Marks

Some marks and signs are a constant in human consciousness. They have been used since the dawn of time to evoke elusive concepts that run deep into our subconscious, like gods, spirits, eternity, and the universe.

Circles.

With no beginning and no end, the circle is an ancestral sign of God, the Sun, and Eternity. Although geometrically it is a well-defined Euclidean line of points all equidistant to a centre, to calculate its radius or area, the irrational number Pi is needed, introducing the idea of indefiniteness to a definite figure. The circle is also the shape of the wheel, a key feature in all machinery. Thus the circle is a celebration of both technical and spiritual human knowledge.

Infinite lines.

Geometrically, all lines are infinite. Horizontal lines can represent the horizon, but also time, showing the beginning of things and running to eternity. Vertical lines can express movement up or down. Crossed lines can mark a unique place, or a confluence. A perpendicular intersection of two lines becomes a cross, a symbol of god in many religions.

Dot clouds.

The dot is the origin of all signs. Being both infinite and finite, it is ambiguous. As an infinitely small point, it is also marks an infinite dimension. In punctuation, it is the finite point of a sentence, marking the close of a concept. A dot cloud is an undefined number of dots that together form a vague shape, which is used in 3D software to approximate real, three-dimensional complex geometries. Dot clouds given an open definition of what cannot be clearly defined. They capture the essence of everything.

Rounded shapes.

Triangles, squares, hexagons, and rectangles, are all shapes. The triangle is an ancient symbol of the godhead and the Trinity in Christianity. The rounded triangle is a triangle formed by the intersection of three arcs. Known geometrically as the Reuleaux triangle, it is the simplest curve of constant width other than the circle, which means it can rotate between two parallel lines touching its opposite edges. The geometry of rounded triangles was studied by the Swiss mathematician Leonhard Euler at the end of the eighteenth century and applied extensively to machines by the German engineer Franz Reuleaux in the nineteenth century. Its geometry is used in rotors, for instance, such as in pumps and the Wenkel engine. The intersection of four arcs instead forms a rounded rectangle, five arcs a rounded pentagon, six arcs a rounded hexagon, and so on. Rounded shapes are symbols of constant energy.