I think we all have some level of understanding of what shapes make better beys. For example, a very angular square or triangle shape can be great for Attack, case in point RhinoHorn and PhoenixWing. Meanwhile, your very round and circular shapes, like KnightShield or WizardRod, tend to be much better at defense and stamina. But few people I know actually know why.

I think looking at ImpactDrake and GhostCircle are perfect to analyze for this. Drake is one of the most angled shapes in X, and Ghost is one of the most circular.

The hypothetical interaction between ImpactDrake and GhostCircle

Let's say that Drake here is spinning at a certain (Rotational) Velocity, and then hits a wall. What will happen? Well, during the hit between Drake and Mr. Wall, he will impede Drake from spinning further. Drake will then consume some of the velocity it has to move off of him, but it will spin much slower by the end. The interaction between Drake and the wall is called an Impulse, which can be defined in two ways:

I = M (Mass) * ΔV (Change in Velocity)

I = F (Force) *  Δt (Change in Time)

This also means that M * ΔV = F *  Δt, so Drake consuming some of his velocity turns (with the help of his mass) into a force applied onto the wall over a small time interval.

This applies the same way to Beyblades. When ImpactDrake hits GhostCircle it consumes it's velocity to move off of it, which generates a force that acts on both beys.

Here's a cool question: going back to the wall thing, I'm sure you all think that Drake would have a much greater reaction to hitting the wall than Ghost, but why is that? Well, the reason goes back to how angular it is. When a bey is so angular, it has gaps and protrusions that go in or out of its overall circular shape.

Every Beyblade is, at its core, a circle!

Now, think about this circle as representing the rotation of the beyblade. When something goes into the circle, well now it can't spin! But it has all this rotational velocity so it has to keep moving, spinning somehow! So like I said before, it consumes its own velocity to create a force between it and the wall.

Ghost is just a circle already.

Meanwhile, the interaction between it and the wall wouldn't be very meaningful, it's not going to impede the spin of Ghost at all, except through friction. So it doesn't need to consume much of its velocity to move off. It does not generate it's own force significantly.
Now going back to how Ghost and Drake would interact with each other, Drake would treat Ghost like a wall, and Ghost would just kind of be passive through the whole thing:

ImpactDrake VS GhostCircle visualized; Blue/Purple Arrow = Rotational Velocity, Orange Arrow= Force

Between Drake and Ghost there is an equal amount of force being applied to the two beys. This is Newton's Third Law of motion: each action has an equal but opposite reaction. The difference is how the force is applied. For both beys you can see that the Orange arrow is, in part, leaned toward the direction of rotation, and in part towards the center of the beyblade.
Forces are what we call vectors, which means they have a certain magnitude and a direction. The thing about vectors is that you can split them into multiple parts, so long as the sum of all of those parts adds up to the original vector. Applying this to the force herecan help us understand what's going on.

GhostCircle taking a hit

One part of the (now purple) force goes into the blue force, which opposes rotation and represents a loss in velocity. Meanwhile, the Red arrow represents how much of it is going straight into the center of the bey, which turns into linear velocity. This linear velocity is the knockback each Beyblade faces. In GhostCircle's case, the red arrow is FAR larger than the blue arrow, meaning it takes the force much more linearly than it does against it's rotation.

Impact Drake taking a hit

Note: The two purple arrows on either bey are perfectly opposite to one another, just like the original orange arrow

In the case of Drake, the red arrow is still larger than the blue arrow, but not by nearly as much. The blue arrow is far larger than in Ghost. So that would mean that although Drake still receives recoil from the hit, it's less than for Ghost. But instead, it loses more of its rotational velocity.

So kind of to summarize: both ImpactDrake and GhostCircle help show how effects the hits in beyblade. ImpactDrake helps show that more angular beys consume more of their stamina, but also produce a larger force between the two beys. It also shows that the forces applied to itself happen more against spin, and less as recoil. Meanwhile, GhostCircle shows that round and circular beys create much less force upon hit, and also receive forces more as knockback than against spin.

This shows why stamina and defense types like being round so much. Stamina types want to conserve as much rotational velocity as possible on hit and do not mind getting knocked around a bit so long as it maintains spin. So stamina types like the property it has of not losing rotational velocity. Meanwhile, although defense types doesn't like taking knockbacks, it would prefer that over adding to the impulse and making the force even more explosive. So defense likes the property of it not contributing to the force.

Now, I'm tired so I'll post a part two tomorrow. I've gone over the main aspect of shape here, but I want to talk about what that and some other factors mean to both ImpactDrake and GhostCircle. But again, tomorrow. I hope you all enjoyed, see you all later.

