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Rotation
The yellow triangle has four rotations. Resize the purple triangle to create a pattern of five triangles filling the space around the centre.

What angle is needed to make this work exactly?

Angle:
Result:
Please enable Java for an interactive construction (with Cinderella).
a0 a1 a2 a3 a4
b0 b1 b2 b3 b4
c0 c1 c2 c3 c4
d0 d1 d2 d3 d4
e0 e1 e2 e3 you are here
f0 f1 f2 f3 f4
g0 g1 g2 g3 g4
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