The triangle is available in three models
The classic for the discerning triangle aficionado. Three equal sides, three equal angles. Liberté, égalité, fraternité!
With at least two equal sides, isoceles is sometimes equilateral and visa versa. Or as the ancient Greeks would say, iso skelos!
Oh scalene, you odd man out, you rebel. Not one equal side and a steep argument at every angle. Mein Gott!