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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...
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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