« Site Map « Shapes of the dimensions « Rotatopes
Number Series Notation: 11
Algebraic Labelling: (1,2)
Formula: |x| = 1, |y| = 1
Perimeter: 4a
Area: a2
Vertices: 4, Edges: 4, Faces: 1
The square intersects linespace as a line. As a square passes through linespace, the line stays the same length.
A square cannot roll when placed on a surface.
Number Series Notation: 2
Algebraic Labelling: (2,2)
Formula: x2 + y2 = 1
Circumference: 2πr
Area: πr2
Like the square, the circle also intersects linespace as a line. But, as the circle passes through linespace, the intersection changes size as it passes through. It starts as a point and grows to a line, then after the circle has passed halfway through linespace, the line shrinks back to a point.
A circle can roll along the space of a line. It can cover every point of a surface in planespace.