Joachim Tantau, home

Origin

Kinetic sculpture

A large wall sculpture with three slowly turning wheels, built on an ancient geometric figure.

Walnut, brass & gold leaf262 × 474 cmOne of a kind2022
Origin, a kinetic wall sculpture in walnut, brass and gold leaf: three wheels inside a ring, crowned by wings and a gilded moon.

The idea

One figure, three circles.

Origin is built on an ancient geometric figure: three circles and a square, all drawn with compass and ruler. For two thousand years geometers chased a puzzle that the figure comes very close to solving. It is called squaring the circle, which means drawing a square and a circle with exactly the same perimeter. It can never be done perfectly, because π never ends, but this figure comes so close that the difference no longer matters.

The small circle and the inner circle relate as 3 to 11, and so do the Moon and the Earth, accurate to a fraction of a percent. The same figure has been found in the Great Pyramid and in the stones of Stonehenge. Whether that is coincidence is left to the viewer.

Origin takes the figure at its word and builds it to scale: the Earth and the Moon in proportion, at one inch to a hundred miles.

The numbers

Where the measures come from.

Every measure of Origin comes from one of the simplest figures in geometry: a right-angled triangle with sides of 3, 4 and 5. Builders have used it for thousands of years to set out a square corner, and it is the smallest right-angled triangle whose three sides are whole numbers.

Drawn at its most elementary scale, the whole diagram is built from this triangle. At that scale the square has sides of 11 units, so its perimeter is 44. The great circle is 14 units across, and with π taken as 22/7 its circumference is 44 as well. A square and a circle with the same perimeter: the squared circle, drawn with compass and ruler.

A multiplier then turns this elementary diagram into the sculpture. It comes from the same triangle. Add the sides, 3 + 4 + 5, and you get 12. Multiply them, 3 × 4 × 5, and you get 60. Multiply those two results and you get 720.

Now look at the circles. The small one measures 3 units and the inner one 11, so they stand in the ratio 3 to 11, which is the ratio of the Moon to the Earth, accurate to a fraction of a percent. With the multiplier, one unit becomes 720 miles for the Earth and the Moon: the Moon is 3 times 720, 2,160 miles across, and the Earth 11 times 720, 7,920.

The same multiplier gives the dimensions of the sculpture itself, in inches. Divide 720 by a hundred and it becomes 7.2, so the Moon wheel measures 3 times 7.2, or 21.6 inches, the Earth circle 11 times 7.2, or 79.2 inches, and the great circle 14 times 7.2, or 100.8 inches.

Why build all this into one object?

Origin is a working model of how the world works behind the surface. Underneath what can be seen, the order of things comes down to pure number, and the sculpture makes that visible. Learn more about the geometry

The measures: the 3-4-5 triangle and the squared circle.
The diagram: three circles, a square and the lines that connect them.
The same figure, constructed with compass and ruler around the sculpture.
The golden triangle and the approximation of π as 22/7, both found in the figure.
The Earth and the Moon, at one inch to a hundred miles.
1 / 5

The measures: the 3-4-5 triangle and the squared circle.

The movement

Three wheels, turning slowly.

Three wheels turn inside the frame, driven by a stepper motor connected to the mains. The movement is slow and silent, so that the numbers are always in motion.

Made by hand over two years.

Origin was made over two years in Joachim Tantau's studio, using traditional cabinetmaking techniques. The frame and the wheels are European walnut, finished with 22.5 carat champagne gold leaf and brass.

It is a one-off piece. It is delivered in a set of wooden crates and installed personally by Joachim Tantau.

The rim of a wheel with its row of brass pins.
A blade of the frame cutting across the walnut.

Details

The piece

Material
European walnut, 22.5 ct champagne gold leaf, brass
Size
262 × 474 × 30 cm
Weight
60 kg
Movement
Three rotating wheels, driven by a silent stepper motor
Edition
One of a kind
Creator
Joachim Tantau, Hamburg, Germany

Price and purchase

Price
Price on request
Includes
Wooden crates, installation by the artist and an owner's booklet
Viewing
By arrangement, just ask

Installation

Installation
Installed personally by Joachim Tantau
Mounting
The piece needs a sturdy wall. It is screwed to the wall at several mounting points.
Power
230 V mains

Service and warranty

Warranty
Lifetime warranty on the mechanism

Enquire about Origin.

To buy Origin, to see it in the studio in Hamburg, or to ask about a piece for a specific room, write to the studio. Send a photo of your wall and the piece will be shown on it before you decide. Replies come from Joachim Tantau personally.

The centre of Origin, where the brass blades meet.