Here's Mr Gregg, lying down in Descartes' house, looking at the ceiling:
You could have a three dimensional space in GeoGebra too. Like this. The three dimensions are shown by the three different-coloured lines:
We talked about shapes in different dimensions, different versions of the square in different dimensions:
|lines, squares, a cube|
This image shows how we can start at a no-dimensional point, and grow into bigger-number dimensions:
A lot of people wanted to go into four dimensions! This is tricky as we live in a three dimensional world!
Here is one picture of the tesseract, the 4D cube:
Here are some of our journals (2D version!):
We're getting good at writing what we're learning!
And more great questions!
Orla asked what a -1D shape would look like.
Rhea asked what a 0.5D shape would look like.
Beatriz wanted to know what a 10,000D shape would be like!