﻿164:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los cristales de nieve :@0.132511:0.311736:0.261888:0.311736:0.261888:0.298327:0.132511:0.298327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen simetría hexagonal.:@0.100170:0.325315:0.258586:0.325315:0.258586:0.311906:0.100170:0.311906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Polígonos. Clasificación, :@0.286308:0.063945:0.712284:0.063945:0.712284:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.570739:0.063945:0.579062:0.063945:0.579062:0.027071:0.570739:0.027071:0.000000
elementos y perímetro:@0.286308:0.094120:0.681088:0.094120:0.681088:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Los polígonos son una parte fundamental de la geometría. En la naturaleza se los :@0.287495:0.150303:0.907676:0.150303:0.907676:0.133914:0.287495:0.133914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede encontrar en flores, hojas, cristales de hielo, panales de abejas, entre otros. :@0.287495:0.166899:0.883438:0.166899:0.883438:0.150510:0.287495:0.150510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
También, si miras a tu alrededor encontrarás muchas formas poligonales: edificios, :@0.287495:0.190618:0.907687:0.190618:0.907687:0.174229:0.287495:0.174229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ventanas, señales de tránsito, parques, etc.:@0.287495:0.207215:0.596061:0.207215:0.596061:0.190826:0.287495:0.190826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un polígono es una figura geométrica plana, que está determinada por una suce-:@0.287495:0.230934:0.903658:0.230934:0.903658:0.214545:0.287495:0.214545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sión finita de segmentos de línea recta, que constituyen los lados del polígono. Estos :@0.287495:0.247530:0.907655:0.247530:0.907655:0.231141:0.287495:0.231141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados se interconectan de manera que forman una figura cerrada. Cada vértice :@0.287495:0.264126:0.907729:0.264126:0.907729:0.247737:0.287495:0.247737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un polígono es el punto donde se topan dos de estos lados.:@0.287495:0.280723:0.749653:0.280723:0.749653:0.264334:0.287495:0.264334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clasificación de los polígonos:@0.287495:0.317055:0.585447:0.317055:0.585447:0.295545:0.287495:0.295545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se clasifican según la medida de sus lados  y ángulos  en: polígonos regulares :@0.287495:0.339836:0.907753:0.339836:0.907753:0.323447:0.287495:0.323447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e irregulares.:@0.287495:0.356432:0.380185:0.356432:0.380185:0.340043:0.287495:0.340043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los :@0.296992:0.383828:0.325647:0.383828:0.325647:0.367439:0.296992:0.367439:0.000000:0.000000:0.000000:0.000000
polígonos regulares:@0.329149:0.383828:0.491109:0.383828:0.491109:0.366927:0.329149:0.366927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  son aquellos  en  los  que  todos  sus  lados  y  ángulos :@0.491109:0.383828:0.898179:0.383828:0.898179:0.367439:0.491109:0.367439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen igual medida.:@0.296992:0.400424:0.447675:0.400424:0.447675:0.384035:0.296992:0.384035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los :@0.296992:0.420589:0.325647:0.420589:0.325647:0.404200:0.296992:0.404200:0.000000:0.000000:0.000000:0.000000
polígonos  irregulares:@0.328983:0.420589:0.502062:0.420589:0.502062:0.403688:0.328983:0.403688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  tienen  al  menos  un  lado  o  un  ángulo  de  medida :@0.502062:0.420589:0.898172:0.420589:0.898172:0.404200:0.502062:0.404200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferente al resto.:@0.296992:0.437185:0.422575:0.437185:0.422575:0.420796:0.296992:0.420796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De acuerdo con sus ángulos internos, los polígonos se clasifican en cóncavos :@0.287502:0.463739:0.907740:0.463739:0.907740:0.447350:0.287502:0.447350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y convexos.:@0.287502:0.480335:0.371882:0.480335:0.371882:0.463947:0.287502:0.463947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los polígonos cóncavos son los que tienen al menos uno de sus ángulos internos :@0.287502:0.504054:0.907758:0.504054:0.907758:0.487666:0.287502:0.487666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor o igual a 180°. Los polígonos convexos son polígonos en los que todos sus :@0.287502:0.520651:0.907684:0.520651:0.907684:0.504262:0.287502:0.504262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos internos miden menos de 