triangulations
we will continue drawing triangulations, and also will be counting triangles, edges and vertices there. We'll do a table, and then try to find some relations between these numbers:
V-E+T=1
This is called Euler characteristic...
triangular and square numbers
we will continue playing with triangular and square numbers
0, 1, 3, 6, 10, 15, 21, ...
0, 1, 4, 9, 16, 25, ...
folding paper, drawing lines.
if you fold a sheet of paper once, the crease creates two parts. If you fold it twice, the creases partition the sheet into four pieces. How many parts you will get if you fold it three times? fours times?
if you draw a straight line on a sheet of paper, it creates two parts. Two lines give you fours parts. Three lines? Four lines?
SET
for experiments
we will do paper plane competition.
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