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Topic: What do you call an 11 sided polygon?
Replies: 29   Last Post: Dec 27, 2006 6:37 PM

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Sarah Seastone

Posts: 171
Registered: 12/3/04
Re: What do you call an 11 sided polygon?
Posted: Sep 20, 1995 5:01 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

>What do you call an 11 sided polygon? Please respond via e-mail.
>
>rickw@ntn.com


An 11-sided polygon is called a hendecagon (or endecagon).

Here's some additional information contributed by John Conway in October of
1994:

1) For the "numerical" part of the name, one should use the Greek
prefixes:

mono, di, tri, tetra, penta, hexa, hepta, octa, ennea,

deca, hendeca, dodeca, trideca, etc, icosa, triaconta, hecta ..

10 11 12 13 20 30 100

A 24-gon would thus officially be an icositetragon.

There are variations in spelling and formation

(eg dekagon, endecagon, triskaidecagon,...)

(the "kai" here means "and")

The "gon" has an interesting etymology : it is ultimately
derived from the Greek word "gonu" for "knee", which they
transferred to "angle".

This word goes straight back to the Indo-European, and is
essentially the same in lots of languages:

gonu (greek)
genu (latin)
k nee (english)

French is similar to Latin here, and German to English (except
that the "K" is still pronounced.

3) The "hedron" in "polyhedron" is also an Indo-European
word, meaning "seat". A "cathedral" church is one that contains
a seat from which a bishop hands down authoritative opinions
(cata = down, hedron = seat).

In accordance with Grimm's law, the "h" is Greek
correesponds to "s" in English, while "d" may soften to "t"
and "p" or "b" to "f" or "v". So look:

penta
five hexa
six hepta
seven hedr
seat ped
foot

4) In summary, a "polygon" is a thing with many knees,
and a "polyhedron" a thing with many seats.
. . .

I see someone asked about the 24-gon, 48-gon, 96-gon. The
"official" names are

icositetragon

tetracontaoctagon

enneacontahexagon

if anyone cares. A "myriagon" would be a polygon with 10000 sides.

. . .

I see that
"undecagon" and "duodecagon" have been rearing their ugly
heads again. The full set is

monogon, digon, trigon, tetragon, pentagon, hexagon, heptagon, octagon

(of which monogon and digon can only be used in rather special circumstances);

it's digon not "bigon"; and trigon and tetragon are alternatives to "triangle"
and "quadrilateral" - the adjectival forms "trigonal" and "tetragonal"
being more common), then

enneagon, decagon, hendecagon, dodecagon, triskaidecagon, tetrakaidecagon,...

not

nonagon undecagon duodecagon

but tridecagon and tetradecagon (&c)
are OK.


________________
Sarah Seastone
Editor/Web Archivist
The Geometry Forum
sarah@forum.swarthmore.edu
http://forum.swarthmore.edu/~sarah/
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Date Subject Author
9/19/95
Read What do you call an 11 sided polygon?
Brian Deacon
9/20/95
Read Re: What do you call an 11 sided polygon?
John Conway
11/20/03
Read 11-sided polygon
TheHez
12/16/03
Read Re: 11-sided polygon
John Conway
1/25/05
Read Re: What do you call an 11 sided polygon?
jimmy
1/25/05
Read Re: Math questions answered at mathforum area volume acres roots cubes
Bob L Petersen
12/17/06
Read Re: Math questions answered at mathforum area volume acres roots cubes
ooooroseoooo
9/20/95
Read Re: What do you call an 11 sided polygon?
Sarah Seastone
9/20/95
Read Re: What do you call an 11 sided polygon?
Jim LaCasse
9/20/95
Read Re: What do you call an 11 sided polygon?
Robert Allen Saxon
9/20/95
Read Re: What do you call an 11 sided polygon?
Lou Talman
9/21/95
Read Re: What do you call an 11 sided polygon?
John Conway
9/21/95
Read Re: What do you call an 11 sided polygon?
Dan Hirschhorn
9/21/95
Read Re: What do you call an 11 sided polygon?
Chrystal Hogan
2/9/04
Read WHAT IS A 11-SIDED POLYGON?
Terence Watters
9/21/95
Read Re: What do you call an 11 sided polygon?
brihut@cr520@cleveland.freenet.edu
9/21/95
Read Re: What do you call an 11 sided polygon?
brihut@cr520@cleveland.freenet.edu
9/21/95
Read Re: What do you call an 11 sided polygon?
brihut@cr520@cleveland.freenet.edu
9/22/95
Read Re: What do you call an 11 sided polygon?
John Conway
9/22/95
Read Re: What do you call an 11 sided polygon?
John Conway
8/25/97
Read Re: polygon names
r!chard tchen
1/19/04
Read Reply to "What do you call an 11 sided polygon?"
Mr. Scott Sutow
1/20/04
Read Re: Reply to "What do you call an 11 sided polygon?"
Mary Krimmel
1/20/04
Read Re: Reply to "What do you call an 11 sided polygon?"
Carl LaCombe
1/21/04
Read Reply to "What do you call an 11 sided polygon?"
Mary Krimmel
1/20/04
Read Re: Reply to "What do you call an 11 sided polygon?"
John Conway
9/21/06
Read Re: Reply to "What do you call an 11 sided polygon?"
laylalover
10/2/06
Read Re: Reply to "What do you call an 11 sided polygon?"
Brian Quincy Hutchings
12/27/06
Read Re: Reply to "What do you call an 11 sided polygon?"
Ed C.
12/18/06
Read Re: What do you call an 11 sided polygon?
sushi

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