If you think that us 3D people will never be able to wrap their heads around 4D, you have to read Charles Hinton's (http://en.wikipedia.org/wiki/Charles_Howard_

If you think that us 3D people will never be able to wrap their heads around 4D, you have to read Charles Hinton's (http://en.wikipedia.org/wiki/Charles_Howard_Hinton http://en.wikipedia.org/wiki/Charles_Howard_Hinton) The Fourth Dimension (https://archive.org/details/fourthdimension00hintarch https://archive.org/details/fourthdimension00hintarch). This is the guy who coined the terms ana and kata (from Greek) for the two additional 4D directions, analogous to up/down, etc. (he also invented a gunpowder baseball pitching machine that, some say, led to his dismissal from Princeton, due to player injuries). Now that's interesting on its own, but his sister-in-law, Alicia Boole Scott (http://en.wikipedia.org/wiki/Alicia_Boole_Stott http://en.wikipedia.org/wiki/Alicia_Boole_Stott) is also amazing. She was the daughter of the famous Boole, and made big contributions to higher dimensional mathematics, especially 4D, e.g. she proved there are exactly six regular polytopes in 4D. She "made beautiful cardboard models" of 3D cross sections of these. This, while she was working as a secretary in Liverpool (sad reality of early women scientists/mathematicians). They don't make them like that anymore! It would be interesting to have documentary on 4D based on these interesting people. EDIT: Also, in catastrophe theory, the Swallowtail catastrophe, which has 3 control and behavioral dimension was named by the French mathematician Bernard Morin (http://en.wikipedia.org/wiki/Bernard_Morin http://en.wikipedia.org/wiki/Bernard_Morin), who is blind since he was 6!