Grayson Perry said he was pleased the two vases ended up so similar
The two huge pots feature images of Nigel Farage, people's tattoos, British landmarks, Sir Winston Churchill, supermarket Waitrose and David Bowie.
They were crafted after the Turner Prize-winner, 57, asked people on social media, on both sides of the argument, to contribute images of themselves and others, phrases and photographs, for each vase.
The Brexit and Remain pots ended up having much in common – with both featuring bacon and eggs, local pubs, dog walking, family, David Bowie and Marmite – and Perry has called them Matching Pair.
He said: "The two pots have come out looking remarkably similar, which is a good result, for we all have much more in common than that which separates us."
The Remain pot includes the late MP Jo Cox, presenter Gary Lineker, Barack Obama, Gandhi, Shakespeare and logos for Waitrose and the NHS.
Farage appears on the Leave pot alongside Sir Winston, the Queen, Sir Francis Drake and chocolate brand Cadbury's.
The Leave vase includes images of Nigel Farage and Winston Churchill
Perry said: "The composition and the form of the things were all in my control but the content, the actual choice of images, colour, symbols is all crowd-sourced.
We all have much more in common than that which separates us
"Both the Remain and Leave groups picked the teapot as their favourite symbol.
"I asked people to send me photographs of things they love about Britain and they were very similar. They all sent me pictures of their local church, very British landmarks, a fry-up, the local pub, walking the dog, the children, a nice sunset."
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The groups only diverged when asked to pick people who represent their values, with Perry adding: "The only overlap in the top 10 was David Bowie. He's on both of them, on several places."
The Remain vase depicts symbols like Barack Obama and Ghandi
Both vases, which will be seen in Perry's new Channel 4 show, Grayson Perry: Divided Britain, on Tuesday night, are decorated with the images of people around Britain.
"They're random people who sent the images. I chose them for what they'd look like, if they were interesting poses," he said.
"But a lot of people are so bad at photography, the photos were so awful I couldn't really work with them. And I asked for full length and god knows how many people sent me the waist up," the artist complained.
The Leave pot features a woman with the words "crazy chicken lady" on her t-shirt and a man who plays wheelchair rugby.
Brexit: Results of how the UK voted Mon, March 20, 2017
Much of the North East of the United Kingdom voted to leave the European Union including Sunderland, Gateshead, Darlington, Durham, Hartlepool, Middlesbrough, Stockton, Redcar and Cleveland, North Tyneside and South Tyneside, and Northumberland
Getty Images 1 of 8
GREAT YARMOUTH: The town of Great Yarmouth on the East Coast of England voted by 72% to leave the European Union.
"He's a member of the team of the Dorset Destroyers. Take that how you will," Perry said.
"On the Remain one, there's someone with a t-shirt from (Banksy's) Dismaland."
Asked for his own views on Brexit, Perry said: "I couldn't possibly say".
But on immigration, he said: "I think the Remain camp made a mistake in dismissing that as racism. When I talk to the people in Boston (Lincolnshire) while making the Channel 4 film, there's something very fundamentally unsettling about the speed in which their local culture of their town has changed.
Grayson Perry asked for people to send images and phrases for each vase
"I think that we don't give credence to a lot of little drips of experience that make you feel that you belong somewhere."
The pots, along with other new works including tapestries and a giant bicycle, are going on display at London's Serpentine Gallery.
Perry called for a rethink of arts in education, saying: "Most kids make stuff on (video game) Minecraft. They don't touch real materials.
"One of the things we don't need to learn now is facts. We've got Google. An eight-year-old now can find out anything she needs to know and can probably check it.
"Arts are part of learning how to live, they're about developing your intuition, your emotional life, your social life, your physical body and expression.
"How to have relations and bring up children might be the number one thing you should have on the curriculum. That's the basis of a good life."
• Grayson Perry: Divided Britain airs on Channel 4 on Tuesday May 30 at 9pm.
• Grayson Perry presents The Most Popular Art Exhibition In The World Ever! runs at the Serpentine Gallery from June 8 to September 10. For more details, visit serpentinegalleries.org.