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seeing... mathmatics

updated wed 29 dec 10

 

Larry Kruzan on fri 24 dec 10


Since I was trained as an engineer from the time I could carry a slide rule
(yes, that long ago) I learned to "Draw" engineering diagrams, schematics
and such like. If you think that art is drained from all such - you have
never looked through a set of prints from a draftsmen who viewed their labo=
r
as craft. Frank Lloyd Wright's team made some of the most magnificent art
you have ever seen, but it was certainly functional art. Not only are his
drawings as beautiful as function, but they move your soul to want to live
in one of his homes. Somewhere in that mess of art-craft-function-emotion
and desire, art lives too.

There is also the line to cross between seeing as an artist and seeing as a
mathematician. About the time I was given that first slipstick from my Dad
(who worried about me supporting myself) and my aunt who gave me a kit of
pastels and a sketchpad to feed a muse of a different type.

My Dad won out and I became a Mechanical Engineering and since I liked
school and an Electrical Engineering degree only required 6 more classes - =
I
did my first double degree. This precluded the option of feeding my artisti=
c
muse.

Many or perhaps most of you have a good idea how much math is involved to
gain the degrees I sought, so when I tell you that I worn out two slide
rules, you might understand. Somewhere along this road I discovered that I
had gained the ability to visualize a curve before all the data was worked.
I never tried to answer test questions this way, or to EVER use it as I
worked a problem where lives might be at risk. There were those occasions
when my answer was so different from the graph shining in my mind that I
just HAD to rework the thing. I loved Vector Analysis.

So whats this got to do with Art???? I thought you'd never ask..I have foun=
d
that Art I love is based on math. Math that contains the relationships that
result in graceful curves or spirals.

Larry Kruzan

Lost Creek Pottery

www.lostcreekpottery.com

Larry Kruzan on fri 24 dec 10


Since I was trained as an engineer from the time I could carry a slide rule
(yes, that long ago) I learned to "Draw" engineering diagrams, schematics
and such like. If you think that art is drained from all such - you have
never looked through a set of prints from a draftsmen who viewed their labo=
r
as craft. Frank Lloyd Wright



Larry Kruzan

Lost Creek Pottery

www.lostcreekpottery.com

John Rodgers on fri 24 dec 10


Larry,

Being able to express ones feelings and emotions, ones "art" - through
the language of mathematics is a huge plus that many artists never get
to experience. I may be wrong, but I believe it was Einstein who said -
to paraphrase - that unless one could express oneself in the language
of mathematics, then there was no expression at all.

John Rodgers
Clayartist and Moldmaker
88'GL VW Bus Driver
Chelsea, AL
Http://www.moldhaus.com


On 12/24/2010 3:24 AM, Larry Kruzan wrote:
> Since I was trained as an engineer from the time I could carry a slide ru=
le
> (yes, that long ago) I learned to "Draw" engineering diagrams, schematics
> and such like. If you think that art is drained from all such - you have
> never looked through a set of prints from a draftsmen who viewed their la=
bor
> as craft. Frank Lloyd Wright's team made some of the most magnificent art
> you have ever seen, but it was certainly functional art. Not only are his
> drawings as beautiful as function, but they move your soul to want to liv=
e
> in one of his homes. Somewhere in that mess of art-craft-function-emotion
> and desire, art lives too.
>
> There is also the line to cross between seeing as an artist and seeing as=
a
> mathematician. About the time I was given that first slipstick from my Da=
d
> (who worried about me supporting myself) and my aunt who gave me a kit of
> pastels and a sketchpad to feed a muse of a different type.
>
> My Dad won out and I became a Mechanical Engineering and since I liked
> school and an Electrical Engineering degree only required 6 more classes =
- I
> did my first double degree. This precluded the option of feeding my artis=
tic
> muse.
>
> Many or perhaps most of you have a good idea how much math is involved to
> gain the degrees I sought, so when I tell you that I worn out two slide
> rules, you might understand. Somewhere along this road I discovered that =
I
> had gained the ability to visualize a curve before all the data was worke=
d.
> I never tried to answer test questions this way, or to EVER use it as I
> worked a problem where lives might be at risk. There were those occasions
> when my answer was so different from the graph shining in my mind that I
> just HAD to rework the thing. I loved Vector Analysis.
>
> So whats this got to do with Art???? I thought you'd never ask..I have fo=
und
> that Art I love is based on math. Math that contains the relationships th=
at
> result in graceful curves or spirals.
>
> Larry Kruzan
>
> Lost Creek Pottery
>
> www.lostcreekpottery.com
>
>

Snail Scott on fri 24 dec 10


On Dec 24, 2010, at 3:24 AM, Larry Kruzan wrote:
> Frank Lloyd Wright's team made some of the most magnificent art
> you have ever seen...


