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Math Challenges in the Minneapolis Sculpture Garden
This Art Collector Set presents math challenges based on four artworks in the Minneapolis Sculpture Garden. It is designed for 9–12 grade mathematics students and can be done on site in the Garden or in the classroom. To complete the five challenges, students will need to have pencils, paper, clipboards, calculators, a spoon (a plastic spoon or even a life-size image will suffice), and a measuring tape.
The challenges include:
1. Compare an ordinary spoon to Spoonbridge and Cherry by Claes Oldenburg and Coosje van Bruggen.
2. Compare Standing Glass Fish by Frank Gehry with a common carp.
3. Explore the geometry of Amaryllis by Tony Smith.
4. Estimate units in X with Columns by Sol LeWitt.
5. The final challenge will be for students to select a work in the Garden and devise a math challenge based on that sculpture.
In addition to the math challenges, this Set includes two model-making activites with handouts. These activities require additional materials:scissors, adhesive tape, a stapler, colored pencils and markers, and plastic bags cut in strips.
Feel free to make this Set your own. As a registered user of ArtsConnectEd you can duplicate any published Art Collector Set to your own account. Once a Set is duplicated you can edit the Set and its slides. Click here to learn more about duplicating a published Set.
Scale and ratio in art
We will start this exploration of math in the Minneapolis Sculpture Garden with a discussion of scale and ratio in art.
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Spoonbridge and Cherry
A highlight of the Minneapolis Sculpture Garden is the monumental fountain-sculpture Spoonbridge and Cherry by Claes Oldenburg and Coosje van Bruggen. While Oldenburg and van Bruggen, his wife and collaborator, have produced a number of large-scale sculptures of everyday objects—such as a flashlight in Las Vegas and a firehouse in Freiburg, Switzerland—Spoonbridge and Cherry is their first fountain-sculpture. The giant spoon stretches 52 feet across a small pond shaped like a linden tree seed.
<div class="unzoomed_thumbnail" style="width:140px; height:109.826353422px;"><img class="inline_img fake_1.27473958333" id="zoomer_22592_13686iip_loading" src="http://www.artsconnected.org/media/68/8e/f000fe08165fa7b33e9cde49b3ae/140/120/22592.jpg" class="iip_loading" title="" alt="Spoonbridge and Cherry, Claes Oldenburg, Coosje van Bruggen" height_offset="0" /></div>
Here's the first Math Challenge
- Compare the size of this sculpture (618 inches long) to the length of a real spoon. (Measure a spoon from the tip of the bowl to the end of its handle.)
- Calculate the ratio of the length of this sculpture to the length of a real spoon.
- Measure the width of a real spoon's bowl. Using the ratio you calculated in Step 2, determine the approximate width of the bowl of the Spoonbridge sculpture.
<div style="width:140px; height:120px;"><div style="position:relative; width:93.24px; height:79.92px; margin-left:0px; margin-top:0px;"><div class="unzoomed_thumbnail" style="width:93.24px; height:73.144351379px;"><img class="inline_img fake_1.27473958333" id="zoomer_22592_54294iip_loading" src="http://www.artsconnected.org/media/68/8e/f000fe08165fa7b33e9cde49b3ae/93.24/79.92/22592.jpg" class="iip_loading" title="" alt="Spoonbridge and Cherry, Claes Oldenburg, Coosje van Bruggen" height_offset="0" /></div></div><div style="position:relative; width:93.24px; height:79.92px; margin-left:46.62px; margin-top:-39.96px;"><div class="zoomed_thumbnail_wrapper" style="width:100% height:79.92px; position:relative;"><div class="zoomed_thumbnail"><img class="inline_img" src="/cgi-bin/iipsrv.fcgi?FIF=/var/www/ace2/zoom/media/68/8e/f000fe08165fa7b33e9cde49b3ae/scale.tif&rgn=0.625,0.50009610208375,0.25,0.3186848958325&WID=319.68&HEI=250.7806333&CVT=jpeg" width="79.92" height="79.92"/></div></div></div></div>
Untitled study for the sculpture Spoonbridge and Cherry
Claes Oldenburg and Coosje van Bruggen collaborated on Spoonbridge and Cherry which was commissioned for the Minneapolis Sculpture Garden. Here is what they had to say about this piece:
Claes: "Very often I am sitting at dinner and I take out my notebook. I get very inspired when I eat, for some reason."
Coosje: "One of the things that sculptors who work in an urban surrounding think of is scale, the object in comparison to the other things in the surroundings—buildings, the highway, the Cathedral, lantern posts, anything."
Discussion Questions:
Why do you think Claes Oldenburg and Coosje van Bruggen chose to exaggerate the scale of this artwork?
What other objects do you think could make interesting large-scale artworks?
