Martin Sleziak's room

« first day (1140 days earlier) ← previous day next day → last day (2302 days later) »

4:03 PM

in Discussion on answer by Dr. Richard Klitzing: Should MO perhaps give numerological abductive questions a little more benefit of the doubt, 1 min ago, by Todd Trimble

@MartinSleziak Hi Martin. This is not actually a reply to your message, rather an appeal for help. You may have explained to me before how to quote (or import, whatever the correct verb is) a large chunk of text into a chat room. In any case, I'd like to quote the entirety of Richard's meta post, as it has two votes to delete but may be useful for participants here. Thanks.

in Discussion on answer by Dr. Richard Klitzing: Should MO perhaps give numerological abductive questions a little more benefit of the doubt, 8 secs ago, by Martin Sleziak

@ToddTrimble I doubt that there is easy way to do this. But since this seems to be related more to "how to do something to chat" rather than to this specific discussion, maybe we could continue this elsewhere if you agree.

Of course you could copy the message in chunks, each of them below the maximal possible length of chat message - I mean like this:

> Here now comes online too the answer I recently gave to David offline already. It shows, that even so his here once more recited question surely looks rather numerological, it rather has a quite mathematical kernel!

> well, as it is still on hold, there is no way to answer it online.

> And for adding a comment there, I have not enough MO-reputations so far.

> But your rewording of your question is rather obvious! An 8D simplex aka enneazetton has

> 9 vertices

> 36 edges

This is very cumbersome and I assume this is exactly what you want to avoid.

Is it really necessary to have the answer available directly in the chatroom?

Would maybe pastebin (or some version of pastebin that supports MarkDown) be an option?

Or saving current status of the post in the wayback machine?

I am not aware of a way how to import the whole post at once (and I doubt there is something like that - since the limit for chat message is much smaller than the limit for post on the site).

FWIW, since you mentioned that there are some deleted votes, I have saved locally both the source of this answer. (It is basically plaintext - the only use of MarkDown there is to mark the blockquote.)

And I have also saved the current version of the post from StackPrinter: stackprinter.com/… (The advantage of SP is that all comments are expanded - which is not the case if you simple save the page as displayed on MO.)

@ToddTrimble If you come here plese ping me so that I notice that. (I will be at my computer for some time but I will be otherwise occupied, so maybe I will not check on this chatroom that often.)

In any case, I have wrote what I am able to think of. I am sorry that I was unable to provide some better suggestion.

Maybe advice from here would make this easier?

A: Best way to copy and paste code into a post

Paste the code into the text area then highlight the code and click on the Code Sample {} button. See How do I format my code blocks?

Let us try that.

well, as it is still on hold, there is no way to answer it online.
And for adding a comment there, I have not enough MO-reputations so far.

But your rewording of your question is rather obvious!
An 8D simplex aka enneazetton has
9 vertices
36 edges
84 triangles
126 tetrahedra
126 pentachora
84 hexatera
36 heptapeta
9 octaexa
for boundary elements. These numbers show up symmetrically because the enneazetton is selfdual, just as any regular simplex.

Further you mentions the dissection of the vertex set of the Gosset polytope 4_21 according to 240 = 84+72+84. This is based on the fact that 4_21 can be described as the convex hull of 2 mutually inverted copies of a birectified enneazetton (each 84 vertices) and one expanded enneazetton (72 vertices).

Your question about the occurance of 84 in both these statements is indeed closely related.
Reconsider the eneazetton x3o3o3o3o3o3o3o. The rectified enneazetton o3x3o3o3o3o3o3o therefrom is derived (up to some global scaling) as the convex hull of the center of the edges of the simple eneaz…

That is, because of 84 is the number of triangles of the eneazetton, thus the birectified eneazetton would have 84 vertices. And because of the birectified eneazetton is vertex inscribable into the Gosset figure 4_21, that very number reoccurs there too.

That’s it.

I am not sure whether something like this makes it more readable. The only difference is that I clicked "fixed font" after each message. But that button was not available if message was on single line.

One more test
of fixed font

Similar test

in two separate messages

Martin Sleziak

4:39 PM

well, as it is still on hold, there is no way to answer it online.

And for adding a comment there, I have not enough MO-reputations so far.

But your rewording of your question is rather obvious!
An 8D simplex aka enneazetton has
9 vertices
36 edges
84 triangles
126 tetrahedra
126 pentachora
84 hexatera
36 heptapeta
9 octaexa
for boundary elements. These numbers show up symmetrically because the enneazetton is selfdual, just as any regular simplex.

Further you mentions the dissection of the vertex set of the Gosset polytope 4_21 according to 240 = 84+72+84. This is based on the fact that 4_21 can be described as the convex hull of 2 mutually inverted copies of a birectified enneazetton (each 84 vertices) and one expanded enneazetton (72 vertices).

Your question about the occurance of 84 in both these statements is indeed closely related.

Reconsider the eneazetton x3o3o3o3o3o3o3o. The rectified enneazetton o3x3o3o3o3o3o3o therefrom is derived (up to some global scaling) as the convex hull of the center of the edges of the simple eneazetton.
Likewise the birectified enneazetton o3o3x3o3o3o3o3o can be derived from the simple eneazetton (up to scaling) as the convex hull of the centers of its triangular faces. In fact, this series not only goes on in right this manner wrt. this special polytope, it rather is valid for all convex regular polytopes!

That is, because of 84 is the number of triangles of the eneazetton, thus the birectified eneazetton would have 84 vertices. And because of the birectified eneazetton is vertex inscribable into the Gosset figure 4_21, that very number reoccurs there too.

That’s it.

What happens if I put the whole text in a single message? Do I get error that the message is too long?

well, as it is still on hold, there is no way to answer it online.
And for adding a comment there, I have not enough MO-reputations so far.

But your rewording of your question is rather obvious!
An 8D simplex aka enneazetton has
9 vertices
36 edges
84 triangles
126 tetrahedra
126 pentachora
84 hexatera
36 heptapeta
9 octaexa
for boundary elements. These numbers show up symmetrically because the enneazetton is selfdual, just as any regular simplex.

Further you mentions the dissection of the vertex set of the Gosset polytope 4_21 according to 240 = 84+72+84. This is based on the fact that 4…

@ToddTrimble Maybe my last message is what you wanted...?

I simply copied the whole text here and then clicked on "fixed font" and "send".

well, as it is still on hold, there is no way to answer it online.
And for adding a comment there, I have not enough MO-reputations so far.

But your rewording of your question is rather obvious!
An 8D simplex aka enneazetton has
9 vertices
36 edges
84 triangles
126 tetrahedra
126 pentachora
84 hexatera
36 heptapeta
9 octaexa
for boundary elements. These numbers show up symmetrically because the enneazetton is selfdual, just as any regular simplex.

Further you mentions the dissection of the vertex set of the Gosset polytope 4_21 according to 240 = 84+72+84. This is based on the fact that 4…

And this is the same without fixed font.

I am surprised that this worked, I thought that if I post it as a single message I get "message is too long" error.

Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long? Is this message too long?

If I add one more "Is this message too long?" I am already shown error saying that it is too long and I cannot press send.

Now what if I post this in multiple lines?

Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?

Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?
Is this message too long? Is this message too long?

Well, I can post much longer text this way. I suppose this is most likely documented somewhere, but I do not have time to search now.

What is the maximum length of a chat room message?

A: What is the maximum length of a chat room message?

The limit of a normal single line message in chat is 500 characters. If you enter an explicit line-break (ctrl+enter on a Windows machine) you can lift this limit of 500 characters. but in the transcript you'll still see only 500 characters. Users would have to click the See full text link ...