Figures
We divide all possible math figures into two collections.
The first collection contains
straight lines, rays and line segments, regular n-gons with n > 2,
circles, parabolas, orthogonal hyperbolas,
catenaries = alysoids = chainettes, tetrahedrons, cubes and spheres.
The second collection contains non regular n-gons with n > 2, as
(random) triangles, rectangles, lozenges and further
ellipses, spatial ellipsoids, blocks, prisms, pyramids, cones and
many other figures.
Can you discover according to what property the figures have been divided?
The solution: scroll down.
The first set contains for example
all the straight lines are uniform,
all circles being uniform, all spheres as well.
All regular 6-angles are uniform, . . .
In general the second collection fails the uniformity property.