Math Is Fun Forum

Why does an infinite pyramid have a top (pointy top), but has no base that one can imagine?
The base is really big, and bigger than that, but don't forget , fully grown.
I like the fully grown idea.
It's interesting that we can imagine more than one infinite set, co-existing.
Good thing they are fully grown, or one infinite set would get in the way of the other one.
For example, the real numbers between 1 and 2, and the real 3-D coordinates between (1.5 +/- 0.5, 1.5 +/- 0.5, 1.5 +/- 0.5), which is a cube with sides equal to length 1 and all the points inside it.
Neat how you can have an infinite set that is a subset of another infinite set.
However, the different infinities are all the same size: just infinity.
Pretty neat, huh?

1000 / (196 pi)

I got fourteen wrong!!!!

I get a kick out of this topic.  It is really funny!!
My current opinion is if infinity exists in our minds, then it's value is multi-faceted.
MIF says it's fully grown.  Maybe both are true.
I guess I'm not very logical on this subject, but I tend to side with the opinion that
infinity is more special than a single dinky thing, that's why I like to let it take on different
values.  Not a value like a constant, but a huge value that is hard to describe and is not
always the same, perhaps changing by whim.   
I guess I could be persuaded that it is simply not a number because it is larger than numbers.
Then I would say it doesn't exist, even in our minds.
So what we are talking about is infact a recursive definition of getting larger and larger and doing
this until it is fully grown, says MIF.  I wonder why he said that.  Anyway.  Maybe we can only grasp the definition
of infinity, but cannot grasp infinity itself?
Disregard this entire discussion as it is just silliness...

If you place a 2x4 lego on a table, then note that it is the same if you turn it 180 degrees (half a turn).
So hence if you build up and out forward, it is the same as building up and out backward.
Hence up and out forward on the right side is the same as up and out backward or the left side.
And so forth...  Hence this is how the pairs are counted. 
However, I don't understand all of the LONER symmetrics yet.   One I can think of is just crisscrossing the 2x4's to make plus signs.
Good luck!

Let's see, brackets.  I'll try something with brackets.
Click here for video.
That didn't work, I don't know why.
Try this one, click here.
Sorry, I don't know why my video won't work, it's gone.

Tihs rdnimes me of a six aebahplt cdoe I jsut cmae up wtih.
In my cdoe, you use a dnereffit aebahplt dnidnepeg wrehe you are in the wrod.

Mikau, did you make all the holes about the same size for your test?
Sounds interesting.
What was the diameter of the holes, out of interest?

Cool story, fgarb!!!  I never heard of that double backwards method; it is beautiful!!

Thanks Ricky, I really enjoyed the hour presentation.  It was really inspiring to see such creativity coming about in the video game world.  The speaker/creator was really fun to listen to.    I wish I was so brilliant!  Do you know what company he works for, I didn't catch that part?