Mathematics: All Classes: Friday 14.10.05

[charlieeppes.livejournal.com]

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!

Comments

Roster

[charlieeppes.livejournal.com]

Sign in here, please.

Re: Roster

[kawalsky.livejournal.com]

*signs in, as himself today because Vala isn't in this class, and therefore he doesn't need to hide behind his superhero facade*

Re: Roster

[mycanonhatesme]

*signs the roster*

Re: Roster

[12parseckessel.livejournal.com]

*signs roster*

Re: Roster

[cantgetnorelief.livejournal.com]

*signs in*

*steals Kawalsky's pen on the way*

Re: Roster

[lisacuddy.livejournal.com]

Lisa signs in.

Re: Class Assignment

[swerval_zero]

*signs in*

Re: Roster

[notstakedyet.livejournal.com]

*signs in*

Re: Roster

[miss-thomasina.livejournal.com]

Thomasina signs in and takes the same seat she took last class.

Re: Roster

[http://users.livejournal.com/_gottahavefaith/]

Faith signs in.

Re: Roster

[http://users.livejournal.com/___lily_evans_/]

*signs in*

Re: Roster

[neptune-wallace.livejournal.com]

signs in

Re: Roster

[actingltcrumpet.livejournal.com]

Archie signs in and takes a seat.

Re: Roster

[likeguidelines.livejournal.com]

Barbossa signed in.

Re: Roster

[threeweapons.livejournal.com]

Alanna signs in.

Re: Roster

[dorky-broots.livejournal.com]

I'm here. I'm Broots. And I'm here.

Re: Roster

[2ls-in-oneill.livejournal.com]

*Signs in*

Class Assignment

[charlieeppes.livejournal.com]

Participate in class here.

Re: Class Assignment

[mycanonhatesme]

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.

Re: Class Assignment

[12parseckessel.livejournal.com]

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.

Re: Class Assignment

[cantgetnorelief.livejournal.com]

*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?

Re: Class Assignment

[lisacuddy.livejournal.com]

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

Re: Class Assignment

[sogothcally.livejournal.com]

::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.

Talk to Charlie

[charlieeppes.livejournal.com]

Charlie is looking amusingly smug today.

[actingltcrumpet.livejournal.com]

Archie coughs. "I have no idea what non-Hamiltonian polyhedra are, but evidently there are 74 of them with the minimum number of vertices."