http___livro-ensino-medio.f1cf.com.br_matematica_hr_mathematics-153.html_1.xml
2.1 2.2 2.3 2.4 2.5 3.1 4.1 5.1 5.2 5.3 6.1 7.1 7.2 8.1 9.1 10.1 11.1 12.1 13.1 13.2 14.1 15.1
Cover a flat surface with polygonal parts is one of the oldest activities undertaken by man. Kepler was the first to study the plan tessellations using regular polygons. In their studies, noted that regular polygons perfectly identical pave a plan only if its interior angles are a divisor of 360. Tessellations formed only by tiles of the same shape are called tessellations monoédricas or pure. Within the flooring monoédricas, we have the so-called regular tessellations - those in which the tile is a regular polygon. Do you know what are the regular polygons which tile? And how many are there? The flooring formed using more than one type of regular polygons are called Archimedean tessellations-or micro-regular and yet "molecule Archimedes' whose vertices are all paving of the same type. Therefore, they are described according to the type of vertex. This means that there flooring semi-regular composed of the same type of polygons which are not identical ACTIVITY If we join the centers of the hexagons, we find that we obtain a regular triangular paving and the opposite is also true, ie, if we join the centers of the triangles, we obtain a regular hexagonal paving. Thus, each of tessellations is said to be dual to each other, since the dual flooring that is obtained by joining the centers of paving tiles. Discover these molecules! Suppose n, p and q is the number of sides of each of the different polygons, as shown below. If n = 5, p = 6 and q = 8, can be represented by a name consisting of integers 5, 6 and 8. Does this figure is a "molecule Archimedes?" You can finish completing the table? Is it possible to know how many tessellations semi-regular there? What type of flooring are the following figures? Pavements as these are called periodic once the plan that covers repeating the same pattern. The beauty of form
2.1 2.2 2.3 2.4 2.5 3.1 3.2 4.1 4.2 4.3 5.1 6.1 6.2 7.1 8.1 8.2 9.1 10.1 11.1 11.2 12.1 13.1
Priključite se i ravnu površinu s polignonalnom dijelovima je jedan od najstarijih aktivnosti poduzetih od strane čovjeka. Kepler je bio prvi na studij Plana tessellations pomoću redovite poligona. U svojim studijama, istaknuo je kako redovito poligoni posve identične utrti plan samo ako njezini unutarnji kutovi djelitelj od 360. Tessellations formirane samo pločice iste oblika nazivaju tessellations monoédricas ili čista. Unutar podnice monoédricas, imamo takozvane redovite tessellations - one u kojima crijep je redovito poligona. Znate li što su redovite poligona koji crijep? A koliko ih ima? Podnice formirana korištenjem više od jedne vrste pravilnih poligona nazivaju Arhimedov tessellations-ni mikro-redovito , a ipak "molekule Arhimed 'ciji su vrhovi su sve asfaltiranje iste vrste. Dakle, oni su opisane prema vrsti tjeme. To znači da postoji podnice polu-redovito sastoji od iste vrste poligona koji nisu identični AKTIVNOST Ako uđemo centri šesterokute, ustanovljeno je da smo dobili redovite trokutasti asfaltiranje i obratno, tj. ako uđemo centri trokuta, dobivamo redovito šesterokutna popločavanje. Dakle, svaki od tessellations je rekao da se dvojno međusobno, jer dual podnice koje dobivaju ulaskom u centre za popločavanje pločice. Otkrijte ove molekule! Vjerojatno n, p i q je broj strane svakog od različitih poligona, kao što je prikazano u nastavku. Ako je n = 5, p = 6 i q = 8, može se prikazati na ime se sastoji od cijelih brojeva 5, 6 i 8. Da li je ta brojka "molekule Arhimed?" Možete završiti završetka stol? Je li moguće znati koliko je tessellations polu-redovito tamo? Koja vrsta podova su sljedeće brojke? Nogostupi što se nazivaju povremene jednom planu koji pokriva ponavlja isti obrazac. Ljepota oblika