Audrey Nasar - Symmetry Card Game - G4G15 February 2024
Summary
TLDRLud Nasser, a math professor and illustrator at the Fashion Institute of Technology, introduces 'Symmetry Cards,' a deck designed to teach symmetry groups. The cards cover rosette symmetry groups, including rotation and reflection symmetries. Nasser explains the cyclic (C1-C6) and dihedral (D1-D6, D Infinity) groups, using illustrations of characters interacting with objects to demonstrate symmetry. The deck, structured like a standard playing card set, includes 52 cards and two wild cards, with games designed to teach symmetry concepts.
Takeaways
- 🎨 The speaker, Lud Nasser, is a math professor at the Fashion Institute of Technology (FIT) in New York City and also an illustrator.
- 📐 Nasser teaches courses that blend math with fields such as illustration, animation, fine arts, graphic design, and fashion design.
- 🃏 Nasser created a deck of cards called 'Symmetry Cards' to teach and introduce symmetry groups, specifically rosette symmetry groups.
- 🔄 Rosette symmetry groups include two types of symmetries: rotational symmetry and reflection symmetry.
- ⚙️ Rotational symmetry refers to shapes that look the same after being rotated by a certain angle, while reflection symmetry refers to shapes that remain unchanged when reflected along a line.
- ♻️ The two symmetry groups in rosettes are cyclic (only rotational symmetry) and dihedral (both rotational and reflection symmetry).
- 🔢 The deck has 52 cards and 2 wild cards, structured similarly to a standard deck of playing cards, with 13 ranks per color, corresponding to symmetry groups C1 to C6, D1 to D6, and D Infinity.
- 🎲 Nasser describes two games designed to teach symmetry using the cards, including a memory game where players match cards with the same symmetry group.
- 🦋 An example of matching involves finding figures with the same symmetry, such as a butterfly and an upright base, both classified as D1 symmetry (one reflection line and 360° rotation).
- 📚 Nasser has printed three editions of the Symmetry Cards and hints at a fourth edition in development.
Q & A
What is Lud Nasser's profession?
-Lud Nasser is a math professor at the Fashion Institute of Technology in New York City, as well as an illustrator.
What types of courses does Lud Nasser teach?
-Lud Nasser teaches math courses related to his students' fields of study, including illustration, animation, Fine Arts, graphic design, and fashion design.
What is the name of the course that covers symmetry groups?
-The course that covers symmetry groups is called 'Geometry and the Art of Design'.
What are the two types of symmetries in rosettes?
-The two types of symmetries in rosettes are rotation symmetry and reflection symmetry.
What is the difference between cyclic and dihedral symmetry groups?
-Cyclic symmetry groups are shapes with rotation symmetry only, while dihedral symmetry groups are shapes with both rotation and reflection symmetries.
What does the notation 'C5' represent in the symmetry cards?
-The notation 'C5' represents a cyclic symmetry group with an order of rotation of five.
What does the notation 'D2' signify?
-The notation 'D2' signifies a dihedral symmetry group with two reflection lines and a rotation symmetry of order two.
How many cards are in the symmetry deck Lud Nasser created?
-The symmetry deck consists of 52 cards and two wild cards.
What is the structure of the symmetry deck?
-The structure of the symmetry deck is identical to a standard deck of playing cards, with four colors and 13 ranks per color.
What is the significance of the numbers in the symmetry groups C1 to C6 and D1 to D6?
-The numbers in the symmetry groups C1 to C6 and D1 to D6 correspond to the order of rotation symmetries and, in the case of dihedral groups, also equal the number of reflection lines.
How can the symmetry cards be used to play games?
-The symmetry cards can be used to play games like a memory game where pairs are found based on the same symmetry group.
What is the next step Lud Nasser mentioned regarding the symmetry cards?
-Lud Nasser mentioned that he has printed the Third Edition of the symmetry cards and hopes to have a fourth edition after editing.
Outlines
📚 Introduction to Symmetry Cards
Lud Nasser, a math professor and illustrator at the Fashion Institute of Technology in New York City, introduces symmetry cards, a deck designed to teach symmetry groups. He explains that despite FIT being a fashion school, it's more of an art school where he teaches math courses related to students' fields of study such as illustration, animation, Fine Arts, graphic design, and fashion design. Nasser teaches a course called 'Geometry and the Art of Design' where he covers symmetry groups. He created the cards to teach rosette symmetry groups, specifically focusing on rotation and reflection symmetries. He gives an overview of these symmetries and explains how they can be used to categorize rosettes into cyclic (rotation only) and dihedral (both rotation and reflection) groups. The cards feature characters interacting with objects, with the object's symmetry being the focus of classification. The deck is structured like a standard deck of cards, with 52 cards and two wild cards, divided into four colors representing different symmetry groups from C1 to C6, D1 to D6, and D Infinity.
Mindmap
Keywords
💡Symmetry Cards
💡Rotation Symmetry
💡Reflection Symmetry
💡Rosette Symmetry Groups
💡Cyclic Symmetry
💡Dihedral Symmetry
💡Symmetry Groups
💡Illustration
💡Memory Game
💡Finite Figures
💡Standard Deck of Playing Cards
Highlights
Lud Nasser is a math professor at the Fashion Institute of Technology in New York City and also an illustrator.
He teaches math courses related to fields of study such as illustration, animation, Fine Arts, graphic design, and fashion design.
