# Erica Minuz

Math and didactic adjunct lecturer

University College Copenhagen

Copenhagen

My research interests lie in interpreting abstract mathematical concepts in visual language. Mathematical structures generate my narrations and visual storytelling. I have been working in the field of algebraic topology as a mathematician and studied art and illustration.

Twice upon a time there was a king

4:56

2021

”Twice upon a time there was a king…”

The narrator tells a distorted fairy tale that seems absurd, but that is actually built on a mathematical structure. The king realizes that he has a double and his power falls apart, like a playing card castle. He then asks help from a magician (or a mathematician?). In order to solve the situation, the magician puts a spell on the kingdom (takes the quotient space) identifying every point with its reflection in the mirror. Now the king is one, but the kingdom has no more orientation: there’s no left nor right. ”What kind of kingdom is that?” the people ask themselves. The narrator will then show some examples of spaces where right and left do not make sense: Moebius Bands, Klein Bottles and Projective Spaces. These are examples of non-orientable spaces.

What will happen to the king? What does it mean to be twice? And if the king was once two, why not three, four, five, or infinite?

The narrator tells a distorted fairy tale that seems absurd, but that is actually built on a mathematical structure. The king realizes that he has a double and his power falls apart, like a playing card castle. He then asks help from a magician (or a mathematician?). In order to solve the situation, the magician puts a spell on the kingdom (takes the quotient space) identifying every point with its reflection in the mirror. Now the king is one, but the kingdom has no more orientation: there’s no left nor right. ”What kind of kingdom is that?” the people ask themselves. The narrator will then show some examples of spaces where right and left do not make sense: Moebius Bands, Klein Bottles and Projective Spaces. These are examples of non-orientable spaces.

What will happen to the king? What does it mean to be twice? And if the king was once two, why not three, four, five, or infinite?