Geometry Question

n=1, 2, 3, 4, 8 How do we define geometries n-dimensional objects? 2. Euclidean geometry would be a case of two-dimensional geometry which we may call plane geometry. Alternative ways of conceptualizing plane geometry – Hilbert Geometry as applied to plane – Vector geometry – Transformational geometry. – Complex geometry as alternative representations of Euclidean geometry (algebra with pairs) Dynamic understanding of multiplication and addition as transformation. (negative numbers and their multiplication as rotation). 3. Geometry of four-dimensional objects: Quarternions https://www.youtube.com/watch?v=zjMuIxRvygQ&list=RDCMUCYO_jab_esuFRV4b17AJtAw&index=2 4. How is it possible to define a geometry on fractional dimensions? -A reading on fractal dimension is attached. 5. Prepare one page reflection on the attached article on teaching geometry what can you say about 1-dimensional geometry? (https://en.wikipedia.org/wiki/One-dimensional_space) https://www.youtube.com/watch?v=g-csmdpq39A https://www.youtube.com/watch?v=js9nIgHA5FU what can you say about 1-dimensional geometry? (https://en.wikipedia.org/wiki/One-dimensional_space)