I need urgent help for my project on tessellating polygons tomorrow. I was supposed to write a one page conclusion on "which polygons tessellate the plane on their own and which do not? explain why." As I already knew about regular polygons, I only need about irregular polygons.. Thanx so much for your help, pls hurry!!!
2006-11-04 23:18:17 · 2 answers · asked by shooting_star 2 in Science & Mathematics ➔ Mathematics
This will happen for only two irregular pentagons in general:
All triangles as the angle sum of the three angles is a straight angle so the the angles so placed will always make straight lines ... and thus tessellate
All quadrilaterals as the angle sum of the four angles is a straight angle so the the angles so placed will make a complete revolution ... and thus tessellate
Other particular polygons MAY tessellate BUT no more general cases will occur
2006-11-05 02:41:21 · answer #1 · answered by penta 2 · 0⤊ 0⤋
Look at these websites, they might help:
http://www.bwctc.northants.sch.uk/html/master/maths/spr00/tess01.htm
http://www.saskschools.ca/curr_content/mathcatch/geometry/geometry_b/tessellations/index.html
2006-11-05 08:24:44 · answer #2 · answered by z_o_r_r_o 6 · 0⤊ 0⤋