In the lesson, we went over some older memories from primary
school and talked about the different types of symmetry. Although we drew some
examples of rotational and reflectional symmetries, the main points of discussion
were scale and translation symmetry. Scale symmetry, as we went on to learn
about this in future lessons, was essentially describing the self-similarity of
shapes. We attempted to show this type of symmetry in our books too, by drawing
a square with many rotating squares inside of it. The remaining type,
translational symmetry or tessellation, was how one shape could be used to fill
an area without leaving any spaces. One example would be, as we discussed in
class, the hexagons of a beehive. Another naturally occurring tessellation is the pineapple as it is, like the beehive, filled with many hexagons. Though
these are irregular shapes, it is still quite interesting to see how nature’s
beauty is based on mathematics.
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