Movement Timing and Invariance Arise from Several Geometries
Figure 10
The score for all the coefficient combinations for equation 13.
The values of all the possible constant coefficients for the equation:
. A point within a triangle describes the values of
,
and
where
. The values of
equal the area delineated by the small triangle created by passing lines between this specific point and the two bottom vertices, where the area of the large triangle is equal to 1. The values of
are equal to the area delineated by the small triangle created by passing lines between this specific point to the left bottom and top vertices. The values of
are equal to the area delineated by the small triangle created by passing lines between the point to the right bottom and top vertices. For example, at a point on the edge of the triangle marked by
. For a point located on the top vertex
and
. In the center of the triangle
. The color of a point represents the value of the
score for the corresponding combination of the
values; the darker the color, the higher the value of the
scores. The red points are those with the highest
score. This value is given in red beside each triangle. Panel (A) contain the data of the locomotion of oblate limaçon. Panel (B) contain the data of the drawing of oblate limaçon. Panel (C) contain the data of the locomotion of asymmetric lemniscate. Panel (D) contain the data of the drawing of asymmetric lemniscate.