I, Sophie the Mathmo, hereby summon you to complete this challenge: Unless you have been living under a rock, you will know that the US have elected a new President. The in fact. So today’s task will be topical Can you create all the integers from to using the digits , , , in thatContinue reading “Sunday’s Summons: (Don’t) STOP THE COUNT”

# Tag Archives: Sunday’s Summons

## Sunday’s Summons: Socially-Distanced Stabbing (for Sport)

I, Sophie the Mathmo, hereby summon you to complete this challenge: Following on from this morning’s Sunday’s Summons, I want to talk about the second activity I participated in Cambridge. I went to a fencing training session! In order to be COVID-safe, we fenced in groups of and didn’t mix outside of these groups. AtContinue reading “Sunday’s Summons: Socially-Distanced Stabbing (for Sport)”

## Sunday’s Summons: Rowing Round the Bend!

I, Sophie the Mathmo, hereby summon you to complete this challenge: Last weekend I was in Cambridge so last week’s Sunday’s Summons rolls over to this week and you lucky people get TWO challenges! Whilst I was in Cambridge, I met may people and participated in two sports. The first of these was rowing. IContinue reading “Sunday’s Summons: Rowing Round the Bend!”

## Sunday’s Summons: The OG SophieTheMathmo

I, Sophie the Mathmo, hereby summon you to complete this challenge: Avid followers of this blog will have seen me post profiles of female Mathematicians this week. The first of these was Sophie Germain (https://sophiethemathmo.wordpress.com/2020/10/06/7-days-to-go-sophie-germain/) and I mentioned that a Sophie Germain prime is a prime such that is also prime. What is the highestContinue reading “Sunday’s Summons: The OG SophieTheMathmo”

## Sunday’s Summons: Building Blocks

I, Sophie the Mathmo, hereby summon you to complete this challenge: As you know, dominoes are made up of two squares, and there is one type of domino (if we consider rotations to be the same). There are also similar shapes called “trominoes” made up of three squares. There are two different types of trominoContinue reading “Sunday’s Summons: Building Blocks”

## Sunday’s Summons: Around a Chessboard in 64 steps?

I, Sophie the Mathmo, hereby summon you to complete this challenge: In chess, a knight moves either by travelling squares in a given direction, then square in a perpendicular direction, OR by travelling square in a given direction, then squares in a perpendicular direction. A “knight’s tour” is a sequence of such moves that visitsContinue reading “Sunday’s Summons: Around a Chessboard in 64 steps?”

## Sunday’s Summons: Squaring Up

I, Sophie the Mathmo, hereby summon you to complete this challenge: Can you construct a square made up of smaller squares, which are all different sizes? This is known as squaring the square, and the unique solution to the above is the smallest square that can be constructed in such a manner. It is alsoContinue reading “Sunday’s Summons: Squaring Up”

## Sunday’s Summons: Prime and Prime Again

I, Sophie the Mathmo, hereby summon you to complete this challenge: A left-truncatable prime number is a number which remains prime no matter how many digits you remove from the front (e.g. is a left-truncatable prime because not only is it prime, but so are , and ). What is the largest left-truncatable prime numberContinue reading “Sunday’s Summons: Prime and Prime Again”

## Sunday’s Summons: Pentagonal Pandemonium

I, Sophie the Mathmo, hereby summon you to complete this challenge: On Tuesday, I posted about regular polygons tiling the plane and we discussed how a regular pentagon does not tile the plane (https://sophiethemathmo.wordpress.com/2020/09/02/protests-plane-tiling-and-ppe/). However, there are irregular convex pentagons that tile the plane monohedrally (i.e. with using the same identical shape repeatedly). How manyContinue reading “Sunday’s Summons: Pentagonal Pandemonium”

## Sunday’s Summons: Can 2020 Change?

I, Sophie the Mathmo, hereby summon you to complete this challenge: How many ways can you make £ using currency in circulation in Britain? Good luck and see you next week for another Sunday’s Summons