<div class="unzoomed_thumbnail" style="width:140px; height:120px;"><img class="inline_img fake_0.7734375" id="zoomer_22850_40017iip_loading" src="http://www.artsconnected.org/media/34/3c/1ac04a7a3c0e91aefd7bf7dac31e/140/120/22850.jpg" class="iip_loading" title="" alt="Notebook Page: Study for the Sculpture Spoonbridge and Cherry, Claes Oldenburg, Coosje van Bruggen" height_offset="0" /></div>
Standing Glass Fish by Frank Gehry
This sculpture in the Cowles Conservatory by sculptor and architect Frank Gehry was inspired by a carp.
In Toronto, when I was very young, my grandmother and I used to go to Kensington, a Jewish market, on Thursday morning. She would buy a carp for gefilte fish. She'd put it in the bathtub, fill the bathtub with water, and this big black carp—two or three feet long—would swim around in the bathtub and I would play with it. I would stand up there and watch it turn and twist . . . and then she'd kill it and make gefilte fish and that was always sad and awful and ugly.
—Frank Gehry
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Another ratio challenge with Standing Glass Fish
What is the ratio that compares the fish sculpture to an average carp? (A common carp can grow to a maximum length of 120 cm or 47.2 inches.)
The information below includes the dimensions of this sculpture.
Artist: Frank Gehry
Date: 1986
Medium: Sculpture, Sculptures
Size: overall 264 x 168 x 102 inches
<div style="width:140px; height:120px;"><div style="position:relative; width:93.24px; height:79.92px; margin-left:0px; margin-top:0px;"><div class="unzoomed_thumbnail" style="width:93.24px; height:79.92px;"><img class="inline_img fake_0.723958333333" id="zoomer_22475_21708iip_loading" src="http://www.artsconnected.org/media/51/a2/9b7701ce491dcbcf0787f810d5bc/93.24/79.92/22475.jpg" class="iip_loading" title="" alt="Standing Glass Fish, Frank Gehry" height_offset="0" /></div></div><div style="position:relative; width:93.24px; height:79.92px; margin-left:46.62px; margin-top:-39.96px;"><div class="unzoomed_thumbnail" style="width:93.24px; height:79.92px;"><img class="inline_img fake_1" src="http://farm1.staticflickr.com/38/86788280_df372277d0_q.jpg" height_offset="0" style=" border: 1px black; position:relative; overflow: hidden; padding: 0px; margin: 0px;"/></div></div></div>
Fishdance Restaurant
Known for his innovative architectural projects, Frank Gehry includes fish in his drawings for buildings, makes fish lamps, and has even designed buildings shaped like fish. Gehry designed this restaurant in Kobe, Japan in 1987, one year after crafting Standing Glass Fish at the Walker Art Center.
Discussion Question:
How is this building like the sculpture? How is it different?
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Art Lab: Scale Models
In this lesson, students will learn about the importance of size and distinguish between life-size and an increased or decreased scale in art. They'll draw a household object in three sizes and turn the drawing into a soft relief sculpture.
This Art Lab lesson plan is presented as a PDF file that you can preview in ArtsConnectEd or download to your computer. Click the "More Info" button below and then use the "Prev" / "Next" buttons to toggle through the PDF's pages until you arrive at the link to download the file.
<div class="unzoomed_thumbnail" style="width:140px; height:120px;"><img class="inline_img fake_0.772135416667" id="zoomer_31255_52345iip_loading" src="http://www.artsconnected.org/media/c7/3c/467846c588e7765fd04633109230/140/120/31255.jpg" class="iip_loading" title="" alt="<p><span style='text-decoration: underline;'>Art Lab: Scale Models</span></p>, Walker Art Center" height_offset="0" /></div>
Amaryllis by Tony Smith
Before emerging as one of the forerunners of Minimal sculpture in the 1960s, Tony Smith worked as an apprentice to architect Frank Lloyd Wright and practiced as an architect from 1940 to 1960.
Discussion Questions:
How is this sculpture similar to a building? How is it different?
To get an idea of the scale of this work, click on the "More Info" button and scroll down to the "Scale" tab. How does this sculpture compare to the size of an average person? How would your reaction to this sculpture change if it were larger? Smaller?
<div class="unzoomed_thumbnail" style="width:140px; height:120px;"><img class="inline_img fake_0.834635416667" id="zoomer_22626_61891iip_loading" src="http://www.artsconnected.org/media/cf/5d/9da82d9afb42f564356fdc680ce6/140/120/22626.jpg" class="iip_loading" title="" alt="Amaryllis, Tony Smith" height_offset="0" /></div>
Exploring the geometry of Amaryllis
Smith composed Amaryllis using geometric shapes that change dramatically as the viewer circles the sculpture. From one view the sculpture appears as a balanced form consisting of two identical shapes. Viewed from the side, it appears unbalanced, as though the supported form might topple.
