Question

I have no vertices. I have no flat faces. Who am I?

Answer 1

Hint: In this question, we are given a riddle and we need to find the required shape. Since we are talking about faces, we will look at their dimensional objects and try to solve this riddle.

Complete step-by-step solution:
Here we are given a riddle as: I have no vertices, I have no flat faces, who am I?
Thus we have to find a shape, which has no vertices or no flat faces.
As we can see, we are talking about faces here, so the shape should be in three dimensions. The most common example which comes to our mind when we think of shapes with no vertices is sphere and cylinder. But we know that the cylinder has two circular bases which are called flat faces, so the cylinder cannot be answered. Hence we are left with a sphere only. Let us analyze the sphere properly.

As we can see from the diagram, there exists no vertices (corners) or no flat surfaces.
Hence, the sphere is the required answer to our riddle. The sphere is considered as perfectly symmetrical, without edges or vertices, and has one surface which is not a flat face. A sphere is the shape of a ball.

Note: Students often think that answer to this riddle is a circle but they should note that the circle is itself a flat surface and whenever we are talking about faces, we are talking about three-dimensional objects only. Ellipsoid (three-dimensional ellipse) is also considered as an answer to this question, as it also has no vertices or flat faces.