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At a Glance

The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?

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No Right Angle Here

Prove that the internal angle bisectors of a triangle will never be perpendicular to each other.

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A Sameness Surely

Triangle ABC has a right angle at C. ACRS and CBPQ are squares. ST and PU are perpendicular to AB produced. Show that ST + PU = AB

Logo Challenge 3 - Star Square

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1
Here are two ideas for designs based on squares which you might like to create.
Sqaures in a circle

More squares in a circle

A very elegant solution could invovle "nested" REPEATS, that is the REPEAT you use to draw the square inside a REPEAT to draw several squares.

How about other designs based on squares that use "nested" REPEATs.