IC16: Massword Path
CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
Stankovic, Tatjana
Boskovic, Jasna
The application of geometry in other sciences is inevitable. Therefore, grasping and describing space around us is important. In this workshop, we shall present several ways of geometry application in data protection and share an idea of approaching cryptography and geometry to the pupils. Our goal is to help pupils to grasp space better and to understand some tools for its description by using game of encryption in the online environment that is the most common environment to them.
 So, let's start. How we came up to this idea of MassFord path. When you want to open an account, you need to create a password. So how to create a password? Will it be weak, strong? You need to know the characteristic of weak and strong password. So what is weak password? It has less than six characters, names, numbers, addresses, anything that can be related to you. It has dictionary words. And what is strong password? It has eight or more characters, no weak parts, and mixed cases letters with numbers and special characters. So you create a password, you use account, and stop using it for a while. Have you ever forgotten your password? I have. But some people would say they haven't. So for those who say no, we haven't, do you use the same password for everything? Is it good? So do you know what is MassFord? Have you ever heard of that word? We found that word in the urban dictionary, and it means when someone uses the same password for everything. So this is an example from the urban dictionary. I won't read it. So major question is, I have a password. It's strong. I want to remember one password. So does it necessary has to become my password, a MassFord? And the answer is no, it doesn't. You can use the same characters, mix them up, and create new strong passwords. But you come to the problem that you have to remember all those passwords. So at the beginning of the story, yeah? Sorry, this is a survey. So you are at the beginning of the story. So how can we overcome this problem? And MassFord gives you a solution. And not only that, it gives you an opportunity to show your password to everybody, and yet he or she doesn't have to know that it's a password, you know? And it doesn't have to know its meaning, you know? So you have to create a simple rule to know and to create some kind of artwork so you can see all of your passwords, and yet nobody has to know it. It's a password. Let's see, are you confused, interesting? Do you want to see how it's worked? Let's show you on a simple example. So this is our password would be MassFord. But notice we have instead of A, at, and instead of S, pi. Okay? Special characters. This is not actually a very strong password because it contains the word, you know, word from the dictionary. But we can create a strong password. What is important? It's important for visualization of our password. It's important to have a rule. How shall we do it? So this is the simplest example. You will see that there are complicated examples, but the simplest, just to get an idea. First of all, we will connect the position of the character in the password with the radius of the circle. So the first position would have the largest radius. It would be represented as a circle with the largest radius, and the last with the circle with the smallest radius is in decreasing order. So we will connect each letter with the color. So M will be yellow, orange. We will have our own pattern for colors. We use this one. It's the simplest one. Yellow, orange, red, violet, light blue, dark blue, light green, dark green. Okay? We know all this pattern. So can we go to the next slide? This would be represented our password, but M, S, W, V, O, R, and D are small letters. Okay? And how we will represent large letters? Same rule, but not circles with rings. Okay? Is this clear? So the next is we can mix them up and get this. Can you read it? Please try. A large or small? Okay? Orange. Orange was? Red. So notice, red can be represented as a circle and the ring is the same. Okay? Red. Red was? I'm sorry? Sorry? Five? So the light blue? Low. Okay? The upper, yeah. The light green. Our small, large, small. The, yes. Let's see. This is our word. So let's go next. We can shift one letter to the left or whatever you want. Shift colors left or am right, is the same. So this is what we'll get. If at, as the first edition, this with, what it will represent. These are all small letters. Okay. And yes, is it strong? It's a good question. Why? Why it's a word? Yes, it contains word, word from dictionary, you know. So we will go to the next one. We can mixture them up. So will this become a strong password? Like this. If you represent. It's stronger. We could say it's stronger, but not yet strong because not all the letters are mixed up. You know, all the letters are low. So we can go to the next and we can do this. So we create a strong password. So this is our visualization of the password and we can put it on the wall. We can put it on the T-shirt. We can wear it everywhere we want. And everybody can see it. And yet doesn't know what it means. So you don't have. And for this. This is made in GeoGebra. This is visualization of the password into D. How would you visualize this in 3D? Yes, I'm sorry. How would you visualize this in 3D? How would you represent your password in 3D? It's a cone. Actually, it is. GeoGebra gives you an opportunity to switch point of view from rotate and change the point of view from where you're looking at this cone. And at some moment you will see it as a previous picture. So the next, please. And these are scenes from our workshops. As you can see, we have these workshops to