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Reference.org
Calabi triangle
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<p>The Calabi triangle is a special <a href="/facts/Triangle/cRXUwsMn">triangle</a> found by <a href="/facts/Eugenio_Calabi/jm1DIMJm">Eugenio Calabi</a> and defined by its property of having three different placements for the largest <a href="/facts/Square/JHJeMvmL">square</a> that it contains. It is an <a href="/facts/Isosceles/rvLe3yqK">isosceles</a> triangle which is <a href="/facts/Obtuse_triangle/YrYTg0Ao">obtuse</a> with an <a href="/facts/Irrational_number/Psv19TET">irrational</a> but <a href="/facts/Algebraic_number/MkH1PzTK">algebraic</a> ratio between the lengths of its sides and its base. </p>