Fractal tetrahedra: What's left in, what's left out, and how to build one in four dimensions

Frame, Michael; Neger, Nial

doi:10.1016/j.cag.2007.12.001

Computers & Graphics

2008

DOI: 10.1016/j.cag.2007.12.001

|View full text |Cite

Fractal tetrahedra: What's left in, what's left out, and how to build one in four dimensions

Michael Frame

Nial Neger

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2012

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

Pascal's Prism

Brothers¹

2012

Math Gaz

View full text Add to dashboard Cite

Pascal's triangle is well known for its numerous connections to probability theory [1], combinatorics, Euclidean geometry, fractal geometry, and many number sequences including the Fibonacci series [2,3,4]. It also has a deep connection to the base of natural logarithms, e [5]. This link to e can be used as a springboard for generating a family of related triangles that together create a rich combinatoric object.2. From Pascal to LeibnizIn Brothers [5], the author shows that the growth of Pascal's triangle is related to the limit definition of e.Specifically, we define the sequence sn; as follows [6]:

show abstract

Pascal's Prism

Brothers¹

2012

Math Gaz

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Fractal tetrahedra: What's left in, what's left out, and how to build one in four dimensions

Cited by 1 publication

References 1 publication

Pascal's Prism

Pascal's Prism

Contact Info

Product

Resources

About