our colleagues, to our pupils and to this special little girl. A guest. She's three years old. She was enjoying it. And we had also a special guest that was Yastna's auntie. She's 80. And she made a special present at the end for some of you. So the atmosphere was great. People were enjoying. They learned a lot about password and mathematics. It's very good because you can do different things from mathematics. You can use functions. You can use geometric shapes. Everything you can connect. You can talk about one-to-one mapping. You can connect with different theories of learning, create a great atmosphere. And yet people won't know that they are doing NMAT and cryptography and art. These are the works that were made. And as you can see, this one reminds me of Pete Modrian. Don't you think? On the right side, the second from above. And as you can see, these works have different meanings. You can put them on the wall. Can you? Yes. They have different rules for making passwords. Some of them have parts from one circle to another. It means that... Sorry, Yastna. Just grab the microphone, please. You can see... Can I just show this one? It connects two circles. You don't have to use all the colors. You can use only two colors. And just sign a transition of letters. So this one is fourth and is connected to this one that is sixth in the order of your password. Okay. And yes, I can add this one also that you can use different geometric shapes. It's very interesting. You can use triangle, quadril and everything. So the position can be described that way. So it's different... can we go to the next slide, please? And this is made in GeoGebra, Ijo and Photoshop Online. Yes. Pixlr. Pixlr. So also they can use different programs and learn in different online environments. And enjoy mathematics and cryptography. And art. I have to art. Okay. And the... It's the basics. The next slide. And this is 3D geometric shapes. So we were making models with our hands. You know, just drawing what you're making. It's very important for children to draw. Sometimes we did the job, for example, for this because it was hard for them. It was small ages, not... they haven't learned that yet. But for example, for the cube, they can create that. It's not hard. So the hands and brain working together is very important, you know. And this was a dodica hedron made with pyramids. But when we created that, we noticed that we cannot describe the position of the letters, you know, in the world. In the world. So what we did, we used edges to connect the top of the pyramid to connect and to come to the ecosystem. You see, the picture here and above. And this one. So it's good for children to learn the connection between dodica hedron and equestrian. You know, it's very hard for them to understand this. So these are models and you can put them somehow and create some geometrical shape. Okay. And some... It's always different. Always different. And yet it has different meaning. And this is what we made in GeoGebra. We used GeoGebra as environment to create 3D models. For high schools. For high schools, yes. Secondary school. It would be translated. So any questions? And questions. Yes? So do I understand correctly? So you need one visualization for each password? Yes. So I just have a suggestion for that password, a password path to the power of 2. Because at the end we just want to have one visualization that I have with me. And with this visualization I can create all the passwords I need. And it's equally safe. So what you could use is something like if you... I don't know, log into the imaginary side. You take the word imaginary and out of imaginary you put it in the visualization and you get your password for imaginary. So only you can create with one visualization all the passwords for everybody. Yes. So that was the point. Not to have one visualization for each side. Okay, then that is fine. To have a rule of visualization. So when you have many passwords you don't have to write them down. You don't have to send you by email or to memorize them because it's not safe. So you can make your picture, put it on a wall and see. And you know what it means. So... If you have any other questions... Okay. I create my password and what I will do if I will forget about what kind of letters and symbols I was using from the beginning. What I have to do. So I have a picture, it's funny picture but I completely... But if you use the same rule. If you use the same rule for every password. I don't think that you will forget the rule as quick as the password. You can write it down. You can write it down. Because nobody can recognize your password because you know your password. Oh, okay. If you remember a password, the rule can stay visual. Everybody knows that rule. Okay. You know all the passwords and the password... Okay. Okay. There is and there is. Oh. So let me start. The question is, except from the security, you need time to recover a password. It should be a very short time, right? Did you test how much time you need to recover a password from the drawing? I mean if it takes like 10 minutes for me to recover a password, it's kind of a little bit too much. German. Is it strict word? Eben gibeng macht meister. Yes. Exercise. And you will quickly remain your password. Okay. And I have a very short second question. Can you go back to the slide where you have the photos with the workshop? Yes. Just very curious. This one. How did you describe the lady on the left corner that she needs a password? She was here with her father. Her father needs it. He's our professor at the Electro-Technical School in Pantium. But it's good for her to know from the beginning to start exercise. Yes, please. If you have the colors displayed publicly