Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 2, 183–362
Issue 1, 1–182

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Author Index
Coming Soon
Other MSP Journals
This article is available for purchase or by subscription. See below.
Bounds on the Hausdorff measure of level-$N$ Sierpinski gaskets

Andrea Arauza Rivera and Edwin Lin

Vol. 15 (2022), No. 3, 379–391

Although a favorite of fractal geometers, the Hausdorff measure of many classical fractals is often difficult to calculate or even bound. We review some important definitions and results from fractal geometry and define the fractal known as the level-N Sierpinski gasket. By generalizing a previous technique used for the classical Sierpinski gasket, the main result of this work obtains an upper bound for the Hausdorff measure of the level-N Sierpinski gasket.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at
or by using our contact form.

Or, you may purchase this single article for USD 30.00:

fractal, fractals, Hausdorff measure, Sierpinski gasket, Hausdorff dimension
Mathematical Subject Classification
Primary: 11K55, 28A78, 28A80, 37F35
Received: 28 July 2020
Revised: 9 August 2021
Accepted: 2 January 2022
Published: 2 December 2022

Communicated by Kenneth S. Berenhaut
Andrea Arauza Rivera
Department of Mathematics
California State University, East Bay
Hayward, CA
United States
Edwin Lin
Department of Mathematics
University of California
Riverside, CA
United States