UNIT 3: REPRESENTATION SYSTEMS

SYSTEMS OF REPRESENTATION

We will touch this term the different ways to represent an object in technical drawing.One of them is the DIHEDRAL SYSTEM. Lets get started with something easy, summarizing your knowledge from 1st ESO.Then we will practice with a few worksheets.

DIHEDRAL, AXONOMETRIC, CAVALIER, CONICAL

DIHEDRAL 

CAVALIER 

CONICAL PERSPECTIVE DRAWING

ONE POINT LINEAR PERSPECTIVE

TWO POINTS LINEAR PERSPECTIVE

THREE POINTS LINEAR PERSPECTIVE

MORE ABOUT THE DIFFERENT SYSTEMS OF REPRESENTATION

DIHEDRAL SYSTEM

KINDS OF PROJECTIONS: 

LINEAR, ORTHOGONAL AND OBLIQUE

LINEAR PERSPECTIVE

UNIT 3: ENGINEERING CURVES: OVALS, OVOIDS AND SPIRALS

 ENGINEERING CURVES:

 OVALS, OVOIDS AND SPIRALS

The links between circumferences have a direct application in the construction of technical curves such as the oval, the ovoid or the spiral.

The oval is a flat and closed curve, symmetrical with respect to its two perpendicular axes and formed by four equal circumference arcs two by two.

The ovoid is a flat and closed curve, symmetrical only with respect to its major axis, and formed by four arcs of circumference, of which two are equal and the other two are unequal.

The spiral is a flat, open and continuous curve that is configured by a point that moves uniformly along a straight line, this being fixed at a point through which it rotates with a constant angular value. 

If the spiral is generated by regular polygons, it is called a volute.

Now you will learn how to draw Ovals, Ovoids and Spirals. 

In spanish we call them "curvas técnicas". You will find that in english it is translated as either engineering or technical curves. 

Here are some video tutorials for you to practice at home: 

1- Draw an oval given the short axis CD.

2- Draw an oval given the long axis AB.

3- Draw an ovoid given the short axis AB.

4- Draw an involute of an equilateral triangle.

ACTIVITY EXTRA: THE FIBONACCI OR GOLDEN SPIRAL

LET´S GET ARTISTIC NOW...

TRIBAL AND SIMBOLIC SPIRAL PAINTINGS BY SAM BROWN

HERE ARE SOME OTHER ARTISTIC IDEAS BASED ON THE SPIRAL:

      

UNIT 4: TESSELLATIONS

TESSELLATIONS

A tessellation, is  a repeating pattern of polygons that covers a plane with no gaps or overlaps. 

What kind of tessellations can you make out of regular polygons? 

TRY Tessellation Creator.   

This is the video we saw in class:

WHAT IS TESSELLATION? 

If we look around us we can see that the shapes, triangles, squares, hexagons, are related to each other to occupy a large space; that is to say, they have interior lines that distribute and order the shapes. These are their structures that provide order and proportion. These structures are called tessellations. 

A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries.

Structures can be:

• Regular: the elements that compose it are regular and follow a regular order. Symmetrical or radial organisations tend to predominate.

  Irregular: they do not have a regular order and their elements are irregular. They are complex structures.

  
            

The shapes are related in space by structures that we call Tesselations. Thanks to this organisation, we can create modules that repeat until we fill the whole area.

The movements we can make in space are:

And these are some other ideas for your project: 

Slideshare from Ksumatarted

Slideshare from Bevster01 Slideshare from reederj

How can we create a tessellation using Photoshop?

Slideshare from reederj

HERE ARE SOME EXAMPLES FROM STUDENTS

    

  

UNIT 2: TANGENTS

TANGENCY

WHAT IS A TANGENT? 

A tangent to a circle is a straight line that touches the circle at one point.

 

EXAMPLES OF TANGENCY IN ARTWORKS

                    

A COUPLE OF EXAMPLES OF TANGENCY IN THE REAL WORLD

EXAMPLES of drawings using TANGENTS   from www.plasticaiescampinaalta.blogspot.com