Kate with Prince Philip (Image: Getty Images)

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The Duke and Duchess of Cambridge have joined other members of the royal family in sharing poignant messages and photos on social media to mark what should have been Prince Philip's 100th birthday.

The Duke of Edinburgh would have marked his centenary today, but instead his beloved wife the Queen is spending the day in Windsor without her "strength and stay".

The Monarch was presented with a rose named after Philip by the Royal Horticultural Society, which she planted to mark the day.

Kate and William took to Instagram to share photos of her accepting the rose and admiring the beautiful flowers in the sunshine.

They wrote: "Remembering His Royal Highness The Duke of Edinburgh, on what would have been his 100th birthday.

The Queen marked the day by planting a rose
(Image: PA)

"Last week, The Queen was gifted a Duke of Edinburgh rose by @the_rhs, of which Her Majesty is Patron.

"Named in The Duke's memory, the rose is planted in the East Terrace Garden, Windsor Castle."

Princess Eugenie, another of the Queen and Philip's grandchildren, also used social media to pay tribute to the late royal.

She shared a lovely photo of her grandparents together with the caption: "Thinking of Grandpa on what would have been his 100th birthday."

She is putting together an exhibition to celebrate her late husband's life
(Image: PA)

The Queen is putting together an exhibition to show the legacy of Philip's life, which will be displayed at Windsor and Edinburgh later in the summer.

She has personally chosen some of the exhibits, which she hopes will bring the public together with them to “collectively ­celebrate the Duke of Edinburgh’s extraordinary life”.

Palace sources said the royals hope it will mean “many people will be able to share in his incredible life and legacy”.

Princess Eugenie also paid tribute to her grandfather
(Image: PA)

The Royal Collection Trust, in conjunction with the royals, has pulled together 150 exhibits to commemorate Philip, the nation’s longest-serving consort who died aged 99 on April 9.

The Queen has loaned the ­exhibition three never-before-seen paintings completed by her husband of 73 years.

Of special significance is Philip’s painting of Loch Muick on the Balmoral estate, where he taught daughter Anne to sail and where he spent many happy hours with his wife.

The image will go on display at the Palace of Holyroodhouse in Edinburgh.

Eugenie chose to share a photo of Philip with the Queen
(Image: PA)

The Queen recently named a corgi puppy Muick given to her this year by Prince Andrew.

A photograph taken by her daughter-in-law Sophie, the Countess of Wessex in 2003 was released following Philip’s death, and shows the couple looking relaxed at the beauty spot.

Another image on show in ­Edinburgh is of fishermen’s cottages in Malaysia that he painted during a tour in the 1950s.

The Queen’s final selection on display at Windsor shows a view of the castle in Berkshire where the royal couple spent large parts of the pandemic.

Further displays will shine a light on the significant events in his life, from his distinguished naval career to his many patronages.

On show at Holyroodhouse will be touching mementoes from the day Philip married ­Elizabeth in 1947, including the invitation, order of service and wedding breakfast menu.

A royal source said: “Her Majesty will take a quiet moment of reflection on what would have been the Duke’s 100th birthday and, along with the rest of the Royal Family, is very much hoping many people will be able to share in his incredible life and legacy.

“It is the most fitting way to ­collectively celebrate the Duke of ­Edinburgh and for his life to be honoured in this way is very special.”