- angle properties from a triangular tessellation
- completing a triangle tessellation
- quadrilateral tessellations are also 180 rotations about the mid-points (must they be?)
- seeing the basis ('skeleton') for a tessellation
with some of the angles on the grid labelled:
(a , b or c)
you can see what
e.g. the angle sum of a particular hexagon is
what are the angles in a complete turn?
(2a + 2b + 2c)
in half a turn?
what happens to the angles on parallel lines?
to complete a tessellation of triangles maybe encourage students to identify the sets of parallel lines - so that their tessellations go right to the edges of the space provided
for quadrilaterals:
which is a tessellation of the triangle that is half of the parallelogram
there are various 'skeleton' (as David Wells calls them) tessellations of parallelograms that can be discerned
the easiest to 'see' is the one that joins corresponding corners - based on the vectors that they translate through to generate the tessellation
hinged tessellation by Al Grant
there are several interactive versions,
the corners of which can be adjusted
No comments:
Post a Comment