MS-C1001 - Shapes in Action, 08.09.2020-16.10.2020
Kurssiasetusten perusteella kurssi on päättynyt 16.10.2020 Etsi kursseja: MS-C1001
Osion kuvaus
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Reflections are a crucial part of the course. They have weight 1/3 in total assessment of learning outcomes.
Briefly write down your ideas related to
what happened, what was the content of discussions and how did your thinking developed
list the most challenging new matters for you
list the matters you are familiar beforehand
what are the things you would like to learn to know better
how did the approach support your learning
It is important to write these down immediately after every meeting (at least by pen and paper) and include it here asap so that teachers can follow the situation in real time
Those students that were not present : Please take a look the slides of the event at 'Lectures' and base your reflections on those.
At the end of the course present a summary about the whole process. How did you succeed? How did your group succeed? Give honest feedback about the course in general.
Please find here some ideas about reflections .
Huom : Suomenkielinen opiskelija, vastaa mieluusti suomen kielellä :)
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Analyse those images you were given during the first exercise (or choose 5-10 from the file Patterns).
Are there
•reflection lines ? How many different ?•rotation points ? How many different ?•mirror images without reflection lines ? -
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Continue to analyse the patterns (5-10) you were given (Patterns file)
1.Find fundamental domains of the tilings.2.Find the signature of the tilings3.Check the total prizes of the tilingsReturn your analysis by Tue 25th Sept
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1) Find fundamental domain and signature of Platonic solids and check the validity of Miracle theorem:
Prize(symmetry)=2-2/d, d=number of symmetries (Make use of the models you built)
2) Find signature of at least four Archimedean/Catalan solids
3) What is the value of V-E+F in each case?
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Please write a brief reflection about the movie
"Chaos: A mathematical adventure" realized by Jos Leys, Étienne Ghys and Aurélien Alvarez and available through the link http://www.chaos-math.org/enand in particular, the following Chapters:- Chapter I- Chapter VII- Chapter VIII- Chapter IXThe theoretical background of the many examples discussed in the lecture can be find on the Signs of Mathematics (http://jyu.fi/somath). -
Please write a short report (one or two pages maximum) describing the result you obtained in the Lorenz Equation tutorial. You should include pictures and the respective initial conditions associated to these. Moreover, you must explain briefly the main differences between these pictures and how one notice the "sensitivity to the initial conditions.
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Familiriaze yourself with at least two of the following productions:
Animation film "Dimensions" by Jos Leys, Étienne Ghys, and Aurélien Alvarez
(Chapters 2, 3, and 4)
www.dimensions-math.org
Upcoming indie computer game "Miegakure" by Marc Ten Bosch
www.miegakure.com
App "4D Draw" by Jeff Weeks
www.geometrygames.org/Draw4D
Make notes, and prepare to share and discuss about them with your group,
especially of their possible connection to the phenomenon of
ROTATION AROUND A PLANE -
Please propose a tentative tittle for your essay as well as a short abstract. As discussed earlier, the topic can be a practical experiment or a computer program (+ report) as well as a theoretical study (max 5 pages) about a topic that is somehow connected to the content of the course. As discussed earlier, topics from your own expertise are highly appreciated. Please contact Kirsi if you have any doubts about your topic.
In addition to the earlier topic proposals for those that found the textile workshop approach a reasonable way to learn symmetry classification of planar patterns, we highly recommend a study/report from students perspective. We plan to write an article about this experiment from the educational point of view later on. Please let Kirsi know if you are interested to contribute.
The deadline for the essay is the end of October.