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Name: Work through this activity in Normal View mode. This appears in the bottom left-hand corner.

Federation Square. Name: Work through this activity in Normal View mode. This appears in the bottom left-hand corner. Click on the double down arrows on the scroll bar to move from slide to slide. Federation Square is a fabulous public building in the city of Melbourne, Australia.

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Name: Work through this activity in Normal View mode. This appears in the bottom left-hand corner.

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  1. Federation Square Name: • Work through this activity in Normal View mode. This appears in the bottom left-hand corner. • Click on the double down arrows on the scroll bar to move from slide to slide.

  2. Federation Squareis a fabulous public building in the city of Melbourne, Australia. Its façade is covered with one shape, repeated many times in a tessellating pattern. This shape is a right-angled triangle. Each right-angled triangle is made of different materials: sandstone, zinc and glass, all cut to an identical size. It is often referred to as an example of the fusion between mathematics, art and architecture.

  3. Snap to Grid Before you start this activity, it is important that you disable the snap to grid function. Drawmenu >Grid and Guides, then remove the tick onSnap objects to grid. If you don’t, you will become frustrated with shapes not tessellating. They will either leave large gaps or overlap. Make sure you remove the tick. / Grid

  4. At Federation Square each façade panel is made up of five right-angled triangles. façade panels Use the Rotate or Fliptools in Draw (NOT Free Rotate) to organise and place each right-angled triangle on the left in a tessellating pattern that resembles a façade panel. Once you have created the perfectly arranged design, select all five pieces and group them to make the five elements one.

  5. At Federation Square, five façade panels make up what is called a mega panel. Q. How many small right-angled triangles are there in a mega panel? A. Q. How many small right-angled triangles are there in a façade panel? A.

  6. Copy your façade panel from slide 4 and paste it onto this slide. Duplicate it four times, then use the Rotate or Flip tools in Draw (NOT Free Rotate) to create your mega panel.

  7. Study this photograph. Try to identify the façade panels and mega panels. Do you know which tiles are made of glass, zinc or sandstone?

  8. Work with this single right-angled triangle to create your own façade design of Federation Square. Start with a series of façade panels, then mega panels, grouping them as you progress. Try to arrange sandstone, zinc and glass in a similar way to those you see in clusters on the previous slide. TIP: There is no need to use Free Rotate. Create three colour variants to represent sandstone, zinc and glass colours. Drag a text box over the completed tessellation, type in your name and class, and then print in colour. Once you have read these instructions, click on this text box and press delete to make more space for your tessellation.

  9. Duplicate the right-angled triangleson the page to create a design similar to the one you see in the top right-hand corner of the screen. You may use the Rotate or Flip tools (but not Free Rotate) to create a similar tessellation. Keyboard shortcuts: Ctrl + D for PC,  + D for Mac.

  10. Federation Square Number Problems • Right-angle triangles on the façades of Federation Square: • 7,865 are made of sandstone • 12,325 are made of zinc • 1,883 are made of glass. • Q. How many right-angled triangles make up all the façades of Federation Square? • A. • Q. A total of625single right-angled triangles cover a large section of the Alfred Deakin Building at Federation Square. How many façade panelswould make up this large section? • A. • Q. How did you work this out? • A. • Q. How manymega panelswould make up this large section? • A. • Q. How did you work this out? • A.

  11. Print this activity as a handout.Rather than print individual pages and waste paper, print this activity as a handout with six slides on each page. That means the whole task will fit onto a few pages instead of many. INSTRUCTIONS • Select Print from the File menu. • (Mac: Pull down on the Copies & Pages menu and select Microsoft PowerPoint.) • Within the Print Dialogue Box, click on the Print what pull down menu and select Handouts (6 slides per page). • Click OK/Print. PRESTO!

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