and also the rules displayed publicly and all you need to remember is the password, then it's exactly the same situation that you had before. Because the attacker only needs to guess your password. No, your password is a weak password. Massword? I know, but it's going back to the previous question. If you can display publicly the colors. And you said that you can also display publicly the rules because the only secret you have is the password. That's exactly the same situation that you had before implementing this. The only secret that you have is the password. But it's about your need for different passwords for every site you are signing in. But an attacker guesses the password, applies the rules, has the colors, gets every password. But it's very hard to, from a strong password. Can I add something? Can we leave this question after our special assignment? Okay. And this is our special assignment. So this is a question for you. In the upper left corner, there is a 3D model of strong passwords. And we gave it to you. So please, what is the master from which we have created this strong password? Sorry, don't really understand the question. You see, in the upper left corner, there is a strong password. And we gave it to you. You don't have to crack it. You don't have to find it. Yes, this one is connected with this one. And what is the password from which we created this? You know the rule. You know the colors. You know everything. Let's see. The order of colors? Yes? Yes, or show the... Reward. You said, but you haven't said right, right, right thing. Okay. What is your final answer? I'm loving math. So I less than 3N math. So I'm loving math. No. Less than 3N math. Less than 3N math. Less than 3N. Yes, you get it. Hot. So if you connect these two things, this is a heart. And you will get a special gift that was made by Yasna's auntie, who is all 80s. She created her password on a t-shirt. And Yasna told her about this bit. And she wanted to be part of our workshop. So thank you. This answered your question that you asked. I'm not entirely sure. Okay. Can we discuss over the break? Sure, absolutely. It's not a problem. Any other questions? So thank you. Thank you.
 So, let's start.  How we came up to this idea of MassFord path.  When you want to open an account, you need to create a password.  So how to create a password?  Will it be weak, strong?  You need to know the characteristic of weak and strong password.  So what is weak password?  It has less than six characters, names, numbers, addresses, anything that can be related to  you.  It has dictionary words.  And what is strong password?  It has eight or more characters, no weak parts, and mixed cases letters with numbers and special  characters.  So you create a password, you use account, and stop using it for a while.  Have you ever forgotten your password?  I have.  But some people would say they haven't.  So for those who say no, we haven't, do you use the same password for everything?  Is it good?  So do you know what is MassFord?  Have you ever heard of that word?  We found that word in the urban dictionary, and it means when someone uses the same password  for everything.  So this is an example from the urban dictionary.  I won't read it.  So major question is, I have a password.  It's strong.  I want to remember one password.  So does it necessary has to become my password, a MassFord?  And the answer is no, it doesn't.  You can use the same characters, mix them up, and create new strong passwords.  But you come to the problem that you have to remember all those passwords.  So at the beginning of the story, yeah?  Sorry, this is a survey.  So you are at the beginning of the story.  So how can we overcome this problem?  And MassFord gives you a solution.  And not only that, it gives you an opportunity to show your password to everybody, and yet  he or she doesn't have to know that it's a password, you know?  And it doesn't have to know its meaning, you know?  So you have to create a simple rule to know and to create some kind of artwork so you  can see all of your passwords, and yet nobody has to know it.  It's a password.  Let's see, are you confused, interesting?  Do you want to see how it's worked?  Let's show you on a simple example.  So this is our password would be MassFord.  But notice we have instead of A, at, and instead of S, pi.  Okay?  Special characters.  This is not actually a very strong password because it contains the word, you know, word  from the dictionary.  But we can create a strong password.  What is important?  It's important for visualization of our password.  It's important to have a rule.  How shall we do it?  So this is the simplest example.  You will see that there are complicated examples, but the simplest, just to get an idea.  First of all, we will connect the position of the character in the password with the  radius of the circle.  So the first position would have the largest radius.  It would be represented as a circle with the largest radius, and the last with the circle  with the smallest radius is in decreasing order.  So we will connect each letter with the color.  So M will be yellow, orange.  We will have our own pattern for colors.  We use this one.  It's the simplest one.  Yellow, orange, red, violet, light blue, dark blue, light green, dark green.  Okay?  We know all this pattern.  So can we go to the next slide?  This would be represented our password, but M, S, W, V, O, R, and D are small letters.  Okay?  And how we will represent large letters?  Same rule, but not circles with rings.  Okay?  Is this clear?  So the next is we can mix them up and get this.  Can you read it?  Please try.  A large or small?  Okay?  Orange.  Orange was?  Red.  