Geometry Challenge

"Rusty Vandura - www.tinyurl.com/keepoppo" (rustyvandura) 02/07/2016 at 20:05 • Filed to: None

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Slice a cube in such a way as to create a regular hexagon in cross section (six congruent sides, six congruent angles).

Viewed at this angle, don’t the halves look like more than half?

shop-teacher > Rusty Vandura - www.tinyurl.com/keepoppo 02/07/2016 at 20:08

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That’s kinda cool. I may throw that at some of my classes.

bob and john > Rusty Vandura - www.tinyurl.com/keepoppo 02/07/2016 at 20:12

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no one said that it had to be halves. just sliced to make a regul;ar hexagon in the cross-section

dogisbadob > Rusty Vandura - www.tinyurl.com/keepoppo 02/07/2016 at 20:12

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Is it 1/3 the way down and 45-degree angles?

TylerLinner > dogisbadob 02/07/2016 at 20:14

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Looks like half way across each edge.

Rusty Vandura - www.tinyurl.com/keepoppo > bob and john 02/07/2016 at 20:28

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But they are halves...

dogisbadob > TylerLinner 02/07/2016 at 20:28

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Yup, you’re right. I don’t know why it looked like 1/3 when I looked at it before. oops

Rusty Vandura - www.tinyurl.com/keepoppo > dogisbadob 02/07/2016 at 20:30

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The actual cut makes a zig-zag between the midpoints of six of the edges.

Rusty Vandura - www.tinyurl.com/keepoppo > shop-teacher 02/07/2016 at 20:31

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Thanks. I’m going to do some more work with this, including firing up the GoPro and making a time-lapse video of me making one of those with the frames captured every three seconds.

Rusty Vandura - www.tinyurl.com/keepoppo > shop-teacher 02/07/2016 at 20:33

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The Priority Mail boxes are nice to work with because the material is very consistent.

Rusty Vandura - www.tinyurl.com/keepoppo > dogisbadob 02/07/2016 at 20:34

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It’s good. You still get an A, because you thought about it.

TylerLinner > dogisbadob 02/07/2016 at 20:37

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It messes with your mind, maaaaan

bob and john > Rusty Vandura - www.tinyurl.com/keepoppo 02/07/2016 at 20:39

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probably the perspective is fucking with you. also, the one on the right is SLIGHTLY closer then the one on the left

Rusty Vandura - www.tinyurl.com/keepoppo > bob and john 02/07/2016 at 20:42

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The distince is actually very similar if you look at the vertex, or the corner on top. The one on the right is rotated 30 degrees. It is good to think on things like this... Ponder them in your heart.

1111111111111111111111 > Rusty Vandura - www.tinyurl.com/keepoppo 02/07/2016 at 20:44

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Have you watched any of the Vi Hart videos? She does cool math videos.

shop-teacher > Rusty Vandura - www.tinyurl.com/keepoppo 02/07/2016 at 21:49

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Cool!

Rusty Vandura - www.tinyurl.com/keepoppo > 1111111111111111111111 02/07/2016 at 21:55

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Possibly. I’ll take a look.

1111111111111111111111 > Rusty Vandura - www.tinyurl.com/keepoppo 02/07/2016 at 23:53

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I make all kinds of hexaflexagons thanks to her.