Liminal space, by definition, refers to a transitional or in-between space that is neither here nor there. It is a space that exists in the threshold between two places or states, and is often associated with ambiguity, uncertainty, and transformation. This concept of liminality can be found in various fields, such as anthropology, psychology, and art. In my opinion, liminal space can be visualized as a mathematical extension of the concept of three-dimensional space into four-dimensional space.

To understand this analogy, we first need to explore the concept of four-dimensional space. In mathematics, four-dimensional space is an abstract space that extends the concept of three-dimensional space by adding an additional dimension. While three-dimensional space has length, width, and height, four-dimensional space adds another dimension of time. This fourth dimension is known as temporal dimension, and it allows us to visualize objects and events as they change over time.

Similarly, liminal space can be seen as an extension of three-dimensional space, where the fourth dimension represents the transitional and ambiguous nature of the space. In other words, liminal space exists in the threshold between two different states or spaces, and the fourth dimension represents the process of transformation that occurs within this space. For example, a doorway can be seen as a liminal space, as it exists between two different rooms or environments. The fourth dimension in this case represents the act of moving from one room to another, and the transformation that occurs during this movement.

The idea of liminal space as a four-dimensional extension of three-dimensional space can also be applied to art and literature. Many works of art and literature explore the concept of liminality, using it as a way to express themes of transformation, uncertainty, and ambiguity. For example, in the novel “The Metamorphosis” by Franz Kafka, the protagonist Gregor Samsa transforms into a giant insect, representing a liminal state between human and animal. The fourth dimension in this case represents the process of transformation, as Gregor undergoes a physical and psychological change.

Similarly, in the artwork of M.C. Escher, we see a representation of four-dimensional space in his famous “Ascending and Descending” lithograph. The artwork depicts a staircase that seems to lead both up and down at the same time, creating a sense of ambiguity and uncertainty. The fourth dimension in this case represents the perspective of time, as the viewer is able to see the staircase from different angles and moments in time.

In conclusion, I believe that liminal space can be visualized as a mathematical extension of three-dimensional space into four-dimensional space. The fourth dimension in this case represents the process of transformation, uncertainty, and ambiguity that occurs within the liminal space. This analogy helps us to understand the complex nature of liminal space, and how it can be used to express themes of transformation and change in various fields of art and literature.