So notice, red can be represented as a circle and the ring is the same.  Okay?  Red.  Red was?  I'm sorry?  Sorry?  Five?  So the light blue?  Low.  Okay?  The upper, yeah.  The light green.  Our small, large, small.  The, yes.  Let's see.  This is our word.  So let's go next.  We can shift one letter to the left or whatever you want.  Shift colors left or am right, is the same.  So this is what we'll get.  If at, as the first edition, this with, what it will represent.  These are all small letters.  Okay.  And yes, is it strong?  It's a good question.  Why?  Why it's a word?  Yes, it contains word, word from dictionary, you know.  So we will go to the next one.  We can mixture them up.  So will this become a strong password?  Like this.  If you represent.  It's stronger.  We could say it's stronger, but not yet strong because not all the letters are mixed up.  You know, all the letters are low.  So we can go to the next and we can do this.  So we create a strong password.  So this is our visualization of the password and we can put it on the wall.  We can put it on the T-shirt.  We can wear it everywhere we want.  And everybody can see it.  And yet doesn't know what it means.  So you don't have.  And for this.  This is made in GeoGebra.  This is visualization of the password into D.  How would you visualize this in 3D?  Yes, I'm sorry.  How would you visualize this in 3D?  How would you represent your password in 3D?  It's a cone.  Actually, it is.  GeoGebra gives you an opportunity to switch point of view from rotate and change the point of view from where you're looking at this cone.  And at some moment you will see it as a previous picture.  So the next, please.  And these are scenes from our workshops.  As you can see, we have these workshops to our colleagues, to our pupils and to this special little girl.  A guest.  She's three years old.  She was enjoying it.  And we had also a special guest that was Yastna's auntie.  She's 80.  And she made a special present at the end for some of you.  So the atmosphere was great.  People were enjoying.  They learned a lot about password and mathematics.  It's very good because you can do different things from mathematics.  You can use functions.  You can use geometric shapes.  Everything you can connect.  You can talk about one-to-one mapping.  You can connect with different theories of learning, create a great atmosphere.  And yet people won't know that they are doing NMAT and cryptography and art.  These are the works that were made.  And as you can see, this one reminds me of Pete Modrian.  Don't you think?  On the right side, the second from above.  And as you can see, these works have different meanings.  You can put them on the wall.  Can you?  Yes.  They have different rules for making passwords.  Some of them have parts from one circle to another.  It means that...  Sorry, Yastna.  Just grab the microphone, please.  You can see...  Can I just show this one?  It connects two circles.  You don't have to use all the colors.  You can use only two colors.  And just sign a transition of letters.  So this one is fourth and is connected to this one that is sixth in the order of your password.  Okay.  And yes, I can add this one also that you can use different geometric shapes.  It's very interesting.  You can use triangle, quadril and everything.  So the position can be described that way.  So it's different... can we go to the next slide, please?  And this is made in GeoGebra, Ijo and Photoshop Online.  Yes.  Pixlr.  Pixlr.  So also they can use different programs and learn in different online environments.  And enjoy mathematics and cryptography.  And art.  I have to art.  Okay.  And the...  It's the basics.  The next slide.  And this is 3D geometric shapes.  So we were making models with our hands.  You know, just drawing what you're making.  It's very important for children to draw.  Sometimes we did the job, for example, for this because it was hard for them.  It was small ages, not... they haven't learned that yet.  But for example, for the cube, they can create that.  It's not hard.  So the hands and brain working together is very important, you know.  And this was a dodica hedron made with pyramids.  But when we created that, we noticed that we cannot describe the position of the letters, you know, in the world.  In the world.  So what we did, we used edges to connect the top of the pyramid to connect and to come to the ecosystem.  You see, the picture here and above.  And this one.  So it's good for children to learn the connection between dodica hedron and equestrian.  You know, it's very hard for them to understand this.  So these are models and you can put them somehow and create some geometrical shape.  Okay.  And some...  It's always different.  Always different.  And yet it has different meaning.  And this is what we made in GeoGebra.  We used GeoGebra as environment to create 3D models.  For high schools.  For high schools, yes.  Secondary school.  It would be translated.  So any questions?  And questions.  Yes?  So do I understand correctly?  So you need one visualization for each password?  Yes.  So I just have a suggestion for that password, a password path to the power of 2.  Because at the end we just want to have one visualization that I have with me.  And with this visualization I can create all the passwords I need.  And it's equally safe.  So what you could use is something like if you...  I don't know, log into the imaginary side.  You take the word imaginary and out of imaginary you put it in the visualization and you get your password for imaginary.  So only you can create with one visualization all the passwords for everybody.  Yes.  So that was the point.  Not to have one visualization for each side.  Okay, then that is fine.  