fandomhigh | Mathematics: All Classes: Friday 14.10.05

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Mathematics: All Classes: Friday 14.10.05

Today I was thinking you could all have a look at this page and tell me what it says about the number you picked last time. If you cannot find your number, just pick something else that looks interesting. I expect the Advanced class will be able to to tell me themselves why the numbers they picked are special without any assisstance.

Beginner: Fun with Numbers
1. Wallace Fennel

neptune_wallace
2. Barbossa

likeguidelines - 7 - 7 is the smallest number of faces of a regular polygon that is not constructible by straightedge and compass.
3. Chloe Sullivan

chloe_sullivan - Chloe - 23 - 23 is the smallest number of integer-sided boxes that tile a box so that no two boxes share a common length.
4. Joan Girardi

joan_not_jane
5. Faith Lehane

_gottahavefaith - 69 - 69 has the property that n2 and n3 together contain each digit once.
6. Maia Rutledge

maias_notebook - Maia - 3, 7 -- 3 is the number of spatial dimensions we live in. 7 - 7 is the smallest number of faces of a regular polygon that is not constructible by straightedge and compass.
7. 6

_notanumber

Mediate: Fun with Math
1. Zero Hopeless-Savage

swerval_zero - 42 - 42 is the 5th Catalan number.
2. Samuel T. Anders

futurebucs_star - 3 is the number of spatial dimensions we live in.
3. Angelus

notsouledyet - 1860 -- n/a - Vampire Numbers
4. Lily Evans

___lily_evans_ 7 - 7 is the smallest number of faces of a regular polygon that is not constructible by straightedge and compass.
5. Cally

sogothcally - 33, 34, 35 - 33 is the largest number that is not a sum of distinct triangular numbers.
34 is the smallest number with the property that it and its neighbors have the same number of divisors.
35 is the number of hexominoes.
6. Alanna of Trebond

threeweapons - 18 - 18 is the only number that is twice the sum of its digits.
7. Kimberly Shaw

kimberly_shaw
8. Han Solo

12parseckessel Han - 5 - 5 is the number of Platonic solids.
9. Jack O'Neill

2ls_in_oneill - 4 - 4 is the smallest number of colors sufficient to color all planar maps.
10. Charlie Kawalsky

kawalsky - 4 - 4 is the smallest number of colors sufficient to color all planar maps.

Advanced: Practical Application of Math
1. Archie Kennedy

actingltcrumpet - 74 - 74 is the number of different non-Hamiltonian polyhedra with minimum number of vertices.
2. Lisa Cuddy

lisacuddy - the Hardy-Ramanujan number - I remember once going to see him when he was lying ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."
3. Kitty Pryde

phases_of_kitty - e - e represents Euler's number, a transcendental number (approximately equal to 2.71828182846) which is used as the base for natural logarithms
4. Thomasina Coverly

miss_thomasina - i represents:
▪ the imaginary unit, a complex number that is the square root of -1
▪ a subscript to denote the ith term (that is, a general term) in a sequence or list
▪ the index to the elements of a vector, written as a subscript after the vector name
▪ the index to the rows of a matrix, written as the first subscript after the matrix name
▪ an index of summation using the sigma notation
5. Broots

dorky_broots - e - e represents Euler's number, a transcendental number (approximately equal to 2.71828182846) which is used as the base for natural logarithms

ooc: Hand much better! Yay!

Flat | Top-Level Comments Only

Participate in class here.

Um. *glances at the list* Wow, 23 is such an interesting number. *laughs* It's the smallest number of integer-sided boxes that tile a box so that no two boxes share a common length. That's...okay, I have no idea what that means.

"4 is the smallest number of colors sufficient to color all planar maps."

I dunno what a planar map is. At least we can feel dumb together. Do you know what a planar map is?

Charlie looks up from his doodling. "Planar maps are embeddings of topological maps into the plane. A planar map subdivides the plane into vertices, edges, and faces. The vertices, edges, and faces of a subdivision are the embeddings of their topological map counterparts into the plane, such that (1) each vertex is embedded as a planar point, (2) each edge is embedded as a bounded x-monotone curve, and does not contain vertices in its interior, and (3) each face is a maximal connected region of the plane that does not contain edges and vertices in its interior," he says.

~~fear my google skillz...~~

Kawalsky thinks for a moment. "Okay." He understood about half of what the Prof said. That was close enough.

