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wu :: forums    riddles    medium (Moderators: Eigenray, SMQ, Icarus, Grimbal, ThudnBlunder, william wu, towr)    Cube Through Cube « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Cube Through Cube  (Read 2047 times) ThudnBlunder wu::riddles Moderator Uberpuzzler The dewdrop slides into the shining Sea     Gender: Posts: 4489 Cube Through Cube   « on: Sep 22nd, 2008, 4:26pm » Quote Modify I thought I had posted this before but cannot find it. Anyway, it is worth another airing:   What is the largest cube that can pass through a unit cube? IP Logged THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you. teekyman Full Member     Gender: Posts: 199 Re: Cube Through Cube   « Reply #1 on: Sep 22nd, 2008, 4:38pm » Quote Modify Assuming that I correctly understand what you mean by put a cube "through" another cube, (i'm guessing that this is equivalent to finding the largest square contained in the unit cube), I can manage to fit one of side length 32 / 4 IP Logged ThudnBlunder wu::riddles Moderator Uberpuzzler The dewdrop slides into the shining Sea     Gender: Posts: 4489 Re: Cube Through Cube   « Reply #2 on: Sep 22nd, 2008, 4:49pm » Quote Modify on Sep 22nd, 2008, 4:38pm, 1337b4k4 wrote: Assuming that I correctly understand what you mean by put a cube "through" another cube, (i'm guessing that this is equivalent to finding the largest square contained in the unit cube), I can manage to fit one of side length 32 / 4 Yep, dunno why I put it in Medium.   IP Logged THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you. Barukh Uberpuzzler     Gender: Posts: 2276 Re: Cube Through Cube   « Reply #3 on: Sep 26th, 2008, 5:19am » Quote Modify What's the largest icosahedron that can be inscribed in the unit octahedron?   IP Logged Grimbal wu::riddles Moderator Uberpuzzler     Gender: Posts: 7527 Re: Cube Through Cube   « Reply #4 on: Sep 26th, 2008, 8:46am » Quote Modify In terms of the distance between opposite faces?   IP Logged Barukh Uberpuzzler     Gender: Posts: 2276 Re: Cube Through Cube   « Reply #5 on: Sep 26th, 2008, 8:48am » Quote Modify on Sep 26th, 2008, 8:46am, Grimbal wrote: In terms of the distance between opposite faces?   In terms of the edge size. IP Logged Grimbal wu::riddles Moderator Uberpuzzler     Gender: Posts: 7527 Re: Cube Through Cube   « Reply #6 on: Sep 26th, 2008, 9:10am » Quote Modify According to a small drawing I scribbled on a piece of paper I find: (3-sqrt(5))/sqrt(2) IP Logged Barukh Uberpuzzler     Gender: Posts: 2276 Re: Cube Through Cube   « Reply #7 on: Sep 26th, 2008, 11:33pm » Quote Modify on Sep 26th, 2008, 9:10am, Grimbal wrote: According to a small drawing I scribbled on a piece of paper I find: (3-sqrt(5))/sqrt(2) Correct! What's the configuration? IP Logged Grimbal wu::riddles Moderator Uberpuzzler     Gender: Posts: 7527 Re: Cube Through Cube   « Reply #8 on: Sep 27th, 2008, 4:13am » Quote Modify My penultimate post (#4) was a hint for that.   8 faces of the icosahedron touch "full-face" the 8 faces of the octahedron. IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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