Gothic architecture
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Gothic Architecture . Presentation by: Meagan Dowedoff Cara Boerner. Image from: http://valetourism.net/tag/notre-dame/. History. Gothic Architecture is referred to as the “Architecture of Geometry” due to its heavy reliance on geometric properties, such as proportion and symmetry.

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Gothic Architecture

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Gothic architecture

Gothic Architecture

Presentation by:

Meagan Dowedoff

Cara Boerner

Image from: http://valetourism.net/tag/notre-dame/


History

History

  • Gothic Architecture is referred to as the “Architecture of Geometry” due to its heavy reliance on geometric properties, such as proportion and symmetry.

  • During the Gothic age architecture was the dominant form of art

  • It was first developed in France, c. 1140

  • “In architecture, Gothic art was at its most intellectual”


Major characteristics

Major Characteristics

  • Buildings, especially cathedrals within the Gothic design tend to have:

  • Symmetric floor plans

  • Flying buttresses

  • Vaulted ceilings

  • Gothic arches

  • Enormous stain glass windows

  • http://www.ehow.com/info_8668480_function-stained-glass-gothic-architecture.html


Floor plan

Floor Plan

http://upload.wikimedia.org/wikipedia/commons/8/8a/Amiens_cathedral_floorplan.JPG


Gothic architecture

http://www.sacred-destinations.com/france/chartres-cathedral-photos/slides/Chartres_Plan

http://www.andrew-may.com/mm.htm


Flying buttresses

Flying Buttresses

  • “A buttress is a support built against a wall to support or reinforce it.”

  • Originally in order to get the desired height the walls would have to be thick along the base of the walls, but more was wanted.

  • They desired more height and the ability to let light in through beautiful stain glass windows.

  • http://architecture.about.com/od/buildingparts/g/buttresses.htm


Gothic architecture

  • http://physicsbuttresses.blogspot.ca/2008/12/physics-and-history-behind-buttresses.html


Flying buttresses1

Flying Buttresses

  • In order to do this, gothic architects invented flying buttresses.

  • These buttresses allowed the horizontal force of the roof to go down the buttresses, releasing the force and not causing the walls to buckle under the weight.

http://www.opendimension.org/blender_en/arch_pressure.php


Gothic arches

Gothic arches

  • The next few slides layout a proof of a property that is needed to produce the Gothic Arches.

  • http://4.bp.blogspot.com/_s6dJiNMUuWE/Sx3O3jiajoI/AAAAAAAACq4/XUamcHCi4X8/s400/t467_GothicArches.jpg


Construction of an arbelos

Construction of an Arbelos


An interesting feature of arbelos

An interesting feature of arbelos’


Archimedes and his propositions

Archimedes and his propositions


Gothic architecture

R

R/2R/6 R/3


Reflecting the original circle over our midpoint line we get our resulting gothic arch

Reflecting the original circle over our midpoint line, we get our resulting Gothic arch.


The gothic arch

The gothic arch


Rose window constructions

Rose Window Constructions

  • Rose windows are primarily constructed with a compass and a straight edge.

  • There is many constructions that are possible with only these materials.

  • We have each constructed a rose window.

  • There are detailed instructions in the binder.

  • Using only basic techniques with a compass and a straight edge these rose windows were achieved.

  • There are a number of constructions possible with only these basic tools, we have given each of you a handout that give instructions.

  • http://www.greatdreams.com/sacred/Chartres-Rose-Window.jpg


Rose window construction

Rose window construction


Rose window construction1

Rose window construction


Rose window construction2

Rose window construction


Rose window construction3

Rose window construction


Rose window construction4

Rose window construction


References

References

  • Bogomolny, A. (2012) Chain of Inscribed Circles. Interactive Mathmatics Miscellany and Puzzles. Retrieved November 25, 2012 from http://www.cut-the-knot.org/Curriculum/Geometry/InversionInArbelos.shtml#theorem.

  • Bogomolny, A. (2012) Gothic Arc. Interactive Mathmatics Miscellany and Puzzles. Retrieved November 25, 2012 from http://www.cut-the-knot.org/Curriculum/Geometry/GothicArc.shtml.

  • Chiffriller, J. (n.d.). Tips & Tricks to Gothic Geometry. New York Carver. Retrieved November 1, 2012, from http://www.newyorkcarver.com/geometry/rose.htm.

  • Craven, J. (2012) What Is a “Buttress”? What is a “Flying Buttress”? About.com. Retrieved November 16, 2012 from http://architecture.about.com/od/buildingparts/g/buttresses.htm.

  • Fazio, M., Moffett, M., & Wodehouse, L. (2008). A World History of Architecture, Second Edition. McGraw-Hill Publishing.

  • Grodecki, L. (1976) Gothic Architecture. New York: Harry N. Adams Incrporated.

  • Nikolinakou, M., & Tallon, A. (n.d.) New Research in Early Gothic Flying Buttresses. University of Cambridge. Retrieved November 20, 2012 from http://www.arct.cam.ac.uk/Downloads/ichs/vol-3-2347-2362-nikolinakou.pdf.

  • Norwich, J. (2003) Great Architecture of the World. China: Da Capo Press.

  • Salpietra, M. (2010) Physics of Stone Arches. Nova. Retrieved November 21, 2012 from http://www.teachersdomain.org/asset/nv37_int_arches/.

  • Schneider, M. (n.d.) Geometry of the North Rose Window of Chartes Cathedral. Constructing the Universe. Retrieved November 23, 2012 from http://www.constructingtheuniverse.com/Chartres%20Window.html.

  • Young, R. (Spring 2012) Pappus of Alexandria and the Arbelos. University of Minnesota Morris. Retrieved November 23, 2012 from http://www.morris.umn.edu/academic/math/Ma4901/Sp2012/Near/Young-near.pdf.


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