Skill MaintenancePage 127

Hidden Lines in Tessellations◦ “Mind’s Eye” – the angle defined by our mind’s eye

to help us find the pattern.◦Angles are all the same.◦These angles help us understand what shapes can

and can not tessellate. Hidden Circles in Tessellations ◦Tessellations are closely connected to circles◦Some regular polygons tessellate and some do not.◦ If the angle of a regular polygon is a factor of 360

it will tessellate.

More Tessellations

Mind’s Eye hidden circles Circle is where the shapes come together The sum of the angles at these locations is

360°

Hidden Circles in Tessellations

Hidden Circles in Tessellations

Hidden Circles in Tessellations

Hidden Circles in Tessellations

Hidden Circles in Tessellations

Hidden Circles in Tessellations

Hidden Circles in Tessellations

Tessellate a Regular Pentagon

Where are the circles?

Tessellate a Regular Pentagon Angle in regular pentagon is 108°

Angle in regular pentagon is 108 108 is not a factor of 360 so a regular

pentagon will not tessellate

Tessellate a Regular Pentagon

Where are the circles?

Where are the circles?

Does the regular polygon tessellate?

Problem SolvingPages 128

HomeworkPages 245

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