A Solution and Some New Problems

A solution and a couple more problems from brilliant.org.

INTRODUCTION

On Wednesday I left you with a problem from brilliant.org to tacke having presented solutions to several others. Today I start with a solution and then present you with some new problems.

SOLUTION TO WEDNESDAYS PROBLEM

Here is the problem again:

Fermat Challenge

Here is the answer:

Fermat answer

And now here is Mark Hennings’ published solution:

Hennings

As a side issue various commenters on brilliant.org demonstrated their failure to read the question by bringing up examples of numbers that are both square and cube (e.g 64), but these are utterly irrelevant since the question was about a number that is both one more than a square and one less than a cube.

NEW PROBLEMS

Two new problems for you, one easy, especially if you are familiar with the story of Signor Malfatti, and one slightly more difficult but quite fun.

CAN YOU OUTDO MALFATTI?

Malfatti Mistake question

SPACE STATION DODECAHEDRON

Space station Dodecahedron

Author: Thomas

I am branch secretary of NAS West Norfolk and #actuallyautistic (diagnosed 10 years ago at the comparatively advanced age of 31). I am a keen photographer, so that most of my own posts contain photos. I am a keen cricket fan and often write about that subject. I also focus a lot on politics and on nature.

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