| Title: | Mathematics at DEC |
| Moderator: | RUSURE::EDP |
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
A Reptile is an object made up from a number of scaled versions of the same object (the scaling must be the same - there is probably a word to describe this attribute but it escapes me at the moment). The order of the reptile is the number of these smaller copies that make up the object. An example of a reptile of order 2 is the european paper size A4 which can be made up from 2 pieces of A5 (as A3 is made up of 2 sheets of A4 and so on). Is there a general proof that there exsists a reptile of order n. Thanks, Tony.
| T.R | Title | User | Personal Name | Date | Lines |
|---|---|---|---|---|---|
| 1709.1 | Will this do? | IOSG::CARLIN | Dick Carlin IOSG, Reading, England | Mon Jan 11 1993 12:43 | 3 |
How about a rectangle 1 by sqrt(n). Or did I miss something?
Dick
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| 1709.2 | CFSCTC::GILBERT | Mon Aug 02 1993 20:41 | 16 | ||
There are at least two examples of order 2 reptiles, a 1 by sqrt(2) rectangle, an isoceles right triangle. And there are several order 4 examples: any order 2 example, a square, a 1 by 2 rectangle, the shape: +--+ | | | +--+ | | +-----+ What are the other order-3 rep-tiles, besides the 1 by sqrt(3) rectangle? The smaller scaled versions are allowed to be reflections of each other. | |||||