.png){kind=icon}
.png){kind=icon}
Return
CANTOR-TYPE SETS IN HYPERBOLIC NUMBERS
.png){kind=icon}
PRE
AI
DOI：10.1142/S0218348X16500511.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
The construction of the ternary Cantor set is generalized into the context of hyperbolic numbers. The partial order structure of hyperbolic numbers is revealed and the notion of hyperbolic interval is defined. This allows us to define a general framework of the fractal geometry on the hyperbolic plane. Three types of the hyperbolic analogues of the real Cantor set are identified. The complementary nature of the real Cantor dust and the real Sierpinski carpet on the hyperbolic plane are outlined. The relevance of these findings in the context of modern physics are briefly discussed.
Keywords:
Hyperbolic Numbers
Cantor Set
Sierpinski Carpet
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
F
IF:
2.9
Papers:
2.8K
Citations:
5.6K