Folded continued fractions
We exhibit uncountably many binary decimals together with their explicit continued fraction expansions. These expansions require only the partial quotients 1 or 2. The pattern of valleys and ridges in a sheet of paper repeatedly folded in half plays a critical role in our construction.
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| Published in | Journal of number theory Vol. 40; no. 2; pp. 237 - 250 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.02.1992
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| Online Access | Get full text |
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| Summary: | We exhibit uncountably many binary decimals together with their explicit continued fraction expansions. These expansions require only the partial quotients 1 or 2. The pattern of valleys and ridges in a sheet of paper repeatedly folded in half plays a critical role in our construction. |
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| ISSN: | 0022-314X 1096-1658 |
| DOI: | 10.1016/0022-314X(92)90042-N |