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Naomi's Mathsoul Poster
Artist Naomi wants to put 12 of her seasonal images on the 12 faces of a regular Platonic solid which stands 1.1m or 43 " high.
Why This Platonic Solid
A platonic solid is a convex regular polyhedron. So its faces, edges and angles will all be conguent.
Naomi wants to put her 12 seasonal images on the faces of the regular polyhedron so that it can be moved each month, to show the current month image in the most easily seen position. This approach overcomes a purchase constraint of many private customers and galleries who have no empty wall space for art; but do have floor and table space available.
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Naomi's Poster Questions
Q1. What shape should each seasonal image be so that it fills an entire face?
Q2. What examples do you know of this shape occuring in the natural world, and in the built environment?
Q3. What are the interior and exterior angles for this shape?
Q4. What is the length of each side of this shape when the polyhedron stands 1.1m or 43 inches tall? This question may require research. (Hint: One relatively simple way to calculate this is from the ratio of inner sphere diameter to side length, which for this polyhedron is 2.227. A search for other approaches using Trig is also likely to be fruitful).
Q5. Naomi is also considering a similar platonic solid display approach for further artistic images relating to the 7 days of the week, another for the 5 days of the work week, and a final one for the 8 hours of the work day. Will this be possible and what shape and size will each of these series of images need to be if they are to stand at the same height?
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About Mathsoul Posters
Mathsoul supplies posters with interactive student services, to schools and colleges. Mathsoul posters help teachers to engage and energize mathematics students.
Student Motivation. The Mathsoul My-Story series of posters show people, with their personal stories of classroom mathematics helping in life beyond the classroom.
Enduring Effect. Mathsoul posters can be displayed for extended periods, but like billboards they have extra high impact when they are changed periodically.
Effectiveness is also enhanced when students respond to the free downloadable worksheet questions by posting answers on the Mathsoul internet Forum, in class, or as homework task.
Curriculum Support. All Mathsoul posters address regular curriculum topics. Posters can be sequenced to align with the curriculum, or used in any order as a lesson adjunct.
Affordable Quality. Mathsoul posters are factory laminated for durabilty, and ready to use on arrival. Mathsoul Posters start at US$2 for small sizes.
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Mathsoul printed poster wording is correctly customised to market including use of math posters or maths posters, and metric or imperial units. Mathsoul - posters to engage, and energize!
Worksheet last updated on 1 August 2008 |
