hypersolid love

# hypersolid

## Definitions

### from The Century Dictionary.

• noun A solid of four or more dimensions.

## Etymologies

Sorry, no etymologies found.

## Examples

• A hypersolid, that is, a portion of four-dimensional space, may be separated into two parts by a three-space.

• We may call the hypersolid a double prism, a prism-cylinder, or a double cylinder according as we have two polygons, a polygon and a curve, or two curves.

• At any point in the three-dimensional boundary of the hypersolid we can start and go in three mutually perpendicular directions within this boundary -- in as many directions as we have altogether in our three-dimensional space.

• Sometimes the term hypersphere is used to denote the hypersolid, the portion of four-space inclosed by this locus, which is then called the boundary or hypersurface of the hypersphere.

• We may have to trace curved paths if the boundary of the hypersolid is curved, but the paths start out in three mutually perpendicular directions just as in our space.

• These two ring-shaped figures fit completely, and together form the boundary of a hypersolid, inclosing a portion of four-space.

• The plate passing through the hypersolid could extend indefinitely in its two principal dimensions but the hypersolid would not fall apart.

• When one of the component cylinders has a very small radius in comparison with the other, so that the second has a very sall altitude, one cylinder being like a rope and the other like a wheel,13 the hypersolid is what we have called a doubly circular wheel (page 31).

• A plane cannot separate two parts of a hypersolid any more than a line can separate two parts of a solid in our space.

• Thus a section, cutting a hypersolid into two parts, will be three-dimensional.