Roots : About Us : {Bibliography}

In making this final project, Brigid, Isabelle, and Kate learned from many other websites, books, and graphics. We have made an effort to thoroughly cite all outside information and images. Some of the original images were cropped and framed by Kate to create a cohesive web site.


General sources used and referred to in our website:


- Koshy, Thomas. "Fibonacci and Lucas numbers with applications." John Wiley & Sons, Inc. New York, 2001
- "Invisible Architecture" website by Bonnie Goldstein DeVarco
- "The Divine Proportion" website by George Gruner via UCLA.edu, 2003/05/05 Monday PM 06:49 EDT
- "Practical Procedural Modeling of Plants," a very thorough, interesting article with helpful graphics, 2003/05/05 Monday PM 06:49 EDT
- Summum website, <http://www.summum.org/philosophy/phi.shtml>, 2003/05/05 Monday PM 06:49 ED
- Sacred Geometry website, <http://www.sacredgeometry.com/golden%20ratio%20i.htm>, 2003/05/05 Monday PM 11:29 ED


Image sources:

{Plants}
- Trillium, <
http://www.framesandartbykluttz.com/portfolio.htm> 2003/05/03 Sat PM 07:01 EDT
- Wild Rose, <http://www.timetotrack.com/jay/rosecw.jpg> 2003/05/03 Sat PM 07:01 EDT
- Bloodroot, <http://www.wiseacre-gardens.com/plants/wildflower/bloodroot.html> 2003/05/03 Sat PM 07:01 EDT
- Black-Eyed Susan, <http://www.gis.net/~twhelan/flowers/pages/IMG_1282susanMDV_S2.htm> 2003/05/03 Sat PM 07:12 EDT
- Chamomile, <http://www.thewildrose.net/archive/herb-c.html> 2003/05/03 Sat PM 07:12 EDT
- Gaillardia, <http://www.colorwithplants.com/ts/ts_goblin.asp> 2003/05/03 Sat PM 07:12 EDT


{# of Elements}
- leaves image, <htpp://www.standards.nctm.org/Previous/ProfStds/EvTeachM3.htm> 2003/05/03 Sat PM 08:58 EDT

{2-D Spirals}
- artichoke, <http://www.cucinare.com/recipes_carciofi.htm> 2003/05/03 Sat PM 08:58 EDT
- pinecone, <http://www.ericandleandra.com/garden/botanical/october/pages/pinecone.htm> 2003/05/03 Sat PM 08:58 EDT
- top view of pinecone, <http://www.missmaggie.org/mission4_parts/eng/teaching/mathinnature.html> 2003/05/03 Sat PM 08:58 EDT
- pineapple, <http://www.botany.hawaii.edu/faculty/webb/BOT201/Angiosperm/FlowerFruit.htm> 2003/05/03 Sat PM 08:58 EDT

{3-D Spirals}
- artichoke <http://www.cucinare.com/recipes_carciofi.htm>,
2003/05/03 Sat PM 08:35:25 EDT
- pinecone <http://www.ericandleandra.com/garden/botanical/october/pages/pinecone.htm>, 2003/05/03 Saturday PM 08:35 EDT
- pinecone, top view <http://www.missmaggie.org/mission4_parts/eng/teaching/mathinnature.html>, 2003/05/03 Saturday PM 08:35 EDT
- pineapple <http://www.botany.hawaii.edu/faculty/webb/BOT201/Angiosperm/FlowerFruit.htm>, 2003/05/03 Saturday PM 08:35 EDT

{Animals}
- three starfish
image <http://www.gfnms.nos.noaa.gov/explore/pages/starfish_jpg.htm>, 2003/05/02 Fri PM 05:15:15 EDT
- pink starfish image, <http://abel.math.harvard.edu/~ddumas/images/starfish3.jpg>, 2003/05/02 Fri PM 05:15:15 EDT

{Generations}
- Bee image <http://pelotes.jea.com/honeybee.htm>
, 2003/05/02 Fri PM 05:15 EDT
- rabbit image <www.hedweb.com/animimag/rabbabs.htm>
, 2003/05/02 Fri PM 05:15 EDT

{# of Elements}

- leaf rotations <htpp://www.standards.nctm.org/Previous/ProfStds/EvTeachM3.htm>, 2003/05/03 Saturday PM 08:58 EDT

{Humans}
- DNA image, <http://milan.milanovic.org/math/english/golden/golden2.html>, 2003/04/28 Monday PM 10:06 EDT
- hand <http://www.sacredgeometry.com/golden20%ratio20%i.htm>, 2003/04/28 Monday PM 10:06 EDT

{Creative Manifestations}
- Parthenon, <http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html>,
2003/04/28 Monday PM 10:06 EDT
- 2 images of "Box of Growth" by Susan Happersett, from the Purgatory Pie Press website, <http://www.purgatorypiepress.com/artistsbooks_files/boxofgrowth.htm>, 2003/04/27 Sunday PM 02:34 EDT

{Spiral Shells}
- golden ratio, image edited by Kate, <http://www.ics.uci.edu/~eppstein/junkyard/spiraltile/> 2003/05/06 Tuesday AM 12:14 EDT
- nautilus shell, <http://www.shelterpub.com/_symmetry/nautilus.gif> 2003/05/06 Tuesday AM 12:14 EDT
- conch shell, <http://www.csacourses.com/shell.jpg> 2003/05/06 Tuesday AM 12:14 EDT

Additional Outside Links:


- For more on {Creative Manifestations}
MAA Article by Ivars Peterson on "Box of Growth" creator Susan Happersett and her interest in mobius bands <www.maa.org/mathland/mathtrek_6_11_01.html>
2003/05/02 Friday PM 03:23 EDT
 
- For more on {Plants}, {# of Elements}, and {2- and 3-D Spirals}

"Practical Procedural Modeling of Plants," a very thorough, interesting article with helpful graphics <www.td-grafik.de/artic/talk20030122/overview.html>
2003/05/02 Friday PM 03:23 EDT


Downwards in the tree: {About Us}