Interesting Tessellations (Alex Ho)

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In the lesson, we applied rotational symmetry on our own
free-hand designed polygons, where the more points we had, the more exciting
the activity became. Although only practising with rotational symmetry, we
learnt of the others, including reflectional (also known as line symmetry),
scale symmetry and translational symmetry (better known as tessellation).

When thinking of an example of tessellation, the most common
thought would be of beehives and their hexagonal shapes. Research of other
tessellations has made me think of how blindly I played without noticing it.

Tessellation can be found within games. A chess board
consisting of 64 squares, with 2 alternating colours (usually a dark colour and
a light colour) feature a tessellation of squares, unlike a beehive, with its
hexagons and relatively same colours.

Throughout the lesson, we were tasked to form a 10cm by 10cm
square, then creating smaller ones inside at the half and the quarters (on the
right hand side of the half line), creating an interesting looking spiral
effect. But when finishing the squares as far as the pencil allows, the half
way lines (when joined) surprisingly form their own golden spirals.

The completed shape with the spirals joined, although what
started off as something simple, turned out to produce something complex.

#exploremaths

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