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. . . .
An environment that enables you to investigate tessellations of
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. . . .
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'?
Using the interactivity, can you make a regular hexagon from yellow
triangles the same size as a regular hexagon made from green
L triominoes can fit together to make larger versions of
themselves. Is every size possible to make in this way?
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?
If the yellow equilateral triangle is taken as the unit for area,
what size is the hole ?
A geometry lab crafted in a functional programming language. Ported
to Flash from the original java at web.comlab.ox.ac.uk/geomlab