GEOMETRY IN ARCHITECTURE, ART AND NATURE

PHASE 2 - WORKSHEET

These directions may be different from those given by your teacher. If you are unsure about what to do, please check with your teacher.

Objective:

The objective of this phase is to answer questions from your worksheet. The answers to these questions will be shared with your class as a report and presentation.

Look at the list below. Select the appropriate worksheet for the area you are researching.

ARCHITECTURE:	Islamic	Greek	American
ART:	Paintings	Rugs/Carpets
NATURE:	Butterflies

Islamic Architecture Worksheet Questions

1. In site 1, when were these buildings built?

2. What similarities do you see between the buildings?

3. What symmetries (repeating shapes or patterns) are used? Why might these symmetries have been used?

4. Is there anywhere in the United States that you see an Islamic influence in architecture? Where?

5. What were/are these buildings used for? Did this influence its design in an obvious way? How?

Greek Architecture Worksheet Questions

1. What shapes are present in the buildings?

2. What advantages/disadvantages are there for using these shapes?

3. Why were such shapes chosen?

4. What do the structures tell us about the values of the Greeks?

5. Who used these buildings?

American Architecture Worksheet Questions

1. What century are you working in?

2. Which buildings are the most resources put into?

3. What does this tell us about the values of the time?

4. Why were such shapes chosen?

5. Who used these buildings?

6. What do you notice about the size of the buildings as you progress through the centuries?

7. Why do you think there was a change?

Art - Paintings Worksheet Questions

1.	Do the figures (Spear-bearer and Jesus) look normal?
2.	Do "proportionate" people actually exist?
	Measure yourselves. Are you proportionate?
3.	What could account for variation?
4.	Were these artworks done consciously or not?
5.	How is depth created in the drawing of Jesus?

Art - Rugs & Carpets Worksheet Questions

1.	Where were these rugs originally made?
2.	What symmetries (repeating shapes or patterns) do you see in them?
	Are there symmetries common to all the rugs?
3.	What are the four basic symmetry operations?
4.	What symmetry is there in the making of the rugs? (Hint: How is the pile made?)
5.	What do the rug patterns reflect?
	Is it religious? How?

Nature - Butterflies Worksheet Questions

1.	What is symmetry?
2.	What kind of symmetry does a butterfly have?
3.	What other kinds of symmetry can you imagine objects having?
	What things have these symmetries?
4.	How does the monarch use geometry to its advantage?
5.	Geometrically, in what ways do the larva and adult forms of the monarch remain the same?