PrepTest 129, Section 4, Question 24
Fractal geometry is a mathematical theory devoted to(468 more words not shown)
Which one of the following(10 more words not shown)
- AIt is potentially(5 more words not shown)
- BIts role in(8 more words not shown)
- CIt is the(4 more words not shown)
- DIt encourages the(8 more words not shown)
- EIt enables geometers(7 more words not shown)
Reading the passage
What has the writer actually established about fractal geometry? We know about self-similarity, the construction of the Koch curve, and the different reactions to the field. The choices could draw on any of those, but we must distinguish what the writer presents as fact from what enthusiastic practitioners merely predict.
Working the answers
- A
There are two problems. The enthusiasts predict significance rivaling calculus, not much greater importance. And the writer reports that hope without adopting it as an established characteristic.
- B
No relationship between faster computers and an expanding role in mathematics is given. The limit on displaying tiny segments isn't a prediction about the field's future importance.
- C
Public interest doesn't establish that this is the fastest-growing mathematical field. We aren't given that comparison.
- D
The computers generate images. That isn't the same as using computer programs to prove theorems. The distinction matters because the critics think attractive graphics have received too much attention relative to theory.
- ECorrect
The end of paragraph two directly makes this point: elementary procedures can generate remarkably intricate designs. The Koch curve demonstrates it. Replacing the middle third of each segment by two angled segments is a simple repeated operation, yet it creates an intricate form.
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