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Struggling with some 4D stuff here again - what does a 4D sphere look like in 3D? A sphere that grows and shrinks over its time duration/dimension? A cigar?
And what would the 4d equivalent of a flat disc like a coin be?
And what would the 4d equivalent of a flat disc like a coin be?
From: (Anonymous)
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Flatland: A Romance Of Many Dimensions (http://www.amazon.co.uk/exec/obidos/ASIN/048627263X/ref=sr_aps_books_1_1/202-2604020-1175044), by Edwin Abbot. The Dover edition is disgustingly cheap over here. Anyhow, if you've not come across this: it's a Victorian social satire based in a 2D world with 3D "creatures" passing through it, and thus a great way of envisualising 3D/4D interaction. Definitely worth the price.