Comments on: Math Monday: Passing a Cube Through Another Cube http://blog.makezine.com/2012/01/30/math-monday-3/ DIY projects, how-tos, and inspiration from geeks, makers, and hackers Tue, 21 May 2013 09:03:57 +0000 hourly 1 http://wordpress.com/ By: Blair http://blog.makezine.com/2012/01/30/math-monday-3/#comment-332838 Wed, 01 Feb 2012 02:18:24 +0000 http://makezineblog.wordpress.com/?p=173683#comment-332838 It’s talking about passing a cube through a cube, right? While thinking about that concept in your head, you can make one cube transparent hypothetically to pass the other cube through but unfortunately in reality that isn’t quite possible, so you have to make a hole in it to pass it through. Ultimately the idea is that it’s still a cube, but realistically in order to test this, a hole must be cut to pass the other cube through.

]]> By: Miroslava von Schlockbaum http://blog.makezine.com/2012/01/30/math-monday-3/#comment-332664 Tue, 31 Jan 2012 00:38:03 +0000 http://makezineblog.wordpress.com/?p=173683#comment-332664 Somehow the lede got buried here. This is essentially “Prince Rupert’s Cube Paradox” and the paradoxical part is that the cube that can be passed is (slightly) *larger* than the cube with the hole in it. (only about ~6% larger, but hey… it’s worth pointing that out)

cf. http://en.wikipedia.org/wiki/Prince_Rupert%27s_cube

]]> By: Sam Bleckley http://blog.makezine.com/2012/01/30/math-monday-3/#comment-332655 Mon, 30 Jan 2012 22:51:11 +0000 http://makezineblog.wordpress.com/?p=173683#comment-332655 Sorry, I lie. The way I did it makes two pyramids and an odd doughnut, but I’m not positive I found the best way to pack the cube in.

]]> By: Sam Bleckley http://blog.makezine.com/2012/01/30/math-monday-3/#comment-332654 Mon, 30 Jan 2012 22:47:52 +0000 http://makezineblog.wordpress.com/?p=173683#comment-332654 I’m pretty sure a hypercube exactly cuts itself; the largest cross-section of a unit hypercube is an octahedron (sqrt(2) on a side) and the smallest cross section is a unit cube. A hole that would fit the cube into the octahedron would slice the octahedron into 6 pyramids.

]]> By: Demostración visual de la paradoja del cubo de Ruperto - Gaussianos | Gaussianos http://blog.makezine.com/2012/01/30/math-monday-3/#comment-332649 Mon, 30 Jan 2012 22:21:34 +0000 http://makezineblog.wordpress.com/?p=173683#comment-332649 [...] pues ahora el gran George Hart nos trae, a través de Math Monday, una especie de maqueta para realizar la comprobación de este paradoja de la intuición, pero [...]

]]> By: John Bramfeld http://blog.makezine.com/2012/01/30/math-monday-3/#comment-332644 Mon, 30 Jan 2012 21:35:14 +0000 http://makezineblog.wordpress.com/?p=173683#comment-332644 The ratio between a cube and the maximum size of the cube that can fit through it would be an interesting number.

]]> By: gerd http://blog.makezine.com/2012/01/30/math-monday-3/#comment-332640 Mon, 30 Jan 2012 21:24:08 +0000 http://makezineblog.wordpress.com/?p=173683#comment-332640 Nice….
i find you should colour the one cube different to the other parts of the second cube.

]]> By: doctroid http://blog.makezine.com/2012/01/30/math-monday-3/#comment-332634 Mon, 30 Jan 2012 20:27:00 +0000 http://makezineblog.wordpress.com/?p=173683#comment-332634 Can you pass a hypercube through an equal size hypercube?

]]> By: yaya http://blog.makezine.com/2012/01/30/math-monday-3/#comment-332632 Mon, 30 Jan 2012 20:24:46 +0000 http://makezineblog.wordpress.com/?p=173683#comment-332632 Doesn’t the cube with a hole in it cease to be a cube once you cut the hole in it?

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