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These are stained glass interpretations of various Southwest American Indian Basket designs. As is usual with glass some compromises are necessary: some shapes are not possible to reproduce in glass, some pieces may be too small to use, too may lines might converge at a single point, . . .
Given the inherent limitations of designing for stained glass, we have tried (and hopefully succeeded) in replicating the essential elements of the original basket designs.
This three petal Squash Blossom basket design is made with turquoise stained glass to reflect the color of squash blossom jewelry.
This a stained glass interpretation of a Hopi turtle coiled plaque. The original plaque is by Griselda Saufkie (Hopi, Second Mesa).
A stained glass interpretation of a basket design by a Hopi artist.
A traditional Navajo wedding basket expressed in stained glass.
A stained glass depiction of a basket design by a Papago artist.
A stained glass interpretation if a Pima Indian basket.
A Papago Indian basket design in stained glass.
A stained glass depiction of a Papago Indian basket.
A stained glass representation of a Papago Indian basket design.
All designs were drawn using only a compass and a straight edge. No measuring devices of any kind were used. All constructions are hand drawn and are complete.
Most of the regular (equal sided) polygons presented here are simply equally spaced points on the circumference of a circle that have been connected sequentially. The exceptions are the triangle and dodecagon.
Because of the nature of glass some cuts cannot be made and some pieces can be impractically small. Thus, in order to render the constructions in glass, some “artistic license” has been taken. We have added, deleted or extended some lines and arcs where necessary.
A Dodecagon (12 sided polygon) inside a square created in stained glass.
In this stained glass piece each small Circle has 1/3 the diameter of the large Circle.
The regular (5 equal sides) Pentagon is inside the circle in this stained glass piece.
In this stained glass the sides of the
Equilateral Triangle are tangent to the circle.
This stained glass piece shows an Enneagon (a nine sided polygon) inscribed in a circle. This is another “near perfect” construction. An interesting note: the sum of the digits of any multiple of nine equals nine or a multiple of nine. e.g.
3x9=27 (7+2=9) 26x9=234 13579x9=122211 111x9=999 98621x9=887589 (8+8+7+5+8+9=45)
This stained glass figure “melds” two identical constructions of tangents to a circle. A Tangent line touches the circle at a single point.
An Oval is a curve that resembles an ellipse but is not a true ellipse.
This stained glass representation has a fixed aspect ratio; it’s long axis to short axis ratio remains the same for any size construction.
This stained glass Oval can be constructed for any aspect ratio of horizontal to vertical axes.
This is a “near perfect” stained glass Heptagon (7 sides). It i s not possible to construct a perfect heptagon with only a compass and straight edge.
This stioned glass Heptagon was created using a different construction technique than the previous one. You can find the different techniques in Geometric Constructions.
A stained glass depiction of an illustration in Sacred Geometry by Miranda Lundy
The inscribed Circles have radii in the proportion of 3:2:1.
This was a commissioned work.
These are instructions for drawing the geometric figures. They are not proofs. The strict use of only a compass and a protractor was first stipulated by Plato. We think the strict use of only a compass and straightedge is more precise and certainly more fun than using a ruler and protractor!
Here we have attempted to create stained glass depictions of some visual mathematical concepts.
A Stained Glass Chambered Nautilus. The grid “overlaying” the Chambered Nautilus (see below) represents the Fibonacci sequence:
1, 1 , 2, 3, 5, 8, 13, 21, 34, . . . . where each number is equal to the total of the two numbers preceding it.
Chambered Nautulis
Here the picture of the Stained Glass piece has been enhanced to show the Fibonacci grid.
A stained glass piece of Penrose tiling.
This stained glass piece is taken from M. C. Escher. It is a Moebius strip that has been cut in half.
These are fairly common visual illusions presented in Stained Glass. The three impossible boxes illustrate how they can be hung in three different orientations.
This is a stained glass presentation of impossible structures. The inner figure is the “reverse” of the outer figure.
This stained glass piece is a collection of the common reversing box illusion.
Rubin’s famous vase illusion in stained glass.
After M. C. Escher
After M. C. Escher
After M. C. Escher
Here are a variety of stained glass creations that are not easily categorized.
A stained glass piece based on a illustration inString Figures and How to Make Them by C. F Jayne
A stained glass spider web with spider.
Five sided. Can be hung by wires or placed on a surface.
These are examples of our commissioned works and won’t be replicated.
Design by Jo Power
Design by Jo Power
Design by Jo Power
Designed by Indie Mayer
Design by Paul Power
Design by Jo Power
Design by Paul Power
Design by Paul Power
Design by Paul Power
Design by Jo Power
