if a dodecahedron is cut by a plane, what figures will I get?

shahar

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Jul 19, 2018
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If I cut a cone by plane, it will get: ellipse, parabola, hyperbola and circle
If I cut a sphere I will get: circle.
If I cut a cylinder I will get ellipse and circle.

If I cut a dodecahedron by plane. What figures i'll get?

I guess: hexagon, triangle

and what more?
 
If I cut a cone by plane, it will get: ellipse, parabola, hyperbola and circle
If I cut a sphere I will get: circle.
If I cut a cylinder I will get ellipse and circle.

If I cut a dodecahedron by plane. What figures i'll get?

I guess: hexagon, triangle

and what more?

It would take some work to be sure you have a complete list, but I see a regular decagon, triangles, irregular hexagons, squares, rectangles and other quadrilaterals. I imagine you can get just about any number of sides up to 10, by tilting the plane and passing through various numbers of vertices. Try it and see.
 
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