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ERIC Number: EJ862219
Record Type: Journal
Publication Date: 2009-Mar
Pages: 5
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0746-8342
Eighty-Eight Thousand, Four Hundred and Eighteen (More) Ways to Fill Space
Norton, Anderson
College Mathematics Journal, v40 n2 p108-112 Mar 2009
After Peano gave an arithmetic construction, Hilbert developed a geometric construction for space-filling curves. This paper describes the key idea of Hilbert's construction, here called "the nested-squares criterion," implicit in Hilbert's writing but, once explicated, generalizes to a whole class of space-filling curves that correspond to a special class of rook's walks enumerated by Mobius 150 years ago!
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A