Categories
Intermediate

Unity

A square, a rectangle and two semicircles, one of which is centered in the shared vertex. What is yellow : blue?

Categories
Intermediate

The Gakopoulos proportion

Two concentric quarter circles and a square. What is purple : red?

Categories
Beginner

Brick oven II

A rectangle inside a square. What fraction is yellow in terms of x?

Categories
Intermediate

Spiegel im Spiegel II

A square containing a square with two extended sides. What is the blue fraction?

Categories
Beginner

A mild temperature

Two squares and a diagonal. What’s the angle α?

Categories
Intermediate

Slip sliding

Two squares share a vertex. The shown vertex can lie anywhere on the lower side. What is the maximum of red/blue?

Categories
Intermediate

Centre of attraction III

Three congruent squares and an equilateral triangle. What is blue : orange?

Categories
Intermediate

Communicating vessels

A semicircle and two squares. What is the blue area in terms of a and b?

Categories
Beginner

Equal partition

A rectangle and a square with an extended side. Prove that their areas are equal.

Categories
Beginner

Roll the dice

Two squares inscribed in a rectangle. What fraction is purple?