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Sonobe Phizz Duality

Sonobe and phizz modular origami units are assembled into polyhedral models in similar ways, but the ...
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Digit Patterns in Power Sequences

Looking at the last few digits that appear in the numbers that form the sequence b^0, b^1, b^2, b^3, ...
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Higher Polygonal Numbers and Pascal’s Triangle

The third diagonal column in Pascal’s Triangle (r = 2 in the usual way of labeling and numberi ...
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Pi Color Map

John Sims has created a number of pi-related art works. One, the Pi Color Map, can be recreated effe ...
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Digit Patterns in Square Numbers

If You take a look at the square numbers (n^2, n a positive integer), you’ll notice plenty of ...
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Sonobe cut-out-module

Although creating origami sonobe units is likely to be considered by most to be an essential part of ...
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Drawing Polygonal Numbers

The diagram above (known as the tetractys) shows the first four triangular numbers (1, 3, 6, 10, ...
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This Turing Machine Should Run Forever Unless Maths is Wrong

Alan Turing: still casting a long shadow over mathematics One hundred and fifty years of mathematics ...
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From English to Math

Let’s lay down some definitions: Let FF be a field and let EE be an extension of FF. An elemen ...
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If I had a blank cheque, I’d … turn IBM’s ...

Grand Challenges in Mathematics. In his famous 1900 speech The Problems of Mathematics David Hilbert ...
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Decimals to Fractions

Some students get their first look at manipulating equations when they learn how to convert a repeat ...
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Pi’s first six in a row

See a vertical stripe, what you are seeing is a run of repeated digits, like 7777, 00000, or 222. On ...
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Monty Hall and the Three Prisoners

Brian Hayes recently provided some evidence that there are still many out there who are confounded b ...
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