The Lando Trick

A novel way to generate a super magic square of a certain sum while an arbitrary numeral is placed in an arbitrary cell

What you'll learn

Master the ability to demonstrate the Lando trick before an audience

Understand how to perform the Lando trick

Understand how much the Lando trick differs from a quite well known math trick

Understand how come the Lando trick works

Requirements

Basic arithmetic in the level of the fourth grade in elementary school

Description

Lando trick is a  novel way to surprise friends or an audience by generating a super magic square of a certain sum while an arbitrary numeral is placed in an arbitrary cell.  After an introduction in the first section of the course, the second section outlines a recipe for performing the Lando trick in two steps.  The square is divided into four corners, and in the first step, two opposite corners are filled.  In the second step, the remaining two corners are filled. Finally, four placeholders are replaced by four respective calculated numbers to get the desired sum. This section concludes with several tips for performing the Lando trick in front of an audience.  Also, an example is demonstrated.  In the last section of the course, The third section of the course justifies the recipe by a discussion of a 4X4 diagonal mutually orthogonal Latin square or MOLS. It is shown that the super magic square implements a diagonal MOLS. Then, relocating an arbitrary entry of the diagonal MOLS to an arbitrary cell is performed in two steps, without recalculation of the entries.  It is shown that in the second step, may necessitate flipping of opposite corners.  That ability in diagonal MOLS justifies the recipe for Lando trick.   

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Performing the Lando trick

Lecture 2 Analysis odf a super magic square

Lecture 3 Performing the trick: step 1

Lecture 4 Performing the Lando trick: step 2

Section 3: How come the trick works

Lecture 5 The super magic square implements a diagonal MOLS

Lecture 6 Relocating entries: a first option

Lecture 7 Relocating entries: a second option

A professional mathematical magician and/or a mentalist.,An amateur recreational mathematician.,A math student in high school, college or university who would like to impress colleagues.