points, lines, and planes.

point: a point marks a position in space, a pair of x and y coordinates; it has no mass at all.

line: a line is an infinite series of points, a line has length, but no breadth; it is the connection of two points in space.

plane: a plane is a flat surface extending in both height and width, a plane is the path of a moving line; it is a line with breadth

we see examples of points, lines and planes all around us, in two dimensions and in three. a point could be a corner where two walls meet the ceiling. grout between a grid of tiles is a line we see. a plane could be the surface of the desk you’re sitting at, or the floor you walk on. below are some examples of the three.

in the middle of this cement sheet is an example of a point. the center-point is an infinitely small point in space. it has no mass, yet it still exists.
the bottom surfaces of these wooden hanging sculptures are examples of planes, not parallel with the floor or the ceiling, but existing on their own.
lines can be found on the edges of the sculpture here, defining points where they meet at vertices.
plane parallel to floor created by bench.
points created from the tips of chess pieces.
several planes occur on the flat surfaces of this sculpture
lines leading towards a vanishing point from radiator
point created by screw
plane from roof on building
several planes created from surfaces of stairs
lines leading to points on a stone block
point in the center of a wooden plane

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