The sheep problem

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ysn613

104 posts

ysn613

#1 h Mar 26, 2025, 3:49 PM

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a) If I have three sheep, how can I arrange them so that they are all an equal distance away from each other?
b)If I have four sheep, how can I do the same thing as I wanted to do in part a)?

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iwastedmyusername

50 posts

iwastedmyusername

#2 h Mar 26, 2025, 4:04 PM

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with 3 sheep, you can arrange them in an equilateral triangle
with 4 sheep, you can arrange them in a regular tetrahedron

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ysn613

104 posts

ysn613

#3 h Mar 26, 2025, 4:09 PM

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Good job! I stumped my whole school math class with this one!

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MaxTheMaster

28 posts

MaxTheMaster

#4 h Mar 26, 2025, 4:47 PM

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how do you arrange them in a tetrahedron

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aboredbean

1 post

aboredbean

#5 h Mar 26, 2025, 5:02 PM • 1 Y

Y by mathlover3141

floating sheep its that simple

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aidan0626

1795 posts

aidan0626

#6 h Mar 26, 2025, 5:08 PM • 1 Y

Y by mathlover3141

"assume that sheep are unmoving points" ahh moment

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ChickensEatGrass

39 posts

ChickensEatGrass

#7 h Mar 26, 2025, 5:11 PM • 2 Y

Y by mathlover3141, jkim0656

wingardium LEVIOSA

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xHypotenuse

748 posts

xHypotenuse

#8 h Mar 26, 2025, 5:22 PM

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How about 5 sheeps?

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ChickensEatGrass

39 posts

ChickensEatGrass

#9 h Mar 26, 2025, 5:28 PM

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xHypotenuse wrote:

How about 5 sheeps?

impossible I think

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programjames1

3032 posts

programjames1

#10 h Mar 26, 2025, 5:35 PM

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You can space out any number of sheep an equal distance away by waiting $n$ seconds and then placing the $n$ th sheep a little over ten miles down the road. By special relativity, the distance between all sheep is zero.

This post has been edited 2 times. Last edited by programjames1, Mar 26, 2025, 5:36 PM

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Soupboy0

222 posts

Soupboy0

#12 h Mar 26, 2025, 9:49 PM

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ChickensEatGrass wrote:

xHypotenuse wrote:

How about 5 sheeps?

impossible I think

go in 4d

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vmene

109 posts

vmene

#13 h Mar 26, 2025, 9:58 PM

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aidan0626 wrote:

"assume that sheep are unmoving points" ahh moment

No this is a "assume cows are spherical" ahh moment

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xHypotenuse

748 posts

xHypotenuse

#14 h Mar 26, 2025, 10:01 PM

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ChickensEatGrass wrote:

xHypotenuse wrote:

How about 5 sheeps?

impossible I think

Maybe you need 4D

For 6 sheeps maybe it's 5D

lol

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WiseHawkCuteFriendly

557 posts

WiseHawkCuteFriendly

#15 h Mar 27, 2025, 1:44 AM

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xHypotenuse wrote:

How about 5 sheeps?

just do a pentagon and be boring

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Aaronjudgeisgoat

856 posts

Aaronjudgeisgoat

#16 h Mar 27, 2025, 1:47 AM

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WiseHawkCuteFriendly wrote:

xHypotenuse wrote:

How about 5 sheeps?

just do a pentagon and be boring

in my humble opinion, i do not believe that $1=\frac{1+\sqrt5}{2}$

This post has been edited 1 time. Last edited by Aaronjudgeisgoat, Mar 27, 2025, 1:47 AM

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ChaitraliKA

997 posts

ChaitraliKA

#36 h Mar 28, 2025, 12:12 AM

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Guys please don't let this thread get locked
I can't risk losing any more posts, this is important to me!!!!! :pray:

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nmlikesmath

461 posts

nmlikesmath

#38 h Mar 28, 2025, 12:41 AM

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"the crops have been destroyed" ahh moment

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jkim0656

403 posts

jkim0656

#41 h Mar 28, 2025, 12:49 AM

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vmene wrote:

aidan0626 wrote:

"assume that sheep are unmoving points" ahh moment

No this is a "assume cows are spherical" ahh moment

i had a math class and they assumed an elephant was a sphere a person was a cylinder and a car was a cube :rotfl:

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happyfish0922

232 posts

happyfish0922

#43 h Mar 28, 2025, 1:15 AM

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I think this can be done with non-Euclidean geometry easily for the 4-sheeps case, but as far as I know, the 5 sheeps case would require something like a continuous 4D manifold onto 3D (of the specific shape needed).

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Aaronjudgeisgoat

856 posts

Aaronjudgeisgoat

#44 h Mar 28, 2025, 1:17 AM

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happyfish0922 wrote:

I think this can be done with non-Euclidean geometry easily for the 4-sheeps case, but as far as I know, the 5 sheeps case would require something like a continuous 4D manifold onto 3D (of the specific shape needed).

for the 4 sheep case, i believe that a regular tetrahedron works, which i think falls under the euclidean geometry category?

