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:

Here is the answer:

And now here is Mark Hennings’ published solution:

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?

SPACE STATION DODECAHEDRON