To have a rule of visualization.  So when you have many passwords you don't have to write them down.  You don't have to send you by email or to memorize them because it's not safe.  So you can make your picture, put it on a wall and see.  And you know what it means.  So...  If you have any other questions...  Okay.  I create my password and what I will do if I will forget about what kind of letters and symbols I was using from the beginning.  What I have to do.  So I have a picture, it's funny picture but I completely...  But if you use the same rule.  If you use the same rule for every password.  I don't think that you will forget the rule as quick as the password.  You can write it down.  You can write it down.  Because nobody can recognize your password because you know your password.  Oh, okay.  If you remember a password, the rule can stay visual.  Everybody knows that rule.  Okay.  You know all the passwords and the password...  Okay.  Okay.  There is and there is.  Oh.  So let me start.  The question is, except from the security, you need time to recover a password.  It should be a very short time, right?  Did you test how much time you need to recover a password from the drawing?  I mean if it takes like 10 minutes for me to recover a password, it's kind of a little bit too much.  German.  Is it strict word?  Eben gibeng macht meister.  Yes.  Exercise.  And you will quickly remain your password.  Okay.  And I have a very short second question.  Can you go back to the slide where you have the photos with the workshop?  Yes.  Just very curious.  This one.  How did you describe the lady on the left corner that she needs a password?  She was here with her father.  Her father needs it.  He's our professor at the Electro-Technical School in Pantium.  But it's good for her to know from the beginning to start exercise.  Yes, please.  If you have the colors displayed publicly and also the rules displayed publicly and all you need to remember is the password,  then it's exactly the same situation that you had before.  Because the attacker only needs to guess your password.  No, your password is a weak password.  Massword?  I know, but it's going back to the previous question.  If you can display publicly the colors.  And you said that you can also display publicly the rules because the only secret you have is the password.  That's exactly the same situation that you had before implementing this.  The only secret that you have is the password.  But it's about your need for different passwords for every site you are signing in.  But an attacker guesses the password, applies the rules, has the colors, gets every password.  But it's very hard to, from a strong password.  Can I add something?  Can we leave this question after our special assignment?  Okay.  And this is our special assignment.  So this is a question for you.  In the upper left corner, there is a 3D model of strong passwords.  And we gave it to you.  So please, what is the master from which we have created this strong password?  Sorry, don't really understand the question.  You see, in the upper left corner, there is a strong password.  And we gave it to you.  You don't have to crack it.  You don't have to find it.  Yes, this one is connected with this one.  And what is the password from which we created this?  You know the rule.  You know the colors.  You know everything.  Let's see.  The order of colors?  Yes?  Yes, or show the...  Reward.  You said, but you haven't said right, right, right thing.  Okay.  What is your final answer?  I'm loving math.  So I less than 3N math.  So I'm loving math.  No.  Less than 3N math.  Less than 3N math.  Less than 3N.  Yes, you get it.  Hot.  So if you connect these two things, this is a heart.  And you will get a special gift that was made by Yasna's auntie, who is all 80s.  She created her password on a t-shirt.  And Yasna told her about this bit.  And she wanted to be part of our workshop.  So thank you.  This answered your question that you asked.  I'm not entirely sure.  Okay.  Can we discuss over the break?  Sure, absolutely.  It's not a problem.  Any other questions?  So thank you.  Thank you.
IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___0_731.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___732_923.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___924_983.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___984_1055.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___1056_1787.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___1788_1895.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___1896_4571.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___4572_5819.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___5820_11303.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___11304_11387.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___11388_11543.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___11544_13079.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___13080_13343.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___13344_13439.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___13440_13619.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___13620_14027.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___14028_15599.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___15600_15647.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___15648_15695.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___15696_22751.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___22752_25739.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___25740_28955.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___28956_30455.png IC16__Massword_Path_-_Jasna_Bo__kovi___and_Tatjana_Stankovi___30456_31958.png