There was once a boy named Donald who owned the finest football in the neighbourhood. It wasn't just any football. It gleamed in the sunshine, its white panels almost too bright to look at, and the black pentagons were still crisp and clean. It smelled of new leather, bounced perfectly, and made a satisfying thump every time it met a foot. Every afternoon, when school was over and homework had been forgotten for just a little while, Donald would walk proudly to the green at the end of the street with the ball tucked tightly under his arm. The other boys would spot him from their gardens or bedroom windows. "Donald's got the ball!" Within minutes they would come running. John Doe arrived first, as he usually did. Then Ben Dover raced over still wearing his school jumper. Soon there were eight or nine boys standing together, laughing, joking and eager to play. Yet, without Donald's ball there could be no match. And Donald knew it. "Right," he said, placing...
Plants That Can Count: The Surprising Mathematics of the Botanical World At first glance, plants appear passive and unchanging. Rooted in place, they lack brains, nerves, and the organs typically associated with intelligence. Yet over the past several decades, research has revealed that plants are capable of surprisingly sophisticated behaviours. They can detect light, gravity, moisture, chemicals, touch, and even the presence of neighbouring plants. Among their most remarkable abilities is something that seems almost impossible: some plants can count. Of course, plants do not solve arithmetic problems or understand numbers as humans do. Instead, they possess biological mechanisms that enable them to keep track of repeated events, quantities, and time. These natural counting systems help them survive in environments where precise decisions can mean the difference between life and death. Counting the Hours Until Dawn Perhaps the best-known example comes from the small flowering pla...