Answers

Monday: Who were the three co-discoverers of non-Euclidean geometry?

Answer: Karl Frederich Gauss, Janos Bolyai, and Nikolai Ivanovich Lobachevsky

Tuesday: Born in 1906, this logician was one of the seminal figures of the 20^th century. His Incompleteness Theorem led him to state:

"Either mathematics is too big for the human mind or the human mind is more than a machine."

Who was he?

Answer: Kurt Gödel

Wednesday: A regular polygon has all sides congruent and all angles congruent. For example, in a regular hexagon the measure of each angle is 120 degrees. If the measure of one angle of a regular polygon is 162 degrees, how many sides does the polygon have?

Answer: 20 sides

Thursday: A triangular number is one that is the sum of consecutive integers beginning with 1. For example, 6 = 1 + 2 + 3 is a triangular number. What is the smallest triangular number that begins with the digits 2006...?

Answer: 200661 = 1 + 2 + 3 + ... + 633

Friday: There are three ways to fill a 3×2 rectangle with 2×1 rectangles as shown in the figure below.

 

How many ways are there to fill a 3×6 rectangle with 2×1 rectangles?

 

Answer: 41

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