Dataset1/Its a Permutation
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< Dataset1
Session 2 - Team 1
284 rweis, 20:48 : so lets get to it 285 meets, 20:48 : okay 286 meets, 20:48 : so.. 287 meets, 20:48 : without goign backwards right? 288 rweis, 20:49 : yes 289 meets, 20:49 : okay 290 meets, 20:49 : thats one 291 meets, 20:50 : plus the reflection where line AB is the reflectign line 292 meets, 20:50 : imma make the line AB a different color 293 rweis, 20:50 : It is not efficient to just sit there and count 294 meets, 20:50 : true 295 meets, 20:50 : well... 296 meets, 20:51 : we can try to find a patterN? 297 rweis, 20:51 : so do u have a formula 298 rweis, 20:51 : yes 299 meets, 20:51 : not distances 300 rweis, 20:51 : ok 301 meets, 20:51 : im not good at this stuff sorry 302 rweis, 20:51 : Nether am I 303 meets, 20:52 : i have an organized way of counting 304 meets, 20:52 : but that's not going ot get anywhre FAST 305 rweis, 20:52 : ok 306 meets, 20:52 : oh wait nevermind 307 meets, 20:52 : darn it 308 rweis, 20:52 : ok 309 meets, 20:52 : actually 310 meets, 20:52 : i do have anorganized way 311 meets, 20:52 : ignore the top half 312 rweis, 20:53 : great lets see it!!! 313 meets, 20:53 : cuz we're going to x2 our results on the bottom half 314 rweis, 20:53 : yes we will 315 meets, 20:53 : k so i drew the first line right? 316 rweis, 20:53 : right 317 meets, 20:53 : then, we can have 5 more paths of the same pattern 318 rweis, 20:53 : ok 319 meets, 20:53 : etc. 320 meets, 20:53 : and then... 321 meets, 20:54 : oh 322 rweis, 20:54 : what 323 meets, 20:54 : i have an algebraic way to od this 324 meets, 20:54 : i just thought of it right now 325 meets, 20:54 : each "step" 326 rweis, 20:54 : YAAAAY algebra 327 meets, 20:54 : has a max of 3 places to travel 328* meets, 20:54 : this is like a permutation 329 rweis, 20:55 : Were are just going over this in class 330 meets, 20:55 : lol 331 rweis, 20:55 : lol 332 meets, 20:55 : lemme delete these lines 333 rweis, 20:55 : ok 334 meets, 20:55 : okay 335 meets, 20:55 : so... 336 meets, 20:55 : lemme use green 337 rweis, 20:56 : ole 338 meets, 20:56 : there are 3 possibilites for the first step 339 rweis, 20:56 : yes 340 meets, 20:56 : now... 341 meets, 20:56 : i dunt really know how to do this 342 meets, 20:56 : but 343 meets, 20:56 : we either have 3 ways 344 meets, 20:56 : over here... 345 meets, 20:57 : or just 2 346 rweis, 20:57 : then there are three more ways to do that 347 rweis, 20:57 : no there are just there 348 meets, 20:57 : we can sorta branch it off 349 rweis, 20:57 : three 350 rweis, 20:57 : yup 351 meets, 20:57 : no 352 meets, 20:57 : because 353 meets, 20:57 : if you go UP 354 meets, 20:57 : then there's only 2 ways 355 meets, 20:57 : i think we can branch this off 356 meets, 20:58 : go to the rig ht of the grid 357 meets, 20:58 : under the questions 358 meets, 20:58 : we can both branch off together 359 meets, 20:58 : starting from 360 rweis, 20:58 : ok 361 meets, 20:58 : 3 represents 362 meets, 20:59 : 3 ways for the first move 363 meets, 20:59 : oh... this is gonna get really messy 364 rweis, 20:59 : right 365 meets, 20:59 : maybe not actually 366 rweis, 20:59 : it is it is @: Message 363: To whole message 367 meets, 20:59 : :-/ 368 meets, 20:59 : hmm.. 369 meets, 20:59 : got any other ideas? 370 rweis, 21:00 : nope 371 meets, 21:00 : im eating dinner soon 372 meets, 21:00 : when does this end? 373 rweis, 21:00 : right now
Session 3 – Team 1
122 Moderator_A, 20:12 : Today, we will share some questions and observations from other mathematicians
who have been looking at the questions and solutions you have been inventing and pursuing.
123 rweis, 20:12 : ok
124 Sheenav, 20:34 : 'kay
125 #1MATHWHIZ, 20:12 : k
126 mathman, 20:12 : k
127 mathpudding, 20:13 : k
128 Moderator_A, 20:13 : During the first two sessions of this program the groups have at times explored
a math where points only exist at the intersections of a grid (this one is 12 lines by 12 lines),
evenly spaced one unit apart as in the image on the whiteboard. There are no "diagonal" lines,
at least not in the way we usually think of them.
129 Rweisbac, 20:13 : so
130 Moderator_A, 20:13 : Distance between any two points in this grid world is defined as the length of the shortest path
along the grid lines connecting the points. Several groups showed there may be several shortest paths,
but the distance is well-defined. This is a system of math that you are inventing,
just as the Greeks invented geometry.
131 Moderator_A, 20:14 : Did anyone think of any other questions after the last session?
132* rweis, 20:13 : ITS A PERMUTATION!!!
133 Sheenav, 20:36 : it's what?
134 rweis, 20:14 : A permutation I'll explain later
135 Sheenav, 20:36 : okay
136 rweis, 20:14 : good
137 Moderator_A, 20:15 : Here are some questions that come up when looking at your work.
You don't need to pay any attention to these if you don't want to.
Again, your goal is to identify or invent new math questions that are interesting to you and pursue them.
