
Regular polygons and circles
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problemThe sides of a triangle are 25, 39 and 40 units of length. Find the diameter of the circumscribed circle.
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problem
Dodecawhat
Follow instructions to fold sheets of A4 paper into pentagons and assemble them to form a dodecahedron. Calculate the error in the angle of the not perfectly regular pentagons you make.
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problem
LOGO challenge - following on
Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?
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LOGO challenge 9 - overlapping polygons
This LOGO challenge starts by looking at 10-sided polygons then generalises the findings to any polygon, putting particular emphasis on external angles
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LOGO challenge 6 - triangles and stars
Recreating the designs in this challenge requires you to break a problem down into manageable chunks and use the relationships between triangles and hexagons. An exercise in detail and elegance.
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LOGO challenge - circles as animals
See if you can anticipate successive 'generations' of the two animals shown here.
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LOGO challenge 10 - circles
In LOGO circles can be described in terms of polygons with an infinite (in this case large number) of sides - investigate this definition further.
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LOGO challenge 1 - star square
Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.
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Shapes on the playground
Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?