Most of Frank Lloyd Wright's best-known presentation
drawings were done by another architect in his office.
She was a licensed architect in her own right, and
eventually moved to Australia where she and her
husband established their own firm. Her renderings
have has almost as much effect on the public perception
of Wright's work as have the buildings themselves.

-Snail

Birgit Wright on fri 24 dec 10


Larry=3D3B Your story puts me in mind of my fathers education as a young m=
an=3D
( He would have been 89 this year)=3D2C by day he worked as an apprentice =
to=3D
a mechanic for his practical and by night he went to classes where he lear=
=3D
ned auto mechanics theory=3D2C which meant learning to draft exploded drawi=
ng=3D
s of engines so he could better understand them. I think the level of educ=
=3D
ation of this auto mechanic was up there with a mechanical engineer from al=
=3D
l that he was able to do. He was always working at some invention and they =
=3D
always started on paper and moved into marquette's in wood and then machini=
=3D
ng parts till he had a working engine. For his retirement he developed a h=
=3D
igh idle device for diesel engines that he manufactured in his basement. I=
=3D
t greatly supplemented my parents pension income=3D2C he also built steam e=
ng=3D
ine models from scratch for a hobby=3D2C all first fully drafted out.=3D20
=3D20
Now I watch my son in the construction business where he took an Architec=
=3D
tural technologist course=3D2C which is the more practical side of the busi=
ne=3D
ss=3D2C And this all started by drawing on every scrap of paper he could =
ge=3D
t as a kid=3D2C he would forever be designing house plans=3D2C And now he=
can=3D
design them and build them.=3D20
=3D20
Drawing really is a language that should have more place in school curric=
=3D
ulum. It has gotten lost by its association with 'Fine Art' (Deemed non-ess=
=3D
ential)=3D2C and now how many teachers are there that could actually teach =
it=3D
? Well rendered line drawing is something that is for me truly sublime.
=3D20
As We embrace the Holiday season my heart swells with the joy I get watch=
=3D
ing all our children (3 my own and 3 step-girls=3D2C all in their 20's) ste=
p =3D
out and find their place in the world=3D2C and the pleasurable surprise of =
ho=3D
w they go about it.
=3D20
Happy Holiday's to Everyone and plenty of Sumptuous Food. Birgit Wright =
=3D20

=3D20
> Date: Fri=3D2C 24 Dec 2010 03:24:26 -0600
> From: larry_kruzan@COMCAST.NET
> Subject: Seeing... Mathmatics
> To: Clayart@LSV.CERAMICS.ORG
>=3D20
> Since I was trained as an engineer from the time I could carry a slide ru=
=3D
le
> (yes=3D2C that long ago) I learned to "Draw" engineering diagrams=3D2C sc=
hema=3D
tics
> and such like. If you think that art is drained from all such - you have
> never looked through a set of prints from a draftsmen who viewed their la=
=3D
bor
> as craft. Frank Lloyd Wright's team made some of the most magnificent art
> you have ever seen=3D2C but it was certainly functional art. Not only are=
h=3D
is
> drawings as beautiful as function=3D2C but they move your soul to want to=
l=3D
ive
> in one of his homes. Somewhere in that mess of art-craft-function-emotion
> and desire=3D2C art lives too.
>=3D20
> There is also the line to cross between seeing as an artist and seeing as=
=3D
a
> mathematician. About the time I was given that first slipstick from my Da=
=3D
d
> (who worried about me supporting myself) and my aunt who gave me a kit of
> pastels and a sketchpad to feed a muse of a different type.
>=3D20
> My Dad won out and I became a Mechanical Engineering and since I liked
> school and an Electrical Engineering degree only required 6 more classes =
=3D
- I
> did my first double degree. This precluded the option of feeding my artis=
=3D
tic
> muse.
>=3D20
> Many or perhaps most of you have a good idea how much math is involved to
> gain the degrees I sought=3D2C so when I tell you that I worn out two sli=
de
> rules=3D2C you might understand. Somewhere along this road I discovered t=
ha=3D
t I
> had gained the ability to visualize a curve before all the data was worke=
=3D
d.
> I never tried to answer test questions this way=3D2C or to EVER use it as=
I
> worked a problem where lives might be at risk. There were those occasions
> when my answer was so different from the graph shining in my mind that I
> just HAD to rework the thing. I loved Vector Analysis.
>=3D20
> So whats this got to do with Art???? I thought you'd never ask..I have fo=
=3D
und
> that Art I love is based on math. Math that contains the relationships th=
=3D
at
> result in graceful curves or spirals.
>=3D20
> Larry Kruzan
>=3D20
> Lost Creek Pottery
>=3D20
> www.lostcreekpottery.com
=3D

