
The best model of a torus I’ve found so far is the ideal model the video game Heroes of Newerth uses:
What is a plane?
Maybe an idea will occur to you. A rectangle with a circle drawn on it and a curve drawn on it to make a torus.
But wait, we’ve also got a square and a cube, which are both volumes. Volume is a concept in dimensional analysis. One thing that makes these shapes different is that when we cut one half out of a cylinder we remove two dimensions, not one.
Take a look at this video I found online, it’s an interesting idea for showing different shapes:
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