The ubiquitous number 1089

1 Description of the Project

A few days ago a magical effect based on some mathematical idea was performed in class. The student is asked the following:

• Describe the magic effect.
• Find out what the mathematical idea behind the magic effect is. In particular, describe when it does work and when it does not.
• Provide a mathematical proof that your idea works.
• Can this effect be done for two-digit numbers? What about four-digit numbers? Justify your answers.
• Write a two-page report answering all the previous questions.

 

2 Written Paper

A paper describing the following points must be handed over.

• Description of the magic effect.
• Proof of your mathematical idea.
• Generalizations to two- and four-digit numbers.
• The paper has to be written in correct Spanish or English; it also has to possess clarity of thought. Show me what you know; do not force to search for it through a poorly written paper.

 

3 Grading

This projects counts 0.15 of your final grade.

 

4 Questions and Office Hours

I am willing to answer your questions during my office hours.