Paris Photo 2021 was a wonderful show. Back after the pandemic it was moved to the Grand Palais Éphémère, a temporary structure built to host major art exhibitions while the Grand Palais itself is modernised in preparation for the 2024 Olympics. There were 178 exhibitors at the Grand Palais from 29 countries, 19 solo shows and 8 duo shows. There were thousands of images on display.

I should have emerged from the Design Museum sizzling with furious determination to help solve the world’s rubbish crisis. Trashing the planet is, after all, the most important issue of our time and Waste Age details the enormity of the problem.

Its more than 50 years since Yoko Ono first presented Mend Piece at the Indica Gallery, London in the exhibition through which she met John Lennon. The piece is currently being revisited at the Whitechapel Gallery and, in the intervening years, its meaning has subtly shifted. Strewn over four tables are dozens of broken cups and saucers along with everything you need to attempt a botched repair – glue, sellotape, scissors and string.

Last year a stoneware jar by David Drake sold at auction for $1.3 million. It fetched this extraordinary price because of its history: Drake was a slave on a plantation in South Carolina who not only made fabulous pots, but dared sign and date them at a time when it was illegal for slaves to read and write. Needless to say, his descendants haven’t received a penny in royalties from sales of his work.

Isamu Noguchi may not be a household name, yet one strand of his work is incredibly familiar. In 1951 he visited a lamp factory in Gifu, a Japanese city famous for its paper lanterns. This prompted him to design the lampshades that, for decades, have adorned nearly every student’s bedsit.

In 2015, an abstract painting by Gerhard Richter broke the world record for contemporary art by selling at auction for £30.4m, and the octogenarian is often described as the most important living artist. But I’ve always found the prices fetched by his work baffling and the claims made about him exaggerated, since his paintings leave me cold.

The 31 artists in Mixing it Up all live in this country, but a third of them were born elsewhere – in countries including Belgium, China, Columbia, Germany, Iraq, Zambia and Zimbabwe – and they’ve brought with them immeasurable cultural riches. The exhibition is like a snapshot of pre-Brexit Britain, a reflection of the days before we changed from being a relatively friendly, open society into a grumpy, insular backwater.

When you stand in front of Helen Frankenthaler’s Freefall, 1993, in your mind you drop into its gorgeous, blue abyss. It is enveloping, vertiginous, endless and yet there’s none of the terror of falling into a void, only intense, velvety comfort as the bluest blue melts into emerald green.

It’s been described as “the most improbable story that has ever happened in the art market”, and The Lost Leonardo reveals every twist and turn of this extraordinary tale. In New Orleans in 2005, a badly-damaged painting (pictured below left) sold at auction for $1,175.

Sophie Taeuber-Arp gave her work titles like Movement of Lines, yet there’s nothing dull about her drawings and paintings. In her hands, the simplest compositions sizzle with tension and dance with implied motion. Animated Circles 1934 (main picture), consists of blue, grey and black circles on a white ground. The off-kilter design makes them appear to shuffle, nudge, float or bounce; you feel light-hearted and light-headed just looking at them.