180°.:@0.287502:0.537247:0.579615:0.537247:0.579615:0.520858:0.287502:0.520858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elementos de un polígono:@0.287495:0.719127:0.515442:0.719127:0.515442:0.700690:0.287495:0.700690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A más de los lados y los vértices, los polígonos tienen otros elementos. Entre :@0.287495:0.742537:0.907770:0.742537:0.907770:0.726148:0.287495:0.726148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los principales están::@0.287495:0.759133:0.438895:0.759133:0.438895:0.742744:0.287495:0.742744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diagonal::@0.287495:0.782852:0.364154:0.782852:0.364154:0.765952:0.287495:0.765952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es el segmento que une dos vértices no consecutivos de un polígono. :@0.364154:0.782852:0.907705:0.782852:0.907705:0.766463:0.364154:0.766463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El número de diagonales de un polígono de n lados se puede calcular mediante :@0.287495:0.799449:0.907604:0.799449:0.907604:0.783060:0.287495:0.783060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la fórmula.:@0.287495:0.816045:0.364081:0.816045:0.364081:0.799656:0.287495:0.799656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.549498:0.834732:0.559734:0.834732:0.559734:0.819858:0.549498:0.819858:0.000000
nn:@0.584577:0.825780:0.609605:0.825780:0.609605:0.810906:0.584577:0.810906:0.000000:0.000000
3:@0.623996:0.825780:0.632171:0.825780:0.632171:0.811535:0.623996:0.811535:0.000000
2:@0.607138:0.845223:0.615313:0.845223:0.615313:0.830978:0.607138:0.830978:0.000000
d:@0.560074:0.836726:0.564603:0.836726:0.564603:0.828731:0.560074:0.828731:0.000000
(:@0.593669:0.827750:0.599805:0.827750:0.599805:0.809063:0.593669:0.809063:0.000000
):@0.632404:0.827750:0.638540:0.827750:0.638540:0.809063:0.632404:0.809063:0.000000
=:@0.570177:0.835348:0.579374:0.835348:0.579374:0.821191:0.570177:0.821191:0.000000
−:@0.611958:0.826396:0.621155:0.826396:0.621155:0.812239:0.611958:0.812239:0.000000
Apotema::@0.287495:0.867851:0.365500:0.867851:0.365500:0.850950:0.287495:0.850950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es el segmento perpendicular a un lado del polígono, trazado desde :@0.365500:0.867851:0.907692:0.867851:0.907692:0.851462:0.365500:0.851462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el centro.:@0.287495:0.884447:0.355014:0.884447:0.355014:0.868058:0.287495:0.868058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Radio::@0.287495:0.904612:0.337692:0.904612:0.337692:0.887711:0.287495:0.887711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es el segmento que une el centro del polígono con cualquiera de sus :@0.337692:0.904612:0.907749:0.904612:0.907749:0.888223:0.337692:0.888223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértices. Solo se encuentra en los polígonos regulares.:@0.287495:0.921208:0.682282:0.921208:0.682282:0.904819:0.287495:0.904819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.074917:0.287108:0.074917:0.282001:0.062836:0.282001:0.062836:0.287108:0.000000
Shutterstock:@0.074917:0.282001:0.074917:0.244283:0.063006:0.244283:0.063006:0.282001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Según sus lados:@0.240693:0.567595:0.356267:0.567595:0.356267:0.552230:0.240693:0.552230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Según sus ángulos:@0.633888:0.567595:0.768443:0.567595:0.768443:0.552230:0.633888:0.552230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Regulares:@0.161990:0.591282:0.233605:0.591282:0.233605:0.575918:0.161990:0.575918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Irregulares:@0.359970:0.591282:0.438302:0.591282:0.438302:0.575918:0.359970:0.575918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncavos:@0.565873:0.591282:0.635078:0.591282:0.635078:0.575918:0.565873:0.575918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Convexos:@0.767053:0.591282:0.836592:0.591282:0.836592:0.575918:0.767053:0.575918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 :@0.147926:0.616074:0.155848:0.616074:0.155848:0.606217:0.147926:0.606217:0.000000:0.000000
cm:@0.155848:0.616074:0.169299:0.616074:0.169299:0.606865:0.155848:0.606865:0.000000:0.000000
4 :@0.130968:0.659809:0.138890:0.659809:0.138890:0.649952:0.130968:0.649952:0.000000:0.000000
cm:@0.138890:0.659809:0.152341:0.659809:0.152341:0.650600:0.138890:0.650600:0.000000:0.000000
4 :@0.189284:0.689422:0.197206:0.689422:0.197206:0.679565:0.189284:0.679565:0.000000:0.000000
cm:@0.197206:0.689422:0.210657:0.689422:0.210657:0.680213:0.197206:0.680213:0.000000:0.000000
4 :@0.247524:0.659809:0.255445:0.659809:0.255445:0.649952:0.247524:0.649952:0.000000:0.000000
