Two gems from the wizard of recreational maths

UPDATE: Puzzle solutions can be read here.

Today’s column is a celebration of John Horton Conway, the legendary British mathematician, who died of coronavirus earlier this month, aged 82.

Conway was an inspirational, iconoclastic genius who invented and studied countless puzzles and games, in addition to his more highbrow work in group theory, number theory, geometry, topology and many other fields.

The answers to today’s puzzles

Earlier today I set you two puzzles that the late John Horton Conway suggested for this column:

1) The Miracle Builders

Boris Johnson has insisted he will act with “maximum caution” in any measures aimed at easing the lockdown

Dwayne Johnson and Emily Blunt are re-teaming on the superhero movie "Ball and Chain" following their collaboration on "Jungle Cruise." The project is being shopped among studios, including Netflix, but no distribution deal has closed. "Ball and Chain" is being written by Oscar nominee Emily V. Gordon and is an adaptation of the '90s comic […]

Another 'Star Wars' actor has added their voice to the criticism of Rian Johnson's movie.

"To use that American expression, he almost took one for the team" Read our live coronavirus updates HERE

Follow our live coronavirus updates HERE Fiancee Carrie Symonds said: "There were times last week that were very dark indeed"

The PM's spokesman confirmed Boris Johnson has tested negative for Covid-19 Coronavirus: the symptoms Follow our live coronavirus updates here

Boris Johnson watched Dominic Raab take on Sir Keir Starmer at PMQs from Chequers today as he continues his recovery from coronavirus.

Securing more personal protective equipment was top of the agenda for the Prime Minister as he returned to work, his official spokesman said.

Boris Johnson will not take part in Prime Minister's Questions today following the birth of his son.

The pair announced the exciting news this morning

Priti Patel had defended Boris Johnson after he was branded a "racist" by rapper Dave on stage at the 2020 Brit Awards.

The PM has had two life-changing events in just three weeks - a new family and a brush with death

He has now been absent from the front line of the Government response for a month, after his three-week recovery period at the Chequers official residence in Buckinghamshire.

It seems like a lifetime ago that Boris Johnson announced that he and his partner were engaged and expecting a baby.

Prime Minister Boris Johnson led the sixth national applause for frontline workers as his fiancee Carrie Symonds tweeted she had "another wonderful reason to thank the NHS this week too".

Read the full interview HERE

Boris Johnson has said he feared he would not live to see his son born as he battled coronavirus in hospital last month.

One of Boris Johnson's closest allies quit as a minister today after being found to have breached the MPs' code of conduct by trying to "intimidate" a company chairman involved in a loan row with his father.

Sir Keir Starmer has urged the Prime Minister to form a "national consensus" on the next phase of the Government's coronavirus response as ministers work on plans to ease the lockdown.

Downing Street has replaced a trade minister who resigned when an investigation found he threatened a company chairman over a financial dispute with his father.

Lockdown measures may start to be lifted on Monday "if we possibly can", Boris Johnson has announced.

Boris Johnson has set out a new target of 200,000 coronavirus tests a day by the end of May, as he admitted he "bitterly regrets" the crisis in care homes.

He also said he "bitterly regrets" the crisis in care homes, where staff have hit out at a lack of testing and PPE. The latest figures show that nursing home fatalities are continuing to rise, standing at 2,794 in the week to April 24, despite deaths in all settings beginning to fall.

The Government has failed to meet its 100,000 coronavirus daily testing target for the fifth day running as criticism mounts on ministers to bolster supplies.

Premier John Horgan has written to NHL Commissioner Gary Bettman pledging the government's support for Vancouver as a hub city if hockey returns this season.

Despite everything, the Tory party is sticking to the ideology of the free market, rather than saving lives and jobs

“How on earth did it come to this?” Keir Starmer’s question could skewer Boris Johnson at every PMQs from now on. It encompasses all the damage the government did in the last decade, as well as all it has failed to do to protect the country from Covid-19. The list of derelictions in the early stage of the crisis is long, the testing and the protective equipment still shamefully inadequate. Have lessons been learned? The auguries are not good.

Related: Picnics and sunbathing on cards as PM expected to allow more time outside

Clarity on lifting Covid-19 rules needed, from increasing time outdoors to schools returning

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Boris Johnson will address the nation on Sunday to set out a road map for how England might leave the Covid-19 lockdown. Any immediate changes have been billed as modest and incremental, but people are expecting more details on how life could differ over the next few weeks. Here are the questions the prime minister needs to answer:

Show's expert called it 'by far the most expensive thing [he's] ever seen in 25 years'

'The man's done a lot of stupid s***'

'That is what is infuriating here. Even though Trump has access to the country's top experts, he's still getting advice from watching TV'

Actor has been sharing skits and positive stories to provide some relief during the coronavirus pandemic

It's nice to see Penny and Leonard are still on good terms

Chef inadvertently started a blaze in his kitchen as Holly Willoughby and Phillip Schofield looked on in shock

Many people have reported experiencing more dreams than usual during lockdown

This brand new laugh-out-loud police series stars Stephen Graham and Daniel Mays

'Why so much anti-Boris clips in a time when the country should be united?'

TV host went into a detailed analysis of the low testing rate in the US amid the coronavirus pandemic

Finlay was married to Joe Exotic during filming of 'Tiger King'

Actor is famous for making her opinions known during interviews

• Rickie Fowler and Matthew Wolff the opposition at Seminole
• Broadcast to be screened live in UK and United States

Rory McIlroy, Dustin Johnson, Rickie Fowler and Matthew Wolff are to take part in an event to raise money for coronavirus charities. The foursome will play in the TaylorMade Driving Relief – a two-team skins challenge over 18 holes – at Seminole in Florida on 17 May.

McIlroy, the world No 1, will team up with Johnson against Fowler and Wolff, with up to $3m (£2.38m) going to the American Nurses Foundation and CDC Foundation. All four will follow strict physical-distancing measures and comprehensive testing will be used to protect players, TV staff and others at the course.

Related: Golf must be force for good when it makes long-awaited return | Ewan Murray

The actor amassed more than a million followers in one hour

Hollywood star Johnny Depp's libel battle against The Sun newspaper has been postponed thanks to coronavirus as the actor is stuck in France and unable to fly to London.

The EastEnders actor has discussed his struggle with addiction

One-to-one video chats to help you streamline your wardrobe

Hardworking wardrobe staples from one of luxury fashion's coolest sustainability stars