TheThe NCB thanks members of our National Advisory Board for annually selecting the best deposit of the previous year.

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2013

Deposit #127
"The Fibonacci and Mondrian Spirals"


The National Curve Bank honors

Dr. Cye Waldman
.

<> Spirals in Matlab: The Golden Ratio with Mondrian Shading.


Fibonaccianimation

Waldman finds calculations with spirals to be amusing "because an approximation should be easier than that which is being approximated."

Renie Award
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2012

Deposit #113
Fractal Animation


The National Curve Bank honors

Chaya Morasha Gilbert-McNabb
.

<>  Julia Sets in MATHEMATICA®.



Fractal

Among the new notation introduced in Harriot's algebra book Artis Analyticae Praxis published by his friends.

Renie Award
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2011

Deposit #111

Wooden Models of the Conic Sections


The National Curve Bank honors

Francisco Treceño of Valladolid, Spain
.

Treceño is a master wood lathe craftsman. 



Following a National Curve Bank tradition of supporting craftsmen producing models of mathematically related forms, we are honoring Treceño for his video demonstrating the union of wooden conic sections.


Renie Award
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2010

Deposit #103

The Cannonball Curves of Thomas Harriot


The National Curve Bank honors

Dr. Janet Beery, University of Redlands
and
Dr. Louis Talman of
Metropolitan State College, Denver
.


Harriot investigated projectile motion in the 1600s. 

Harriotcannonshot

Among the new notation introduced in Harriot's algebra book Artis Analyticae Praxis published by his friends in 1631, ten years after his death, were the symbols for less than and greater than, < and >, that we use today.



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2009

Deposit #98
<>Quasi-Spherical Orbits and Surfaces

The National Curve Bank honors
the historic animations

created by

Robert G. Chester,
Intellectual Properties Associates
Tumwater. WA .


Leibniz collaborated with Bernoulli to publish
a wonderful illustration of a quasi-spherical
orbit.





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2008

Deposit #84

The Catenary or "Chain" Curve

The National Curve Bank honors the catenary
created by Dr. Gary Brookfield of
California State University, Los Angeles.


"All five of the finalists this year deserve to be winners. The hinged dissections (#89) and the circle (#85) are nice; and the catenary is a classic curve if there ever were one."

A member of the National Advisory Board of the NCB.



From Schooten's Latin edition of Descartes.

Be sure to note Descartes' axes were not always perpendicular.



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2007

Deposit #81

How to Visualize a Contour Map

The National Curve Bank honors the contour maps
created by Dr. Louis Talman of
Metropolitan State College, Denver.


"I'm teaching Calc 3 this term.  My students are struggling (as they always do) with visualizing things like this.  I'm showing this in class today!"

A member of the National Advisory Board of the NCB.



From one of Descartes' hallmark problems
investigating roots and signs of polynomials.

Be sure to note the equals sign used by the printer was that of the horoscope's Gemini.



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2006

Deposit #64

Vector Fields

In his work, Dr. Dray recognizes
the stellar contributions of
Hamilton, Maxwell and Gibbs.
He thus represents mathematics

from
Ireland, Scotland and the United States.

The National Advisory Board of the NCB.


The National Curve Bank honors the interactive vector fields
created by Dr.Tevian Dray of
Oregon State University




From one of Descartes' hallmark problems
uniting algebra with geometry.


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2005

Deposit #58
The Brachistochrone

"For the Shrewdest Mathematicians
of All the World"
Johann (Jean or John) Bernoulli
June, 1696


The National Curve Bank honors the animations
developed by Gustavo Gordillo of
Verdugo Hills High School
Los Angeles Unified School District
 


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2004

Deposit #37
Area of a Surface of Revolution


We also honor a companion page
developed by Dr. Talman.

Deposit #36
Volume of a Solid of Revolution













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2003



The Cycloid Family of Curves


Cycloid, Trochoid, Epicycloid, Hypocycloid, Epitrochoid and Hypotrochoid

NCB Deposit #30



Dr. Paul Chabot










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2002



Sphericons . . . . . .a New Solid Shape.

Two Cones with a Twist.


Deposit #14



Steve Mathias






Note the birthday expressed in Latin
as the last day of March, 1596.