The Lando Trick

所在平台: Udemy

课程主页: https://www.udemy.com/course/the-lando-trick/

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课程简介

**课程名称:兰多技巧 (The Lando Trick)** **课程概述:** 本课程介绍一种新颖的魔术技巧——“兰多技巧”,能够根据观众随意指定的一个数字,生成一个特定总和的超级幻方,给朋友或观众带来惊喜。 **课程内容:** * **第一部分:引言** * 介绍兰多技巧的基本概念。 * **第二部分:表演步骤与技巧** * 详细阐述表演兰多技巧的两步法: 1. **第一步:** 将幻方的四个角分为两部分,先填充相对的两个角。 2. **第二步:** 填充剩余的两个角。 * 最后,用四个计算出的数字替换占位符,得到所需的总和。 * 提供在观众面前表演兰多技巧的实用技巧。 * 通过一个具体示例进行演示。 * **第三部分:理论证明与原理** * 深入探讨兰多技巧的数学原理,通过分析 4x4 对角相互正交拉丁方 (MOLS) 来论证其可行性。 * 证明超级幻方实现了对角 MOLS。 * 展示如何在不重新计算其他数字的情况下,将对角 MOLS 中的任意一个数移到任意位置,并将其分为两步进行。 * 指出第二步操作可能需要“翻转”相对的两个角。 * 论证对角 MOLS 的这种特性是兰多技巧表演步骤的理论依据。

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课程详情

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.

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