Subject

Fw: Fw: Fw: more Bernoulli links to Pale Fire. Fractals &

frac-tails.

frac-tails.

From

Date

Body

----- Original Message -----

From: <tom@discobolus.co.za>

>

> ----------------- Message requiring your approval (13

lines) ------------------

> Dear Don and List...

>

> Jansy has speculated about fractals and frac-tails -- but "frac" is French

> for a dress coat, tail coat or clawhammer coat. When VN writes " -- which

> the native illusionist, frac-tails flying..." it reminds me of the white-

> tie stage performer I once saw, who used to make live doves disappear (by

> flinging them backwards between his legs into secret pockets in his frac-

> tails).

>

>

> Regards,

>

> Tom

========================================================================

Date: Sat, 27 Sep 2003 19:39:03 -0700

Reply-To: Vladimir Nabokov Forum <NABOKV-L@LISTSERV.UCSB.EDU>

Sender: Vladimir Nabokov Forum <NABOKV-L@LISTSERV.UCSB.EDU>

From: "D. Barton Johnson" <chtodel@cox.net>

Subject: Fw: more Bernoulli links to Pale Fire

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EDNOTE. NABOKV-L thanks Mary Krimmel for her discriminating and =

informative note.

----- Original Message -----=20

From: Mary Krimmel=20

Message requiring your approval (29 lines) ------------------ Benoit =

Mandelbrot claims the coining of the term "fractal" for a collection of =

certain mathematical sets. He explains this in "Fractals: Form, Chance, =

and Dimension", published in 1977, a "much modified and augmented second =

version of 'Les objets fractals:'.. (1975)". No one disputes his claim.=20

The explosive interest in and development of the topic depended much on =

the development of computer technology. So VN could not have known about =

fractals when he wrote Pale Fire, first published in 1962.. Surely he =

must have known something of the name and reputation of J. Bernoulli and =

of "Math", but putting the golden rectangles into the collection of =

connotations of the lemniscate of line 137 is too much of a stretch.

The rectangles are not related to the findings about fractals - at least =

not in any but the most distant way.

Mary Krimmel

Jansy asked:

"In the Post-Script that VN added to "Lolita" he speaks about enchanters =

and he uses the word "fractails". I wonder if he could also be making a =

reference there to the modern mathematical discoveries concerning =

'fractals' ? =20

"Would those 'smaller and smaller golden rectangles' of =

Bernouilli=B4s logarithmic spiral -brought up by C. Kunin - be in any =

way related to the findings about fractals? Would VN be familiar with =

Math, Bernouilli and Fractal theory? "

------=_NextPart_000_002B_01C3852F.01822790

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<META http-equiv=3DContent-Type content=3D"text/html; =

charset=3Diso-8859-1">

<META content=3D"MSHTML 6.00.2800.1226" name=3DGENERATOR>

<STYLE></STYLE>

</HEAD>

<BODY bgColor=3D#ffffff>

<DIV><FONT face=3DArial size=3D2>EDNOTE. NABOKV-L thanks Mary Krimmel =

for her=20

discriminating and informative note.</FONT></DIV>

<DIV style=3D"FONT: 10pt arial">----- Original Message -----=20

<DIV style=3D"BACKGROUND: #e4e4e4; font-color: black"><B>From:</B> <A=20

title=3Dmary@krimmel.net href=3D"mailto:mary@krimmel.net">Mary =

Krimmel</A>=20

</DIV></DIV>Message requiring your approval (29 lines) =

------------------ Benoit=20

Mandelbrot claims the coining of the term "fractal" for a collection of =

certain=20

mathematical sets. He explains this in "Fractals: Form, Chance, and =

Dimension",=20

published in 1977, a "much modified and augmented second version of 'Les =

objets=20

fractals:'.. (1975)". No one disputes his claim. <BR><BR>The explosive =

interest=20

in and development of the topic depended much on the development of =

computer=20

technology. So VN could not have known about fractals when he wrote Pale =

Fire,=20

first published in 1962.. Surely he must have known something of the =

name and=20

reputation of J. Bernoulli and of "Math", but putting the golden =

rectangles into=20

the collection of connotations of the lemniscate of line 137 is too much =

of a=20

stretch.<BR><BR>The rectangles are not related to the findings about =

fractals -=20

at least not in any but the most distant way.<BR><BR>Mary =

Krimmel<BR><BR>Jansy=20

asked:<BR><BR><FONT face=3Darial size=3D2>"In the Post-Script that VN =

added to=20

"Lolita" he speaks about enchanters and he uses the word =

"fractails". I=20

wonder if he could also be making a reference there to the modern=20

mathematical discoveries concerning 'fractals' ? =

<BR> =20

"Would those 'smaller and smaller golden rectangles' of =

Bernouilli=B4s=20

logarithmic spiral -brought up by C. Kunin - be in any way related =

to the=20

findings about fractals? Would VN be familiar with Math, =

Bernouilli and=20

Fractal theory? "<BR><BR></FONT></BODY></HTML>

------=_NextPart_000_002B_01C3852F.01822790--

From: <tom@discobolus.co.za>

>

> ----------------- Message requiring your approval (13

lines) ------------------

> Dear Don and List...

