Go on a vector walk and determine which points on the walk are
closest to the origin.
Triangle ABC is equilateral. D, the midpoint of BC, is the centre
of the semi-circle whose radius is R which touches AB and AC, as
well as a smaller circle with radius r which also touches AB and
AC. . . .
If the yellow equilateral triangle is taken as the unit for area,
what size is the hole ?
An environment that enables you to investigate tessellations of
are somewhat mundane they do pose a demanding challenge in terms of
'elegant' LOGO procedures. This problem considers the eight
semi-regular tessellations which pose a demanding challenge in
terms of. . . .
Using LOGO, can you construct elegant procedures that will draw
this family of 'floor coverings'?
Three examples of particular tilings of the plane, namely those
where - NOT all corners of the tile are vertices of the tiling. You
might like to produce an elegant program to replicate one or all. . . .
L triominoes can fit together to make larger versions of
themselves. Is every size possible to make in this way?
Using the interactivity, can you make a regular hexagon from yellow
triangles the same size as a regular hexagon made from green
Can you recreate these designs? What are the basic units? What
movement is required between each unit? Some elegant use of
procedures will help - variables not essential.
Triangle ABC has equilateral triangles drawn on its edges. Points
P, Q and R are the centres of the equilateral triangles. What can
you prove about the triangle PQR?
A geometry lab crafted in a functional programming language. Ported
to Flash from the original java at web.comlab.ox.ac.uk/geomlab