hello and welcome to my basic mesh tutorial series.

well, this is mostly a tutorial for Blender 2.62

and i will use this program throughout the course

of this tutorial. However, i believe that a lot of what

i cover here is not limitted to Blender, but is valid

for other 3D content creation tools as well.

So, lets begin with the most basic part of 3D modelling, the vertex.

A vertex simply describes a point in a 3 dimensional space,

and it has 3 coordinates for the 3 orientation axes: x,y, and z.

Vertices are best described as the atoms of modelling.

Here is another vertex. It has a different location and thus it

has different coordinates. Both vertices can be connected.

The connection is named: edge.

so, we can say, an edge is a straight connection between two vertices.

And there is no exception from this rule. And this is a definition.

Edges always are made out of 2 vertices and a straight connection.

This is a third vertex with yet another location.

We can connect this new vertex with either of the

other existing vertices, or even to both of them.

Now we have 3 edges.

Each edge consists of 2 vertices and one straight connection.

And because it has 3 corners and 3 angles, this surface is also named triangle.

By a matter of fact 3 vertices, hence one triangle, also define

a plane in 3D space.

And the part of the plane that is located inside the triangle

defines a triangular surface, and is also named Triangle in our context.

This is yet another vertex.

Let me connect it to the already existing triangle with 2 additional edges.

Now we have 2 adjacent triangles,

which share one edge.

When we remove the shared edge,

we end up with a Quadruple,

or better known as: Quad.

Triangles and Quads are often called: faces, or mathematically correct: polygons.

By now, we have all necessary ingredients for making 3D models,

the vertex as the basic atom, the edge,

as a connection between 2 vertices,

the triangle as the most basic surface element,

and finally the Quad,

which can always be constructed from 2 triangles.

And remember, Quads and triangles are also named: faces, or polygons.

Of course there are polygons with more than 4 angles, but

we will not cover them in this tutorial.

So, let us take another look at the triangle.

I already mentioned that the triangle defines a surface.

But in contradiction to the expectations this surface

has only one single side. This is very important to know,

because you always must be aware

that surfaces become transparent on the backside.

And so this triangle simply disappears when you look at its back.

And finally let us take a closer look at the Quad.

As i mentioned before,

Quads have some interesting properties,

which make them by far more complicated as you might expect.

first and most important,

a quad does not define a plane surface.

All 4 corners can be located at arbitrary locations,

and thus the surface is in general not planar.

But Quads can always be decomposed into 2 Triangles.

And if we break up a Quad into its 2 triangles,

we instantly see, how it is actually constructed.

But unfortunately this construction is not unique,

and we end up with 2 very different surfaces

depending on how the de-composition was done.

This may result in different behaviour

regarding lighting, and your surface might

sometimes look incorrect because the

quad was decomposed in the wrong direction.

By now i have introduced all basic ingredients

for the creation of mesh based three dee content.

All your models will be made out of vertices, edges

and faces, and all you need to learn is how to

build your artwork with these basic elements.

Of course there is a lot to be learned about

efficient modelling and designing,

and during the course of this tutorial

we will introduce some concepts in more detail.

So please move on to the next part of this series,

and proceed by creating a simple coffeecup.