Lee Love on fri 24 dec 10


On Fri, Dec 24, 2010 at 10:10 AM, Snail Scott w=
=3D
rote:
> On Dec 24, 2010, at 3:24 AM, Larry Kruzan wrote:
>> Frank Lloyd Wright's team made some of the most magnificent art
>> you have ever seen...

Wright is one of my favorite architects. His work was more
organic than mathematical. He thought "Greek architecture was a
sham" and that there was too much copying of European architecture in
American work. He was strongly influenced by Japanese woodblock
prints and architecture.

Some explanation comes from his Unitarian background and a
similar philosophical approach as fellow Unitarian Ralph Waldo
Emerson.

"Every great architect is - necessarily - a great poet. He must be a
great original interpreter of his time, his day, his age." --Frank
Lloyd Wright


--
=3DA0Lee, a Mashiko potter in Minneapolis
http://mingeisota.blogspot.com/

"Form follows function - that has been misunderstood. Form and
function should be one, joined in a spiritual union." --Frank Lloyd
Wright

Fred Parker on mon 27 dec 10


Hey Larry:

My degree is in architecture; however, prior to that (and just before a
stint in the military back during Vietnam days) I almost completed a degr=
=3D
ee
in chemical engineering.

For much of my life prior to those days in engineering I was told,
"Mathematics is the 'language' of science and engineering." I believed i=
=3D
t,
but until I sat in classrooms actually doing science and engineering I
really didn't have much of a clue what that actually meant.

However, like you, I discovered some of the Truths wrapped up in mathemat=
=3D
ics
while slogging through an engineering education. Eventually I realized m=
=3D
ath
is a lens that allows us to see the world as it really is. It is impossi=
=3D
ble
to explain this -- or the view possible -- to someone who has not
experienced it. As brilliant as one might believe oneself to be, those w=
=3D
ho
don't speak the language simply cannot truly understand the book.

I still remember the day it came to me. I was sitting in a calculus clas=
=3D
s
at Auburn University in 1965. I could find the exact classroom AND my
approximate seat today if they are still there. It was that memorable. =
=3D
We
were plotting functions and I began noticing the incredible beauty and
gracefulness of some of the curves. Later, I began to notice those same
curves in all kinds of things, both natural and man-made. It was a
connecting point in my own life, a moment when I realized there actually =
=3D
was
a connection between the science of academics and the science of the real=
=3D
world.

Since then some friends and family have given me "the look" when I have
referred to the Diety as "That big differential equation up in the sky."=3D=
20=3D

Not many know what I mean by it. I suspect most mathematicians do...

Fred Parker=3D20=3D20=3D20=3D20=3D20

SNIP
>
>Many or perhaps most of you have a good idea how much math is involved t=
=3D
o
>gain the degrees I sought, so when I tell you that I worn out two slide
>rules, you might understand. Somewhere along this road I discovered that=
=3D
I
>had gained the ability to visualize a curve before all the data was work=
=3D
ed.
>I never tried to answer test questions this way, or to EVER use it as I
>worked a problem where lives might be at risk. There were those occasion=
=3D
s
>when my answer was so different from the graph shining in my mind that I=
=3D

>just HAD to rework the thing. I loved Vector Analysis.
>
>So whats this got to do with Art???? I thought you'd never ask..I have f=
=3D
ound
>that Art I love is based on math. Math that contains the relationships t=
=3D
hat
>result in graceful curves or spirals.
>
>Larry Kruzan
>

Edouard Bastarache on mon 27 dec 10


Fred,

you were lucky to have calculus teachers.
I had to do it by myself because I took the
lessons at the grad school level. they used
modern mathematical language.
I was too old for that kind of business, so was
my friend the vet.
Him and I bought Schaum's book in calculus
and we made it by ourselves (no wonder I am
hard-headed).

