Quick Start Expectations 1.Fill in planner and HW record sheet Polyptych Project –2 more squares (by ??) Packet #3 – due ?? 3.Get signature on HWRS 4.Work on Packet #3

What is a Polyptych? In this case, we will do a study of 4 types of symmetry found in both art and math. Often you will find these types of symmetry reflected in nature as well. In art, we often refer to the symmetry as balance. What is meant by this is how the piece is visually balanced. Art work that doesn’t apply a type of balance is often very unsettling to the eye. A polyptych is a piece of art in four or more parts.

Can you find the angle of rotation?

 This type of symmetry is based on a central point.  The center line can be drawn from many different lines that cross through this center point and the symmetry remains intact.  While some examples that are found in nature will have subtle inaccuracies, there are still plenty to look for.  Natural examples are flowers such as daisies or sunflowers, sand dollars and cross sections of citrus fruit.  Kaleidoscopes are also classic examples of radial symmetry. Square THREE: Rotational Symmetry

To create rotational symmetry: Fold the paper in half. Turn 90 degrees and fold again. This creates your center point. Draw light guidelines from one side of the paper to the other through the center point to give a structure that is similar to that of a spider’s web. I recommend only 3-4 lines to keeping the sections large enough to add design. When a shape is added to one section, it must then be added to all the sections and should be the same size, shape and placement. If color is desired, then the rules of exact symmetry (like in square ONE) come back into play. The color is the same in each shape, in each section.

Can you see the direction and distance of translation?

Square FOUR: Translation Symmetry Translating an object means moving it without rotating or reflecting it. You can describe a translation by stating how far it moves an object, and in what direction. We see examples in nature when observing honey bee combs or scales on a fish.

To create translation symmetry: 1.On your white piece of paper, draw a shape in the upper left- hand corner. The object can be symmetrical (like the honey comb hexagon) or asymmetrical (like the examples on page 19 of you textbook). 2.Decide on a direction and distance for your translation (for example, 2.5 cm to the right). 3.Translate your object your decided distance to the right, and then translate that new object to the right again. Continue until you come to the end of the page. 4.Next, decide the angle in which your translation will slide to the next line. Measure and draw your object in its new position. 5.Translate your object the decided distance to the right, and then translate that new object to the right again. 6.Continue this process until the entire page is covered in your design.