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A beautiful figure made of 9999...999^n

Ryohei Miyadera
Organization: Kwansei Gakuin High School
Department: Mathematics Department
Daisuke Minematsu
Organization: Osaka University
Satoshi Hashiba
Revision date


Suppose that you calculate a number with the form x^y, where x = 999...999 and y is a natural number. If you arrange it as the shape of a rectangle whose width is the number of the digits of x, then you get a beautiful figure. This fact has been already published as R.Miyadera, D.Minematsu and S.Hashiba, A beautiful figure made of 999...9^n, Visual Mathematics , Vol 6, No.2, 2006, Mathematical Institute of the Serbian Academy of Sciences and Arts.

*Arts and Humanities > Visual Art

Expansion of (a+b)^n
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*The curve of the expansion of (a + b)^n   [in MathSource: Packages and Programs]
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Miyadera math.nb (3.9 MB) - Mathematica Notebook [for Mathematica 5.2]
Miyadera math.nb.zip (116.4 KB) - ZIP archive of the notebook file