Description file, Raw data, Excel file, SPSS data file.

`Title: Bowl`

`Source: Borg and Groenen (2005)`

`Description: Data generated on the surface of a bowl. The points lie`

`on the surface of a 2D manifold that is a quadratic function of the`

`coordinates in the ground plane. The coordinates are for row i are`

`given by:`

`x_i = .5*sqrt(v_i)*cos(2*pi*u_i)`

`y_i = .5*sqrt(v_i)*sin(2*pi*u_i)`

`z_i = v_i-.5`

`for uniformly distributed v_i and u_i between zero and one.`

Description file, Raw data, Excel file, SPSS data file.

`Title: Swiss Roll`

`Source: Borg and Groenen (2005)`

`Description: Data generated on the surface of a Swiss roll. The points`

`lie on the surface of a 2D plane that is rolled. The coordinates are `

`for row i are given by:`

`x_i = .5*sin(4*pi*v_i)`

`y_i = u_i-.5`

`z_i = .5*v_i*cos(4*pi*v_i)`

`for uniformly distributed v_i and u_i between zero and one.`