Christmas Lectures 2006 Dodecoration There are some pretty great shapes out there in the world. What you need: printer paper or thin card coloured pens scissors glue Lecture 2 is all about shapes, and the ways that different shapes can fulfil different purposes, like why bricks and tiles are rectangular. The dodecahedron is a twelve-sided shape and we have designed one here for you to cut out and use as a Christmas decoration – all you need to do is: • print out the next sheet on a piece of paper or thin card • cut the shape out along the solid lines • fold along all the dotted lines bringing the two unprinted sides together on every fold • start to glue the tab of each ‘petal’ underneath the petal next to it • you will end up with two ‘cups’ that then can be brought together to make the final dodecahedron shape • thread a piece of string and hang on your Christmas tree or put on your shelf as a room ornament. The second blank shape is called ‘Dodecadoodle’ and you can colour it in with your own design and patterns, or use the 12-sided property of the dodecahedron to stick on the months of the year and make a calendar. Mathematicians have proved that there are only five possible 3D shapes that can be made if all the 2D pieces that make up the shape are the same. The dodecahedron that you have just made is one of these five shapes. What are the other four? 1 Christmas Lectures 2006 Dodecoration Glue here Glue Glue here Glue h ere here Glue here Fold along the dotted lines re Glu e Glue here here he here Glue Glue Christmas Lectures 2006 Gl re Glu e he Gl ue he re he re here Glu e here Glue Glue Gl Glue here ue he re Glue here 2 ue re he ere Glu eh Christmas Lectures 2006 Dodecoration Dodecadoodle Glue here Glue Glue here Glue h ere here Glue here Fold along the dotted lines re Glu e he here Glue Glue here Glue here Gl re Glu e ue he Gl ue he re he re here Glu e here Glue Glue Gl Glue here ue he re Glue here 3 re he eh ere Glu
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