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Is there a 3-D object with 3 faces? What is it called?
Gib Z said:There is an infinite number of 3 dimensional objects with 3 faces, just as there are an infinite number 2 dimensional objects with 2 sides.
Good answer; but I was asking about flat surfaces. I understand that no such object exists. Is there a theorem about the min. number of flat surfaces that a 3-D object must have?Jarle said:A cylinder? Or must the faces be flat..?
EnumaElish said:Is there a 3-D object with 3 faces? What is it called?
uman said:A tetrahedron with its base removed?
EnumaElish said:Good answer; but I was asking about flat surfaces. I understand that no such object exists. Is there a theorem about the min. number of flat surfaces that a 3-D object must have?
masnevets said:Hello,
What you are thinking of is a 3 dimensional (convex) polytope. I assume you mean codimension 1 faces (i.e. 2 dimensional faces). Technically, edges and vertices are also called faces. In this case, the minimum number of faces is 4 (a tetrahedron). In general, an n dimensional polytope needs to have at least n+1 facets.
mgb_phys said:Wouldn't a Mobius strip have 3 faces? ie. 1 'face' and 2 edges.
mgb_phys said:Wouldn't a Mobius strip have 3 faces? ie. 1 'face' and 2 edges.
A cylinder has 3 sides if you include it's curved surface. Both 'sides' of a mobius strip are curved into each other so you only have 2 sides. With only flat surfaces I think n+1 is the minimum number.mgb_phys said:Of course - the edges are connected - dumb of me.
So it's possible to have a 2 sided 3D object but not a 3 sided one ?
A 3-faced 3-D object is a three-dimensional object that has three flat surfaces, also known as faces. These faces are typically in the shape of polygons, such as triangles, squares, or rectangles.
The main difference between a 3-faced 3-D object and a regular 3-D object is the number of faces. Regular 3-D objects typically have more than three faces, while 3-faced 3-D objects only have three.
Yes, a 3-faced 3-D object can exist in the real world. Some examples of 3-faced 3-D objects include pyramids, triangular prisms, and triangular pyramids.
The shape of a 3-faced 3-D object is typically referred to as a triangular-based pyramid or a triangular prism. This is because the three faces are typically in the shape of triangles.
The volume of a 3-faced 3-D object can be determined by using the formula V = (1/3) * b * h, where b is the area of the base and h is the height of the object. The volume of a triangular-based pyramid can be calculated using the formula V = (1/3) * b * h, while the volume of a triangular prism can be calculated using the formula V = b * h, where b is the area of the base and h is the height of the object.