Johan Gielis (mathematician)

Johan Gielis (born July 8, 1962) is a Belgian engineer, scientist, mathematician, and entrepreneur.

Gielis is known for his contributions to the field of mathematics, specifically in the area of modeling and geometrical methods.

He is best known for developing the concept of the superformula, which is a generalization of the traditional Pythagorean theorem and the equation of the circle, that can generate a wide variety of complex shapes found in nature.

Gielis obtained a degree in horticultural engineering.

Later, he changed direction from botany and plant biotechnology to geometry and mathematics.

Gielis proposed the superformula in 2003.

The superfomula is a generalization of the superellipse.

He suggested that it allows for the creation of shapes that can mimic natural forms such as flowers, shells, and other intricate structures.

The mathematical equation combines elements of trigonometry and algebra to generate complex and visually appealing patterns.

It also allowed for a generalization of minimal surfaces based on a more general notion of the energy functional and allowed for a generalized definition of the Laplacian, and the use of Fourier projection methods to solve boundary value problems.

Gielis patented the synthesis of patterns generated by the superformula.

The superformula was used in No Man's Sky, an action-adventure survival game developed and published by Hello Games.

The formula was also used in the Jewels of the Sea.

In 2013, Gielis co founded the Antenna Company, in Eindhoven.

The company applies the superfomula to develop efficient antennas to transmit data via various frequencies.

The company made antenna system for ultra-fast WiFi 6 devices.

Antenna systems focus on 2-7 gigaHertz, in line with the IEEE 802.11ax standard and beyond.

Other products focus on Internet of Things and mmWave antenna systems.