~~Your Google skillz are da bomb!~~

Re: Class Assignment

mycanonhatesme - 2005-10-14 15:48 (UTC) - Expand

Re: Class Assignment

charlieeppes.livejournal.com - 2005-10-14 18:52 (UTC) - Expand

Re: Class Assignment

2ls-in-oneill.livejournal.com - 2005-10-15 08:26 (UTC) - Expand

Five is the number of Platonic (he pronounces it "plat Oh neek") solids. In other words, dice.

You got your basic triangle which makes a four sided die.
Squares turn into cube dice.
Eight triangles make a different kind of die.
If you use pentagons, it's a dodecahedron. (Found that cool word doing my reading for class)
And more triangles, a bunch, make a 20 sided die.

And any one of those can lose you money faster than you can imagine. For street games, the 20 is the best because people are fascinated by it. The 8 puts them off, and everyone uses sixers. Besides, there's more ways for the mark to lose with a 20.

Charlie looks amused at the last part of the reply.

[OOC: "the 20 is the best because people are fascinated by it." I have a hematite d20 as a necklace pendant, and yes, people are indeed fascinated by it. Yay d20s! *g*]

*sputters*

Um . . . there's three sides on a Pyramid court, but you don't want to know that, do you?

*thinks, while looking around for small stealable things*

We, uh, live in 3-D?

Charlie tilts his head, considering Anders reply. "I don't know. What is Pyramid? Besides something Egyptians made?"

Normally this would be where Anders's face lights up in a way that makes everyone regret asking him what Pyramid is. Today, however, he's too preoccupied playing with the pen he nicked from Kawalsky's desk. This doesn't stop him from babbling on about it, though.

"It's a sport," he says, "played on a triangular court with a goal at the top of the arena and neutral zones in the other two corners. You can play with up to five people on each time. The best way I can describe it is as sort of a combination between your Earth basketball and American football, and maybe a little bit of hockey, since you're allowed to tackle players and knock them around the court unless they're in the neutral corners."

[OOC: I very much want to see the conversation when Charlie says something along these lines to Daniel Jackson. *g*]

1729 is the third Carmichael number, and a Zeisel number. It is a centered cube number, as well as 12-gonal, 24-gonal and 84-gonal number.

Because in base 10 the number 1729 is divisible by the sum of its digits, it is a Harshad number. It also has this property in octal and hexadecimal, but not in binary.

1729 has another interesting property: the 1729th decimal place is the beginning of the first occurrence of all ten digits consecutively in the decimal representation of the transcendental number e.

1729 is also one of three numbers (the other two are 81 and 1458) which, when its digits are added together, produces a sum which, when multiplied by its reversed self, yields the original number:

1 + 7 + 2 + 9 = 19
19 · 91 = 1729

Charlie looks delighted and scribbles something mysterious on a piece of paper.

::scratches her forehead::

Okay, so... 33 has something to do with triangle numbers. It's also the number of moving parts in your standard Viper Mark 2 fuel injection system, which is kinda more interesting, if you ask me.

Okay, so forty-two is the fifth Catalan number, meaning it's part of an integer sequence used in tree enumeration problems.

Huh, fancy that. I just thought it sounded cool.

Angelus is somewhat disappointed to see that his own number isn't on the list. His interest perks, however, to discover vampire numbers. This may or may not make him look at Charlie with more than passing interest. He could just be thinking about how he'd like a fresh cup of coffee. Hard to tell.

Lily sits by Angel and looks at the list.

"7 is the smallest number of faces of a regular polygon that is not constructible by straightedge and compass? What does that even mean?"

"I'm not sure," Angelus admitted. He pulled out a fresh piece of paper and tried to sketch out the polygon in question, trying to see if it could be done in a manner that imitated using the tools in question. He gave Lily a grin. "Strangely enough, I've never attempted this before. Can't imagine why."

[ooc: Running an errand, back in a bit]

Faith stares at the list blanky. "Something about the letter n. Or something."

ooc: That's what I got out of it as well. *cough*

Barbossa stared at his answer in frustration. "Seven be the smallest number o' faces of a reg'lar polygon that be not constructible by straightedge 'n compass."

He pulled out a piece of paper, a straight-ish edge, and his navigational compass. "This be makin' no sense at all. Why would ye be needin' a compass t'do math?"

He looked over at Faith. "Wait. Yer answer has somethin' to do with letters? This is goin' t'be hard."

Faith nods. "I know! I thought this was supposed to be the easy class."

Sorry I missed class Wednesday. Eight is my favorite number, and that list says "8 is the largest cube in the Fibonacci sequence".

That's fine. *waves hand* Apology accepted.

Flat | Top-Level Comments Only

Mathematics: All Classes: Friday 14.10.05

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