Dissection of One Quadrilateral to Another

a

2.1

α

1.3

b

2.3

c

0.45

d

0.4

e

0.35

f

0.9

quadrilateral

1

2

translate to quad element

0

rotate to quadrilateral

0

show parts

show quad strips

1

2

show diagonal

first quad

second quad

This Demonstration shows a quadrilateral-to-quadrilateral dissection. Each quadrilateral is dissected to its quad elements, which lie in a strip. The two strips intersect in a parallelogram and determine the parts of the dissection. The parameter

a

is the length of a side of the parallelogram,

α

is the angle at basis, and

b

determines the length of the other side. The initial stage of the dissection corresponds to both the "translate" and "rotate" sliders being set to 1.