Gis,

Edouard Bastarache
Spertesperantisto

Sorel-Tracy
Quebec

http://www.flickr.com/photos/30058682@N00/
http://edouardbastarache.blogspot.com/
http://www.facebook.com/edouard.bastarache
http://bastaracheblogsarts.blogspot.com/




----- Original Message -----
From: "Fred Parker"
To:
Sent: Monday, December 27, 2010 3:09 PM
Subject: Re: Seeing... Mathmatics


Hey Larry:

My degree is in architecture; however, prior to that (and just before a
stint in the military back during Vietnam days) I almost completed a degree
in chemical engineering.

For much of my life prior to those days in engineering I was told,
"Mathematics is the 'language' of science and engineering." I believed it,
but until I sat in classrooms actually doing science and engineering I
really didn't have much of a clue what that actually meant.

However, like you, I discovered some of the Truths wrapped up in mathematic=
s
while slogging through an engineering education. Eventually I realized mat=
h
is a lens that allows us to see the world as it really is. It is impossibl=
e
to explain this -- or the view possible -- to someone who has not
experienced it. As brilliant as one might believe oneself to be, those who
don't speak the language simply cannot truly understand the book.

I still remember the day it came to me. I was sitting in a calculus class
at Auburn University in 1965. I could find the exact classroom AND my
approximate seat today if they are still there. It was that memorable. We
were plotting functions and I began noticing the incredible beauty and
gracefulness of some of the curves. Later, I began to notice those same
curves in all kinds of things, both natural and man-made. It was a
connecting point in my own life, a moment when I realized there actually wa=
s
a connection between the science of academics and the science of the real
world.

Since then some friends and family have given me "the look" when I have
referred to the Diety as "That big differential equation up in the sky."
Not many know what I mean by it. I suspect most mathematicians do...

Fred Parker

SNIP
>
>Many or perhaps most of you have a good idea how much math is involved to
>gain the degrees I sought, so when I tell you that I worn out two slide
>rules, you might understand. Somewhere along this road I discovered that I
>had gained the ability to visualize a curve before all the data was worked=
.
>I never tried to answer test questions this way, or to EVER use it as I
>worked a problem where lives might be at risk. There were those occasions
>when my answer was so different from the graph shining in my mind that I
>just HAD to rework the thing. I loved Vector Analysis.
>
>So whats this got to do with Art???? I thought you'd never ask..I have
>found
>that Art I love is based on math. Math that contains the relationships tha=
t
>result in graceful curves or spirals.
>
>Larry Kruzan
>

ned guttman on tue 28 dec 10


Hi Fred,

I too was amazed at the beauty of the curves that resulted from a relativel=
y
simple equation, but the light did not burn brightly until graduate school
when all the math finally clicked and made sense. I married the math with
the physics of the motions of the atmosphere and oceans to explain what I
observed when looking at the water on the beach and clouds in the sky. It
was only then that I realized that the physics was only an application of
the math. The forms of my pottery are primarily influenced by my
mathematical background. That big differential equation in the sky is truly
a guiding light.


Ned Guttman
Asheville, NC


On Mon, Dec 27, 2010 at 3:09 PM, Fred Parker wrote:

> Hey Larry:
>
> were plotting functions and I began noticing the incredible beauty and
> gracefulness of some of the curves. Later, I began to notice those same
> curves in all kinds of things, both natural and man-made. It was a
> connecting point in my own life, a moment when I realized there actually
> was
> a connection between the science of academics and the science of the real
> world.
>
> Since then some friends and family have given me "the look" when I have
> referred to the Diety as "That big differential equation up in the sky."
> Not many know what I mean by it. I suspect most mathematicians do...
>
> Fred Parker
>
>

Jeff Longtin on tue 28 dec 10


Funny,

Every time I see this subject line I think of the movie "A Beautiful Mind".

For me it's not so much "seeing mathematics" as much as it's "seeing
geometry". (and maybe that's evidence of my ignorance?)

Rather than reinvent the wheel each time I come up with a new form I
calculate its shape from a geometric standpoint and then play with scaling =
it
up. So much of slip casting has to do with clay stress. (How much does the
plaster mold stress the setting liquid clay?) Once I find a proportion that
doesn't stress the clay I stick with that.

Even though it ate up a few years I played with that concept to the extreme
and made several "bumpy textures" using several sizes of bumps. It's
really interesting the way different proportions affect the aesthetic qual=
ity of
a design.

