By Martin Gardner

The 3rd clinical American columns assortment.

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**Additional info for New Mathematical Diversions: More Puzzles, Problems, Games, and Other Mathematical Diversions (Spectrum Series)**

**Example text**

All this is Carroll's way of poking fun a t what he thought was an excessive English respect for German erudition. '4Nowad:tys," he wrote elsewhere, "no man of Science, that setteth any store by 50 The Games and Puzzles of Lewis Carroll his good name, will cough otherwise than thus, Ach ! Euch ! " In The Diaries of Lewis Carroll, published by the Oxford University Press in 1954, a r e many entries that reflect his constant preoccupation with recreational mathematics. " Perhaps some readers will enjoy seeing if they can succeed where Carroll failed.

In The Diaries of Lewis Carroll, published by the Oxford University Press in 1954, a r e many entries that reflect his constant preoccupation with recreational mathematics. " Perhaps some readers will enjoy seeing if they can succeed where Carroll failed. Actually there is no limit to the number of right triangles that can be found with integral sides and equal areas, but beyond three triangles the areas a r e never less than six-digit numbers. Carroll came very close to finding three such triangles, as we will explain in the answer section.

Th~omas J. " 5. The simplest way to fold Barr's belt so that each end is straight across and part of a rectangle of uniform thickness is shown in Figure 16. This permits the neatest roll (the seams balance the long fold) and works regardless of the belt's length or the angles a t which the ends are cut. F I G . 16 How Burr folds his beh. 6. The assumption that the "lady" is Jean Brown, the s1;enographer, quickly leads to a contradiction. Her opening remark brings forth a reply from the person with black hair, theirefore Brown's hair cannot be black.