Nasser teaches a course called Geometry and the Art of Design, covering symmetry groups.
He created symmetry cards to teach rosette symmetry groups.
The two types of symmetries in rosettes are rotation symmetry and reflection symmetry.
Rotation symmetry of order two is demonstrated by a Z being rotated 180 degrees.
The letter A has one reflection line, demonstrating reflection symmetry.
All finite figures have rotational symmetry of order one as they can be rotated 360 degrees and look the same.
Rosettes can be divided into two symmetry groups: cyclic (rotation symmetry only) and dihedral (both rotation and reflection symmetries).
The deck of symmetry cards is structured like a standard deck of playing cards with 52 cards and two wild cards.
The cards are divided into four colors, each with 13 ranks corresponding to symmetry groups C1 to C6, D1 to D6, and D Infinity.
The deck can be used to play games that teach symmetry.
A basic memory game is suggested where pairs are found based on the same symmetry group.
An example match in the game is a D1, where both shapes have one reflection line and one rotation.
Nasser provides a teaser for another game that teaches symmetry.
The Third Edition of the symmetry cards has been printed and is available for purchase.
Nasser invites attendees to come to his table to play the games and get a copy of the cards.
He encourages questions from the audience about the symmetry cards and their applications.
Transcripts
[Music]
my name is lud Nasser I'm a math
professor at the Fashion Institute of
Technology in New York City as well as
an illustrator and I'm going to talk
about symmetry cards uh which are a deck
of cards um that could be used to teach
um or to introduce symmetry groups uh so
fit is a a fashion school but it's
really more of an art school and I teach
math courses that are uh relate to that
relate to my students uh fields of study
which uh include illustration animation
Fine Arts um graphic design and uh
fashion design among other things um in
particular I teach a course called
geometry and the Art of design and in
this course we cover symmetry groups uh
so I created these cards u to teach
specifically rosette symmetry groups
which I'll give a brief overview of for
those who may not be familiar with them
um the two types of symmetries in
rosettes which are finite figures are
rotation Symmetry and reflection
symmetry you could see in the on the
left the Z is being rotated 180 degre
and it looks the same so that has
rotation symmetry of order two and the a
is being reflected uh along this uh
vertical reflection line so that has one
reflection line um it also has
rotational symmetry of order one because
it can be rotated 360 Dees and look the
same that's true for for all finite
figures and so um using these symmetries
we can divide rosettes into two symmetry
groups uh cyclic uh which are shapes
with rotation symmetry only um and then
dihedral which are shapes with both
rotation and reflection symmetries um if
you notice on the left the these are
what the cards look like um and so
specifically on the left you have a
character interacting with um an
everyday object uh in this case a flat
tire and the um so I go I guess I hope
that's not an everyday object but um in
the uh in the corners you see the hubc
cap repeated and that's what we're going
to be classifying according to its
symmetry group it has um order of
rotation of five um and so that would be
considered a C5 on the right uh the uh
the bone that's uh supposed to be thrown
here um is a a dihedral it has both uh
reflection um two reflection lines um
the horizontal and vertical as well as
rotation of order two uh so that's a D2
and in in both notations the N denotes
the number of rotation symmetries but
specifically with dihedral that's also
equal to the number of reflection lines
um so the deck is made up of 52 cards
and two wild cards it's divided into
four colors red blue orange and
yellow there are 13 ranks per color and
those correspond to the Symmetry groups
C1 to C6 D1 to D6 and D Infinity so
you'll notice the structure is identical
to a standard deck of playing cards
which means that you can use the cards
to play any game that you would play
with a with a standard deck um however I
have two games to introduce uh maybe
just one and I'll leave the other as a
teaser um so and these will be
specifically to teach symmetry so um you
could do a you know basic memory game uh
where you would turn the cards over and
you look for pairs in this case what
makes a pair is if the figure uh in the
corners has the same uh or falls in the
same symmetry group so this is an
example of a of a match uh specifically
a D1 because both of those shapes the
butterfly and the upright base have one
reflection line as well as one um
rotation which is that 360° rotation uh
so now is your turn um you've got four
cards down below and you've got the card
up on the right and can you tell which
one uh would be a match so if you said
the uh the pedals that's correct they're
both uh C2 in that they have a
rotational symmetry of order two and no
reflection lines and let's try one
more hopefully you said the radioactive
symbol um which is uh correct that's um
a D3 uh and that means that they both
have three reflection lines as well as
rotational symmetry of order three okay
and I'll just give a sneak preview to
the other game this is uh my favorite um
and you'll come see me at the table if
you want to play uh and that's an
example which we won't get to uh so next
steps I just printed the Third Edition
um I already have an edit so they'll
hopefully be a fourth and you can come
get a copy at the at the sales table if
you have more questions just ask thank
you
浏览更多相关视频
What are Rosette Patterns | Math in the Modern World Patterns
Transformation and Symmetry | Math in the Modern World Patterns
IUPAC Nomenclature of Cyclic Compounds
PART 2: PATTERNS AND NUMBERS IN NATURE AND THE WORLD || MATHEMATICS IN THE MODERN WORLD
Огляд Таро Котів або Котячого Таро з магазину Аврора. Демонстрація і аналіз карт від спеціаліста.
The most beautiful idea in physics - Noether's Theorem
5.0 / 5 (0 votes)