Generalization of 3D Mandelbrot and Julia sets

DOI10.1631/JZUS.2007.A0134zbMath1114.37025WikidataQ123025944 ScholiaQ123025944MaRDI QIDQ886403

Jin Cheng, Jianrong Tan

Publication date: 27 June 2007

Published in: Journal of Zhejiang University. Science A (Search for Journal in Brave)

zbMATH Keywords

Julia setMandelbrot setfractalternary algebraquad algebraray-casting

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (6)

CALCULATING JULIA FRACTAL SETS IN ANY EMBEDDING DIMENSION ⋮ ON THE ALGEBRAIC FOUNDATION OF THE MANDELBULB ⋮ Imaginary scators quadratic mapping in 1+2D dynamic space ⋮ Control and synchronization of Mandelbrot sets in coupled map lattice ⋮ GENERATION OF 3D JULIA SETS FROM SWITCHING POLYNOMIAL MAPS ⋮ ITERATION OF QUADRATIC MAPS ON MATRIX ALGEBRAS

Cites Work

• Generalization of the Mandelbrot set: quaternionic quadratic maps
• A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS
• ITERATION OF QUATERNION MAPS
• On a Generalized Fatou-Julia Theorem
• ON A BICOMPLEX DISTANCE ESTIMATION FOR THE TETRABROT
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalization of 3D Mandelbrot and Julia sets