Happy New Year everyone

Jeff Longtin
Minneapolis




In a message dated 12/24/2010 6:24:55 A.M. Central Standard Time,
larry_kruzan@COMCAST.NET writes:

Since I was trained as an engineer from the time I could carry a slide rul=
e
(yes, that long ago) I learned to "Draw" engineering diagrams, schematics
and such like. If you think that art is drained from all such - you have
never looked through a set of prints from a draftsmen who viewed their
labor
as craft. Frank Lloyd Wright's team made some of the most magnificent art
you have ever seen, but it was certainly functional art. Not only are his
drawings as beautiful as function, but they move your soul to want to live
in one of his homes. Somewhere in that mess of art-craft-function-emotion
and desire, art lives too.

There is also the line to cross between seeing as an artist and seeing as
a
mathematician. About the time I was given that first slipstick from my Dad
(who worried about me supporting myself) and my aunt who gave me a kit of
pastels and a sketchpad to feed a muse of a different type.

My Dad won out and I became a Mechanical Engineering and since I liked
school and an Electrical Engineering degree only required 6 more classes -
I
did my first double degree. This precluded the option of feeding my
artistic
muse.

Many or perhaps most of you have a good idea how much math is involved to
gain the degrees I sought, so when I tell you that I worn out two slide
rules, you might understand. Somewhere along this road I discovered that I
had gained the ability to visualize a curve before all the data was worked=
.
I never tried to answer test questions this way, or to EVER use it as I
worked a problem where lives might be at risk. There were those occasions
when my answer was so different from the graph shining in my mind that I
just HAD to rework the thing. I loved Vector Analysis.

So whats this got to do with Art???? I thought you'd never ask..I have
found
that Art I love is based on math. Math that contains the relationships tha=
t
result in graceful curves or spirals.

Larry Kruzan

Lost Creek Pottery

www.lostcreekpottery.com

Lee Love on tue 28 dec 10


On Tue, Dec 28, 2010 at 9:49 AM, Jeff Longtin wrote:
> Funny,
>
> Every time I see this subject line I think of the movie "A Beautiful Mind=
=3D
".

You hit it on the head. "Perfect" shapes rarely occur in nature.
We isolate them with our minds.

There was a program on PBS about fractals and mandelbrot sets
which described how repeating shapes can be described with a different
kind of mathmatics.

--
=3DA0Lee, a Mashiko potter in Minneapolis
http://mingeisota.blogspot.com/

=3D93Observe the wonders as they occur around you. Don't claim them. Feel
the artistry moving through and be silent.=3D94 --Rumi

Jeff Longtin on tue 28 dec 10


I was so mesmerized by the program that I bought the dvd. "The Colors of=3D
=3D20
Infinity"=3D20
=3D20
(Had to donate $100 to get it however.)
=3D20
Amazing to think about the huge impact Mr Mandelbrot's little discovery=3D
=3D20
had on our modern world.
=3D20
Jeff
=3D20
=3D20
=3D20
In a message dated 12/28/2010 10:32:22 A.M. Central Standard Time, =3D20
cwiddershins@gmail.com writes:

On Tue, Dec 28, 2010 at 9:49 AM, Jeff Longtin wrote=
=3D
:
> Funny,
>
> Every time I see this subject line I think of the movie "A Beautiful=3D2=
0
Mind".

You hit it on the head. "Perfect" shapes rarely occur in nature.
We isolate them with our minds.

There was a program on PBS about fractals and mandelbrot sets
which described how repeating shapes can be described with a different
kind of mathmatics.

--
Lee, a Mashiko potter in Minneapolis
http://mingeisota.blogspot.com/

=3DE2=3D80=3D9CObserve the wonders as they occur around you. Don't claim t=
hem.=3D
Feel
the artistry moving through and be silent.=3DE2=3D80=3D9D --Rumi

Lee Love on tue 28 dec 10


On Tue, Dec 28, 2010 at 10:45 AM, Jeff Longtin wrote:
> I was so mesmerized by the program that I bought the dvd. "The Colors of
> Infinity"
>
> (Had to donate $100 to get it however.)
>
> Amazing to think about the huge impact Mr Mandelbrot's little =3DA0discov=
er=3D
y
> had on our modern world.

Yes, not only in 3D imaging, but in how we look at the world.



--
=3DA0Lee, a Mashiko potter in Minneapolis
http://mingeisota.blogspot.com/

=3D93Observe the wonders as they occur around you. Don't claim them. Feel
the artistry moving through and be silent.=3D94 --Rumi