---

i don’t know what to put here.

I haven't gotten a chance to look at this completely but just by skimming over I can see you put a lot of effort into it! Can't wait to read it.

---

I think we all have some level of understanding of what shapes make better beys. For example, a very angular square or triangle shape can be great for Attack, case in point RhinoHorn and PhoenixWing. Meanwhile, your very round and circular shapes, like KnightShield or WizardRod, tend to be much better at defense and stamina. But few people I know actually know why.

I think looking at ImpactDrake and GhostCircle are perfect to analyze for this. Drake is one of the most angled shapes in X, and Ghost is one of the most circular.

The hypothetical interaction between ImpactDrake and GhostCircle

Let's say that Drake here is spinning at a certain (Rotational) Velocity, and then hits a wall. What will happen? Well, during the hit between Drake and Mr. Wall, he will impede Drake from spinning further. Drake will then consume some of the velocity it has to move off of him, but it will spin much slower by the end. The interaction between Drake and the wall is called an Impulse, which can be defined in two ways:

I = M (Mass) * ΔV (Change in Velocity)

I = F (Force) *  Δt (Change in Time)

This also means that M * ΔV = F *  Δt, so Drake consuming some of his velocity turns (with the help of his mass) into a force applied onto the wall over a small time interval.

This applies the same way to Beyblades. When ImpactDrake hits GhostCircle it consumes it's velocity to move off of it, which generates a force that acts on both beys.

Here's a cool question: going back to the wall thing, I'm sure you all think that Drake would have a much greater reaction to hitting the wall than Ghost, but why is that? Well, the reason goes back to how angular it is. When a bey is so angular, it has gaps and protrusions that go in or out of its overall circular shape.

Every Beyblade is, at its core, a circle!

Now, think about this circle as representing the rotation of the beyblade. When something goes into the circle, well now it can't spin! But it has all this rotational velocity so it has to keep moving, spinning somehow! So like I said before, it consumes its own velocity to create a force between it and the wall.

Ghost is just a circle already.

Meanwhile, the interaction between it and the wall wouldn't be very meaningful, it's not going to impede the spin of Ghost at all, except through friction. So it doesn't need to consume much of its velocity to move off. It does not generate it's own force significantly.
Now going back to how Ghost and Drake would interact with each other, Drake would treat Ghost like a wall, and Ghost would just kind of be passive through the whole thing:

ImpactDrake VS GhostCircle visualized; Blue/Purple Arrow = Rotational Velocity, Orange Arrow= Force

Between Drake and Ghost there is an equal amount of force being applied to the two beys. This is Newton's Third Law of motion: each action has an equal but opposite reaction. The difference is how the force is applied. For both beys you can see that the Orange arrow is, in part, leaned toward the direction of rotation, and in part towards the center of the beyblade.
Forces are what we call vectors, which means they have a certain magnitude and a direction. The thing about vectors is that you can split them into multiple parts, so long as the sum of all of those parts adds up to the original vector. Applying this to the force herecan help us understand what's going on.

GhostCircle taking a hit

One part of the (now purple) force goes into the blue force, which opposes rotation and represents a loss in velocity. Meanwhile, the Red arrow represents how much of it is going straight into the center of the bey, which turns into linear velocity. This linear velocity is the knockback each Beyblade faces. In GhostCircle's case, the red arrow is FAR larger than the blue arrow, meaning it takes the force much more linearly than it does against it's rotation.

Impact Drake taking a hit

Note: The two purple arrows on either bey are perfectly opposite to one another, just like the original orange arrow

In the case of Drake, the red arrow is still larger than the blue arrow, but not by nearly as much. The blue arrow is far larger than in Ghost. So that would mean that although Drake still receives recoil from the hit, it's less than for Ghost. But instead, it loses more of its rotational velocity.

So kind of to summarize: both ImpactDrake and GhostCircle help show how effects the hits in beyblade. ImpactDrake helps show that more angular beys consume more of their stamina, but also produce a larger force between the two beys. It also shows that the forces applied to itself happen more against spin, and less as recoil. Meanwhile, GhostCircle shows that round and circular beys create much less force upon hit, and also receive forces more as knockback than against spin.

This shows why stamina and defense types like being round so much. Stamina types want to conserve as much rotational velocity as possible on hit and do not mind getting knocked around a bit so long as it maintains spin. So stamina types like the property it has of not losing rotational velocity. Meanwhile, although defense types doesn't like taking knockbacks, it would prefer that over adding to the impulse and making the force even more explosive. So defense likes the property of it not contributing to the force.