<div style="width:140px; height:120px;"><div style="position:relative; width:93.24px; height:79.92px; margin-left:0px; margin-top:0px;"><div class="unzoomed_thumbnail" style="width:93.24px; height:79.92px;"><img class="inline_img fake_1.00651041667" id="zoomer_42231_1815iip_loading" src="http://www.artsconnected.org/media/13/56/d9dc283fd4e72f182865369ca1be/93.24/79.92/42231.jpg" class="iip_loading" title="" alt="<p><span style='text-decoration: underline;'>Amaryllis</span>, by Tony Smith</p>, Walker Art Center" height_offset="0" /></div></div><div style="position:relative; width:93.24px; height:79.92px; margin-left:46.62px; margin-top:-39.96px;"><div class="unzoomed_thumbnail" style="width:93.24px; height:79.92px;"><img class="inline_img fake_0.834635416667" id="zoomer_22626_47628iip_loading" src="http://www.artsconnected.org/media/cf/5d/9da82d9afb42f564356fdc680ce6/93.24/79.92/22626.jpg" class="iip_loading" title="" alt="Amaryllis, Tony Smith" height_offset="0" /></div></div></div>
The next math challenge with Amaryllis
- What geometric shapes do you see?
- How would you determine the surface area of this sculpture?
(To solve this problem in the classroom, use all four photographs to imagine the sculpture in three-dimensions.)
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Template for Amaryllis by Tony Smith
You can use this template as another way to solve the math challenge for Amaryllis. Or you can use it to make your own model of this sculpture.
How to make a model of the sculpture Amaryllis by Tony Smith using this template:
- You can preview this handout in ArtsConnectEd or download the PDF file to your computer. Click on the "More Info" button and use the "Prev" / "Next" buttons to toggle between the page previews and a link to the file.
- Make a copy of both pages and cut out the shapes.
- Fold on the solid lines and use the small tabs to help tape the sides together.
- After making two of these forms, match up the letters and tape them together to make a model of Amaryllis.
How does this model relate to the surface area challenge you saw earlier? Does the model make apparent any clues or methods that would allow you to refine and follow through with your consideration of the sculpture's surface area?
<div class="unzoomed_thumbnail" style="width:140px; height:120px;"><img class="inline_img fake_0.772135416667" id="zoomer_44733_13294iip_loading" src="http://www.artsconnected.org/media/4a/f6/c150ec01b1c711b9145856cfd1c6/140/120/44733.jpg" class="iip_loading" title="" alt="<p>Template for <em>Amaryllis</em> by Tony Smith</p>, Walker Art Center" height_offset="0" /></div>
X with Columns by Sol LeWitt
In X with Columns, as in a number of his other works, Sol LeWitt uses geometric forms and neutral materials—cinder blocks and concrete. The artist says that he was attracted to this unlikely medium "because it was a totally 'non-art' one" with no historical associations. The low-tech masonry process lends itself to the basic geometric shapes he favors.
Click the "More Info" button and use the "Prev" / "Next" buttons to see multiple views of the work.
<div class="unzoomed_thumbnail" style="width:140px; height:112.468619247px;"><img class="inline_img fake_1.24479166667" id="zoomer_20174_22408iip_loading" src="http://www.artsconnected.org/media/be/18/bc389d9c4862e419e4a79adf8bce/140/120/20174.jpg" class="iip_loading" title="" alt="X with Columns, Sol LeWitt" height_offset="0" /></div>
Sol LeWitt math challenge
This sculpture is made of standard-sized concrete blocks.(Standard blocks are said to be 16 x 8 x 8. However, they actually measure 15 5/8 inches by 7 5/8 inches by 7 5/8 inches to allow for mortar between the blocks.)
How would you determine how many cinderblocks were used in this sculpture? What number do you come up with?
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Design a new cinderblock sculpture
After the Sol LeWitt develops a concept, a team of artisans fabricate the artwork by following a specified plan.
What the work of art looks like isn't too important. It has to look like something, if it has physical form. No matter what form it may finally have, it must begin with an idea.
Most ideas that are successful are ludicrously simple. Successful ideas generally have the appearance of simplicity because they seem inevitable. In terms of idea the artist is free to even surprise himself. Ideas are discoverd by intuition.
—Sol Lewitt, 1967
Try this:
Using the same number of cinderblocks as Sol LeWitt used for X with Columns, design a different geometric sculpture.
Write instructions for someone else to build your new sculpture.
<div class="unzoomed_thumbnail" style="width:140px; height:120px;"><img class="inline_img fake_1.03255208333" id="zoomer_110659_41072iip_loading" src="http://www.artsconnected.org/media/2a/27/3333acdabee420dfeaa2120f6d5b/140/120/110659.jpg" class="iip_loading" title="" alt="X with Columns, Sol LeWitt" height_offset="0" /></div>
Challenge yourself!
Pick another sculpture in the Garden or conservatory and think of a math problem that is inspired by that work. Write it up and share it with your fellow students.
To learn more about all the works in the Garden go to the Walker's Website devoted to the Minneapolis Sculpture Garden.