Whether you are interested in graphics design, or you are a student working on your math problem, vertices are one of the important topics you need to know. Vertices refer to a different number of vertex, which can be basically defined as the corner of two lines in different directions. Vertices are one of the most important concepts in programming image editing software. Popular software such as Illustrator and Photoshop make these calculations for the users and thus, they can work on vector art. In this guide, we are going to discuss this important concept. So what are vertices?
What Are Vertices of Shapes?
If we are going to talk about the vertices of shapes, then we can define them as angular corners. They refer to lines, where two or more surfaces meet on a shape. Depending on the shape, the number of vertices may vary. For example, the cube is one of the first examples given in this category and it has eight vertices.
Vertices are important and have been the topic of many academic fields. Some of these include mathematics, geometry, architecture, engineering, and graphics design. We believe that you fully understand the concept of vertices or vertex for now. Now, let’s check for additional information that you may wonder about.
Do Circles Have Vertices?
One of the common mistakes that most students or learners make is they believe all shapes have vertices. However, the circle is also a shape, and it does not have any vertices. As you can remember, vertices occur when at least two faces meet.
Considering the shape of circles, they have just one surface. Thus, no vertex occurs on these shapes. In short, circles do not have any vertices at all.
Do All 3D Shapes Have Vertices?
Another common mistake is people believe all 3D shapes have vertices. In fact, the vast majority of 3D shapes have vertices. After all, a 3D shape must have a few sides to have a three-dimensional volume. However, there are two exceptions among 3D shapes. One of these is spheres and the other one is the cylinder.
We have already discussed that circles do not have any vertices. Basically, the sphere is a 3D circle. So, it only has one surface and thus, it does not have any vertices at all. In addition to this, the cylinder does not have any vertices either. Although this 3D shape has two surfaces, they do not touch each other. These two surfaces are separated with a single surface and prevent two surfaces from meeting.
What Are the Vertices of 3D Shapes?
As we noted before, the number of vertices in a shape may vary depending on how many surfaces it has and how they meet with each other. In this section, we are going to provide some of the popular 3D shapes and their vertices.
We have already noted that the cube has 8 vertices. Besides the cube, the triangular prism, which is one of the most used 3D shapes has 6 vertices. Additionally, the tetrahedron has 4 vertices and the cone has one vertex, which is also known as the apex.
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