An environment for exploring the properties of small groups.
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Thinking of circles as polygons with an infinite number of sides -
but how does this help us with our understanding of the
circumference of circle as pi x d? This challenge investigates. . . .
An environment that enables you to investigate tessellations of
Find the ratio of the outer shaded area to the inner area for a six
pointed star and an eight pointed star.
Make five different quadrilaterals on a nine-point pegboard,
without using the centre peg. Work out the angles in each
quadrilateral you make. Now, what other relationships you can see?
Two polygons fit together so that the exterior angle at each end of
their shared side is 81 degrees. If both shapes now have to be
regular could the angle still be 81 degrees?
This LOGO challenge starts by looking at 10-sided polygons then
generalises the findings to any polygon, putting particular
emphasis on external angles
Draw three equal line segments in a unit circle to divide the
circle into four parts of equal area.
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.
What are the shortest distances between the centres of opposite
faces of a regular solid dodecahedron on the surface and through
the middle of the dodecahedron?