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Math III Videos 103 videos
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Introduction to 3D Geometry 55503 Views
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Description:
It's one thing when all those shapes are sitting flat on the page. But when they start popping out and invading our personal space bubble, we get a little nervous. Back off, cylinder.
Transcript
- 00:00
3D Geometry, a la Shmoop. Take a seat. Revenge of the Triangles... in
- 00:09
3D... is about to begin.
- 00:11
Pending a few previews. You saw it in lame-o-vision last week...
- 00:15
...but now it's going to be in all three dimensions, comin' at ya.
- 00:19
Suddenly, there they are - those terrifying triangles.
Full Transcript
- 00:22
Only, they're not triangles anymore... They're prisms! Horrible, gory, flesh-eating
- 00:27
prisms. Ever seen light refracted through those glass
- 00:30
shapes to make a rainbow?
- 00:32
3D shapes have more than just length and width.
- 00:34
They have depth, too. Most 3D shapes you can make by gluing a bunch
- 00:39
of 2D shapes together. Be careful with the krazy-glue, though...
- 00:42
...you don't wanna walk around with a cylinder glued to your head.
- 00:45
A flat surface of a shape is called a face... ...the line that connects two faces is called
- 00:54
an edge... ...and a point on a 3D shape is called a vertex.
- 01:03
Prisms are two parallel polygons called bases with a bunch of lateral faces that connect
- 01:08
them. They're named after the shape of their bases,
- 01:11
so we could have... ...triangular prisms or...
- 01:15
...hexagonal prisms. Cylinders are like prisms, only the bases
- 01:19
are circles instead. Pyramids are like prisms, but with only one
- 01:26
base. And cones are pyramids with circular bases.
- 01:31
Spheres are like balls... but don't try playing basketball with one.
- 01:37
They're not regulation. Those are the basic three-dimensional shapes,
- 01:40
and the ones you'll probably see often. There are other ones like polyhedrons, but
- 01:45
we won't blow your mind any more for the time being.
- 01:48
Now that you've got a grip on basic 3D geometry... ...you can sit back, relax, and enjoy Revenge
- 01:54
of the Triangles... in 3D...
- 01:57
...or... try to.
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