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Everything about Superformula
Equation in polar coordinates
The superformula is a generalization of the superellipse and was proposed by Johan Gielis in 2003. Gielis suggested that the formula can be used to describe many complex shapes and curves that are found in nature. Gielis has filed a patent application related to the synthesis of patterns generated by the superformula, which expired effective 2020-05-10. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: SuperformulaA 5-minute orientation
- Skim a recent paper: Synthesis of new antenna arrays with arbitrary geometries based on the superformulaInfluential work since 2022
- Pick up a classic book: Musical currents from the left coastThe most-reprinted book on the subject
- Read the landmark paper: A superformula for neutrinoless double beta decay II: the short range partCited 124 times
- Go sideways: SuperquadricsA closely related topic
- Go sideways: DirectivityA closely related topic
📖 Definitions
Noun A generalization of the superellipse that can be used to describe many complex shapes and curves found in nature.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A superformula for neutrinoless double beta decay II: the short range part
Towards a superformula for neutrinoless double beta decay
Design of Planar Dual-Bandstop FSS Using Square-Loop-Enclosing Superformula Curves
Gielis’ superformula and regular polygons
Design of X‐band Moreno cross‐guide coupler based on superformula curves
Novel Framework for Artificial Bubble Image Generation and Boundary Detection Using Superformula Regression and Computer Vision Techniques
A compact superformula based ultra‐wideband antenna shape with two notched bands
Design of miniaturized patch crossover based on superformula slot shapes
🆕 Influential since 2022
Synthesis of new antenna arrays with arbitrary geometries based on the superformula
The Superformula and Model Quantum Systems as Tools for Learning
Lens Antenna Design Tool Based on Generalized Superformula
A 3-D-Printed Lightweight Low-Cost UWB Antenna Designed by Dimension-Expanded Superformula
Tulip tree leaf-shaped microstrip MIMO antenna utilizing the superformula
📚 Books worth reading
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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