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happyfish0922

232 posts

happyfish0922

#45 h Mar 28, 2025, 1:20 AM

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Aaronjudgeisgoat wrote:

happyfish0922 wrote:

I think this can be done with non-Euclidean geometry easily for the 4-sheeps case, but as far as I know, the 5 sheeps case would require something like a continuous 4D manifold onto 3D (of the specific shape needed).

for the 4 sheep case, i believe that a regular tetrahedron works, which i think falls under the euclidean geometry category?

That is true, but I was referring to spherical geometry, which I believe allows a tetrahedron, anywho, that isn't a 2D Euclidean, though it is a 3D.

BTW I don't think Euclid ever did much related to 3D.

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Inaaya

204 posts

Inaaya

#46 h Mar 28, 2025, 1:20 AM

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ChaitraliKA wrote:

Guys use vsepr theory :thumbup:

london dispersion forces ahh

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happyfish0922

232 posts

happyfish0922

#47 h Mar 28, 2025, 1:24 AM

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Inaaya wrote:

ChaitraliKA wrote:

Guys use vsepr theory :thumbup:

london dispersion forces ahh

I don't want to go too off topic, but I'm pretty sure that in practice, VSEPR theory only applies to local particles, sooooo yeah. Your 4 sheep iteration will fall apart in about 5 milliseconds.

This post has been edited 1 time. Last edited by happyfish0922, Mar 28, 2025, 1:24 AM

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Aaronjudgeisgoat

856 posts

Aaronjudgeisgoat

#48 h Mar 28, 2025, 1:26 AM

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Inaaya wrote:

ChaitraliKA wrote:

Guys use vsepr theory :thumbup:

london dispersion forces ahh

erm actually vsepr theory is valence shell electron pair repulsion theory, which refers to molecular geometry while london dispersion forces refers to intermolecular forces so they arent the same :nerd:

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Inaaya

204 posts

Inaaya

#53 h Mar 28, 2025, 2:16 AM

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Aaronjudgeisgoat wrote:

Inaaya wrote:

ChaitraliKA wrote:

Guys use vsepr theory :thumbup:

london dispersion forces ahh

erm actually vsepr theory is valence shell electron pair repulsion theory, which refers to molecular geometry while london dispersion forces refers to intermolecular forces so they arent the same :nerd:

Click to reveal hidden text

um actually the four vsepr structures are linear, trianglular, tetrahedral, octahedral, or *googles frantically* a ...trigonal bypyramid

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happyfish0922

232 posts

happyfish0922

#54 h Mar 28, 2025, 2:19 AM

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Inaaya wrote:

Aaronjudgeisgoat wrote:

Inaaya wrote:

london dispersion forces ahh

erm actually vsepr theory is valence shell electron pair repulsion theory, which refers to molecular geometry while london dispersion forces refers to intermolecular forces so they arent the same :nerd:

Click to reveal hidden text

um actually the four vsepr structures are linear, trianglular, tetrahedral, octahedral, or *googles frantically* a ...trigonal bypyramid

Can we please get over VESPR theory since by now we all know that the structure, though potentially possibly being formed, will collapse pretty much spontaneously.

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Aaronjudgeisgoat

856 posts

Aaronjudgeisgoat

#55 h Mar 28, 2025, 2:21 AM

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Inaaya wrote:

um actually the four vsepr structures are linear, trianglular, tetrahedral, octahedral, or *googles frantically* a ...trigonal bypyramid

um actually there is also seesaw, t-shaped, and *thinks frantically* a... trigonal pyramidal
and also trigonal planar and other things too

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rhydon516

541 posts

rhydon516

#56 h Mar 28, 2025, 4:25 AM

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jkim0656 wrote:

they will all die from the phenomenon of magically being squished together in the exact same spot

this is only true for $n>24$ . the laws of entity cramming dictates otherwise for $n\le24$ , unless you have access to a server backdoor.

@2below it’s a joke; besides, i really don’t think this discussion was very serious anyway

This post has been edited 2 times. Last edited by rhydon516, Mar 28, 2025, 5:53 PM

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happyfish0922

232 posts

happyfish0922

#57 h Mar 28, 2025, 4:35 AM

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VESPR theory aside, can we all agree that we just take a manifold of 4D and shove a 4d tetra into the manifold, JUST FOR THE FUNSIES?

:thumbup:

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happyfish0922

232 posts

happyfish0922

#58 h Mar 28, 2025, 4:39 AM

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rhydon516 wrote:

jkim0656 wrote:

they will all die from the phenomenon of magically being squished together in the exact same spot

this is only true for $n>24$ . the laws of entity cramming dictates otherwise for $n\le24$ , unless you have access to a server backdoor.

Okay sorry for the double post, but I just say this, and OKAY buddy, not to be mean or anything but sorry, this is a real-world situation, please please please do not think this is Minecraft. I get it, Minecraft's fun, I play it myself, but this is HSO... oh shoot its MSM common sense isn't at the top, anyways be logical, just please don't go off topic like that.

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