The mathematician Hannah Fry reveals the hidden numbers, rules and patterns that secretly control our daily lives, in this year’s Royal Institution Christmas lectures. She tells Kirsty Wark how maths and algorithms have the power to reveal the truth - and to obscure it.

The economist Tim Harford is in search of the truth as he unravels the events that led to real life disasters. In the podcast series Cautionary Tales, Harford asks what we can learn from catastrophes. He wonders why we are so often susceptible to cons.

Science has revolutionised the way we live, and in the field of technology the ingenious invention of blockchain has been heralded as truly radical. As an incorruptible digital ledger of transactions, blockchain has uses far beyond crypto-currencies. The Financial Times journalist Izabella Kaminska looks back over the last decade to consider whether blockchain has lived up to its hype.

The latest science promising to transform medicine and biology is nanotechnology. Sonia Contera is a pioneer in the field and believes studying the infinitesimal realm of proteins and DNA will have a profound impact on our health and longevity.

Producer: Katy Hickman