cm:@0.255445:0.659809:0.268896:0.659809:0.268896:0.650600:0.255445:0.650600:0.000000:0.000000
4 :@0.233253:0.616074:0.241175:0.616074:0.241175:0.606217:0.233253:0.606217:0.000000:0.000000
cm:@0.241175:0.616074:0.254626:0.616074:0.254626:0.606865:0.241175:0.606865:0.000000:0.000000
1,9 :@0.322176:0.624974:0.337965:0.624974:0.337965:0.615699:0.322176:0.615699:0.000000:0.000000:0.000000:0.000000
cm:@0.337965:0.624974:0.351416:0.624974:0.351416:0.615764:0.337965:0.615764:0.000000:0.000000
2,5 :@0.333912:0.671751:0.349701:0.671751:0.349701:0.662476:0.333912:0.662476:0.000000:0.000000:0.000000:0.000000
cm:@0.349701:0.671751:0.363152:0.671751:0.363152:0.662541:0.349701:0.662541:0.000000:0.000000
1,8 :@0.420550:0.681624:0.436339:0.681624:0.436339:0.672349:0.420550:0.672349:0.000000:0.000000:0.000000:0.000000
cm:@0.436339:0.681624:0.449790:0.681624:0.449790:0.672415:0.436339:0.672415:0.000000:0.000000
2,1 :@0.448129:0.646082:0.463918:0.646082:0.463918:0.636807:0.448129:0.636807:0.000000:0.000000:0.000000:0.000000
cm:@0.463918:0.646082:0.477369:0.646082:0.477369:0.636873:0.463918:0.636873:0.000000:0.000000
2 :@0.399264:0.614346:0.407186:0.614346:0.407186:0.605070:0.399264:0.605070:0.000000:0.000000
cm:@0.407186:0.614346:0.420637:0.614346:0.420637:0.605136:0.407186:0.605136:0.000000:0.000000
Ángulo > a 180º:@0.612945:0.673203:0.686709:0.672433:0.686709:0.662576:0.612945:0.663346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo < 180º:@0.725535:0.683805:0.790771:0.683025:0.790771:0.673252:0.725535:0.674033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo:@0.096735:0.794069:0.127482:0.794069:0.127482:0.785001:0.096735:0.785001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interno:@0.096735:0.802872:0.127350:0.802872:0.127350:0.793805:0.096735:0.793805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo:@0.105519:0.820985:0.136267:0.820985:0.136267:0.811917:0.105519:0.811917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
central:@0.105519:0.829788:0.134317:0.829788:0.134317:0.820721:0.105519:0.820721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Centro:@0.161164:0.828461:0.189489:0.828461:0.189489:0.819393:0.161164:0.819393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Radio:@0.122047:0.850969:0.138955:0.838278:0.130412:0.831866:0.113503:0.844557:0.000000:0.000000:0.000000:0.000000:0.000000
Apotema:@0.157532:0.863037:0.157532:0.833850:0.145450:0.833850:0.145450:0.863037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lado:@0.200859:0.767102:0.215551:0.778128:0.224094:0.771716:0.209403:0.760690:0.000000:0.000000:0.000000:0.000000
Diagonal:@0.185050:0.800089:0.196985:0.827026:0.208449:0.824165:0.196515:0.797228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo:@0.227328:0.855036:0.258075:0.855036:0.258075:0.845969:0.227328:0.845969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
externo:@0.227328:0.863840:0.259843:0.863840:0.259843:0.854772:0.227328:0.854772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vértice:@0.144463:0.749046:0.173463:0.749046:0.173463:0.739978:0.144463:0.739978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El origen etimológico :@0.100784:0.421843:0.247550:0.421843:0.247550:0.406944:0.100784:0.406944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del término ‘polígono’  :@0.099544:0.436931:0.247550:0.436931:0.247550:0.422032:0.099544:0.422032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está en la unión de dos :@0.089342:0.452019:0.247552:0.452019:0.247552:0.437120:0.089342:0.437120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vocablos: :@0.079726:0.467106:0.145714:0.467106:0.145714:0.452207:0.079726:0.452207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
poli:@0.145714:0.467106:0.169418:0.467106:0.169418:0.452232:0.145714:0.452232:0.000000:0.000000:0.000000:0.000000
 = muchos; :@0.169418:0.467106:0.247552:0.467106:0.247552:0.452207:0.169418:0.452207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.125661:0.482194:0.136701:0.482194:0.136701:0.467295:0.125661:0.467295:0.000000:0.000000
gono:@0.136701:0.482194:0.170524:0.482194:0.170524:0.467320:0.136701:0.467320:0.000000:0.000000:0.000000:0.000000
 = ángulos.:@0.170524:0.482194:0.243881:0.482194:0.243881:0.467295:0.170524:0.467295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.100665:0.389401:0.236725:0.389401:0.236725:0.372501:0.100665:0.372501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.18. :@0.290067:0.965521:0.338404:0.965521:0.338404:0.954766:0.290067:0.954766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el área de polígonos regulares por descomposición en triángulos. (Destreza desagregada):@0.338404:0.965521:0.795060:0.965521:0.795060:0.955091:0.338404:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000