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### Flatland, by Edwin Abbott

```
Date: 8/21/96 at 11:12:59
From: Anonymous
Subject: Flatland, by Edwin Abbott

I need any info about the book FLATLAND by Edwin Abbott and also how
it can be used in the classroom.
```

```
Date: 9/2/96 at 14:13:31
From: Doctor Jodi
Subject: Re: Flatland, by Edwin Abbott

Hi there!

Here is just a general list of some information on Flatland and class-
related projects. It's largely unorganized, but I hope it will be
archives at http://mathforum.org/dr.math   .

Several sequels to FLATLAND have been written.  My favorite is
A. K. Dewdney's _The Planiverse_, which covers many interesting
technical details like how to play volleyball, open doors, and use
zippers in 2D.  Some students might like to explain (in an oral
presentation or poster) how some of these inventions work.
Afterwards, you might ask groups of students to invent something in 2D
and discuss dimensions.

The tesseract, or hypercube, can be visualized using computer graphics
like those at http://www.geom.uiuc.edu/docs/outreach/4-cube/   .  For
more concrete, hands-on experiences, there is a Mathematics Teacher
article on "building" a hypercube.  I highly recommend using both of
these activities, if possible. You can also find information on Edwin
Abbott online at

http://www.stg.brown.edu/projects/abbott/overview.html

Here is what a few teachers have to say on the subject:
```

```
Flatland.  I have asked two essay questions:

1. What would the inhabitants of Flatland perceive if it had been a
cube instead of a circle [ed.: actually, it was a SPHERE] that
visited Flatland, and

2. What theory would you have used to color the inhabitants?

I am looking for other interesting essay questions or projects with
regard to Flatland.

Dorothy Bannar
dorothy@mathforum.org
```

```
From: David Farmer
Subject:    Re: Flatland
Date:       2 Apr 1994 20:34:50 GMT

The book `The shape of space' by Jeff Weeks has a nice continuation of
the Flatland Story.  The Flatlanders explore their world, and strange
things happen because they don't actually live on a plane and they
don't live on a sphere!  Read the book to see what surface they live
on.

I am writing a book which will discuss surfaces and such from a
different perspective, on a level accessible to your students and it
will include plenty of project ideas.  It hopefully will be done over
the summer, and I will make it available on the net.

Dave
```

```
SHAPE OF SPACE has also been issued in a video version by the Geometry
Center http://www.geom.uiuc.edu   .  The video should be available
through their loan program.  An associated curriculum also exists; I'm
not sure what its current status is.

-Doctor Jodi,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Elementary Geometry
Elementary Two-Dimensional Geometry
Middle School Geometry
Middle School Two-Dimensional Geometry

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