>

> Jansy has speculated about fractals and frac-tails -- but "frac" is French

> for a dress coat, tail coat or clawhammer coat. When VN writes " -- which

> the native illusionist, frac-tails flying..." it reminds me of the white-

> tie stage performer I once saw, who used to make live doves disappear (by

> flinging them backwards between his legs into secret pockets in his frac-

> tails).

>

>

> Regards,

>

> Tom

========================================================================

Date: Sat, 27 Sep 2003 19:39:03 -0700

Reply-To: Vladimir Nabokov Forum <NABOKV-L@LISTSERV.UCSB.EDU>

Sender: Vladimir Nabokov Forum <NABOKV-L@LISTSERV.UCSB.EDU>

From: "D. Barton Johnson" <chtodel@cox.net>

Subject: Fw: more Bernoulli links to Pale Fire

MIME-Version: 1.0

Content-Type: multipart/alternative;

boundary="----=_NextPart_000_002B_01C3852F.01822790"

This is a multi-part message in MIME format.

------=_NextPart_000_002B_01C3852F.01822790

Content-Type: text/plain;

charset="iso-8859-1"

Content-Transfer-Encoding: quoted-printable

EDNOTE. NABOKV-L thanks Mary Krimmel for her discriminating and =

informative note.

----- Original Message -----=20

From: Mary Krimmel=20

Message requiring your approval (29 lines) ------------------ Benoit =

Mandelbrot claims the coining of the term "fractal" for a collection of =

certain mathematical sets. He explains this in "Fractals: Form, Chance, =

and Dimension", published in 1977, a "much modified and augmented second =

version of 'Les objets fractals:'.. (1975)". No one disputes his claim.=20

The explosive interest in and development of the topic depended much on =

the development of computer technology. So VN could not have known about =

fractals when he wrote Pale Fire, first published in 1962.. Surely he =

must have known something of the name and reputation of J. Bernoulli and =

of "Math", but putting the golden rectangles into the collection of =

connotations of the lemniscate of line 137 is too much of a stretch.

The rectangles are not related to the findings about fractals - at least =

not in any but the most distant way.

Mary Krimmel

Jansy asked:

"In the Post-Script that VN added to "Lolita" he speaks about enchanters =

and he uses the word "fractails". I wonder if he could also be making a =

reference there to the modern mathematical discoveries concerning =

'fractals' ? =20

"Would those 'smaller and smaller golden rectangles' of =

Bernouilli=B4s logarithmic spiral -brought up by C. Kunin - be in any =

way related to the findings about fractals? Would VN be familiar with =

Math, Bernouilli and Fractal theory? "

------=_NextPart_000_002B_01C3852F.01822790

Content-Type: text/html;

charset="iso-8859-1"

Content-Transfer-Encoding: quoted-printable

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">

<HTML><HEAD>

<META http-equiv=3DContent-Type content=3D"text/html; =

charset=3Diso-8859-1">

<META content=3D"MSHTML 6.00.2800.1226" name=3DGENERATOR>

<STYLE></STYLE>

</HEAD>

<BODY bgColor=3D#ffffff>

<DIV><FONT face=3DArial size=3D2>EDNOTE. NABOKV-L thanks Mary Krimmel =

for her=20

discriminating and informative note.</FONT></DIV>

<DIV style=3D"FONT: 10pt arial">----- Original Message -----=20

<DIV style=3D"BACKGROUND: #e4e4e4; font-color: black"><B>From:</B> <A=20

title=3Dmary@krimmel.net href=3D"mailto:mary@krimmel.net">Mary =

Krimmel</A>=20

</DIV></DIV>Message requiring your approval (29 lines) =

------------------ Benoit=20

Mandelbrot claims the coining of the term "fractal" for a collection of =

certain=20

mathematical sets. He explains this in "Fractals: Form, Chance, and =

Dimension",=20

published in 1977, a "much modified and augmented second version of 'Les =

objets=20

fractals:'.. (1975)". No one disputes his claim. <BR><BR>The explosive =

interest=20

in and development of the topic depended much on the development of =

computer=20

technology. So VN could not have known about fractals when he wrote Pale =

Fire,=20

first published in 1962.. Surely he must have known something of the =

name and=20

reputation of J. Bernoulli and of "Math", but putting the golden =

rectangles into=20

the collection of connotations of the lemniscate of line 137 is too much =

of a=20

stretch.<BR><BR>The rectangles are not related to the findings about =

fractals -=20

at least not in any but the most distant way.<BR><BR>Mary =

Krimmel<BR><BR>Jansy=20

asked:<BR><BR><FONT face=3Darial size=3D2>"In the Post-Script that VN =

added to=20

"Lolita" he speaks about enchanters and he uses the word =

"fractails". I=20

wonder if he could also be making a reference there to the modern=20

mathematical discoveries concerning 'fractals' ? =

<BR> =20

"Would those 'smaller and smaller golden rectangles' of =

Bernouilli=B4s=20

logarithmic spiral -brought up by C. Kunin - be in any way related =

to the=20

findings about fractals? Would VN be familiar with Math, =

Bernouilli and=20

Fractal theory? "<BR><BR></FONT></BODY></HTML>

------=_NextPart_000_002B_01C3852F.01822790--