Today’s mathematicians would probably agree that the Riemann Hypothesis is the most significant open problem in all of math. It’s one of the seven Millennium Prize Problems, with $1 million reward for its solution.

How long did it take early computers to perform a basic math problem?

Scientists have trained a computer algorithm to complete a nearly century-old math problem in a mere half hour. Keller’s conjecture, a tessellation problem about the way certain shapes tile in certain spaces, has been solved for all but seven-dimensional space.

What are the three ancient impossible construction problems of Euclidean geometry?

whose degree, 3, is not a power of 2. . But this is a so-called “transcendental number”: it is not the solution to any polynomial equation with rational coefficients, let alone one whose degree is a power of 2. whose degree, 3, is not a power of 2.

Can you square the circle?

The area of a circle is pi times the radius squared. A circle with a radius five has an area of 25 pi. Since the area of the circle will always be a transcendental number and the area of a square has to be an integer, this can never happen in a finite number of steps. Therefore, you cannot square a circle.

What are two angles that can be trisected with a straightedge and compass?

Some angles can be trisected by compass and straightedge. For example, a 180° angle can be trisected by constructing a pair of equilateral triangles. A 90° angle can be trisected by constructing a 30° angle on each of the two lines.

Can 7 lines be perpendicular to each other?

Seven lines, all strictly perpendicular. To what? Erm, to everything. Among themselves. I assumed you know what perpendicular lines are like! Of course he does. He’s an expert! Two lines can be perpendicular. All seven can’t be simultaneously perpendicular to each other.

How many red lines does the expert have?

Seven Red Lines (aka “The Expert”): The Transcript. [If dealing with absurd situations like those outlined in this hysterical sketch is part of your work life – learn about how to deal with them better following Goldratt’s Major Concepts or by reading this Chapter by Chapter summary of The Goal.]

Can you draw Red Lines?

Yes, of course. Anderson here is our expert in all matters related to drawing red lines. We brought him along today to share his professional opinion. Nice to meet you! Well, you know me. This is Justine, our company’s design specialist. We need you to draw seven red lines. [Pause.]