Now, I'm tired so I'll post a part two tomorrow. I've gone over the main aspect of shape here, but I want to talk about what that and some other factors mean to both ImpactDrake and GhostCircle. But again, tomorrow. I hope you all enjoyed, see you all later.

Just read it all...Orbit how on good God did you discover all this!? This is honestly really impressive. I mean I think most of us knew that shapes played a role but I didn't know the actual fundamentals and reasoning behind it. Mad respect

---

I think we all have some level of understanding of what shapes make better beys. For example, a very angular square or triangle shape can be great for Attack, case in point RhinoHorn and PhoenixWing. Meanwhile, your very round and circular shapes, like KnightShield or WizardRod, tend to be much better at defense and stamina. But few people I know actually know why.

I think looking at ImpactDrake and GhostCircle are perfect to analyze for this. Drake is one of the most angled shapes in X, and Ghost is one of the most circular.

The hypothetical interaction between ImpactDrake and GhostCircle

Let's say that Drake here is spinning at a certain (Rotational) Velocity, and then hits a wall. What will happen? Well, during the hit between Drake and Mr. Wall, he will impede Drake from spinning further. Drake will then consume some of the velocity it has to move off of him, but it will spin much slower by the end. The interaction between Drake and the wall is called an Impulse, which can be defined in two ways:

I = M (Mass) * ΔV (Change in Velocity)

I = F (Force) *  Δt (Change in Time)

This also means that M * ΔV = F *  Δt, so Drake consuming some of his velocity turns (with the help of his mass) into a force applied onto the wall over a small time interval.

This applies the same way to Beyblades. When ImpactDrake hits GhostCircle it consumes it's velocity to move off of it, which generates a force that acts on both beys.

Here's a cool question: going back to the wall thing, I'm sure you all think that Drake would have a much greater reaction to hitting the wall than Ghost, but why is that? Well, the reason goes back to how angular it is. When a bey is so angular, it has gaps and protrusions that go in or out of its overall circular shape.

Every Beyblade is, at its core, a circle!

Now, think about this circle as representing the rotation of the beyblade. When something goes into the circle, well now it can't spin! But it has all this rotational velocity so it has to keep moving, spinning somehow! So like I said before, it consumes its own velocity to create a force between it and the wall.

Ghost is just a circle already.

Meanwhile, the interaction between it and the wall wouldn't be very meaningful, it's not going to impede the spin of Ghost at all, except through friction. So it doesn't need to consume much of its velocity to move off. It does not generate it's own force significantly.
Now going back to how Ghost and Drake would interact with each other, Drake would treat Ghost like a wall, and Ghost would just kind of be passive through the whole thing:

ImpactDrake VS GhostCircle visualized; Blue/Purple Arrow = Rotational Velocity, Orange Arrow= Force

Between Drake and Ghost there is an equal amount of force being applied to the two beys. This is Newton's Third Law of motion: each action has an equal but opposite reaction. The difference is how the force is applied. For both beys you can see that the Orange arrow is, in part, leaned toward the direction of rotation, and in part towards the center of the beyblade.
Forces are what we call vectors, which means they have a certain magnitude and a direction. The thing about vectors is that you can split them into multiple parts, so long as the sum of all of those parts adds up to the original vector. Applying this to the force herecan help us understand what's going on.

GhostCircle taking a hit

One part of the (now purple) force goes into the blue force, which opposes rotation and represents a loss in velocity. Meanwhile, the Red arrow represents how much of it is going straight into the center of the bey, which turns into linear velocity. This linear velocity is the knockback each Beyblade faces. In GhostCircle's case, the red arrow is FAR larger than the blue arrow, meaning it takes the force much more linearly than it does against it's rotation.

Impact Drake taking a hit

Note: The two purple arrows on either bey are perfectly opposite to one another, just like the original orange arrow

In the case of Drake, the red arrow is still larger than the blue arrow, but not by nearly as much. The blue arrow is far larger than in Ghost. So that would mean that although Drake still receives recoil from the hit, it's less than for Ghost. But instead, it loses more of its rotational velocity.

So kind of to summarize: both ImpactDrake and GhostCircle help show how effects the hits in beyblade. ImpactDrake helps show that more angular beys consume more of their stamina, but also produce a larger force between the two beys. It also shows that the forces applied to itself happen more against spin, and less as recoil. Meanwhile, GhostCircle shows that round and circular beys create much less force upon hit, and also receive forces more as knockback than against spin.

This shows why stamina and defense types like being round so much. Stamina types want to conserve as much rotational velocity as possible on hit and do not mind getting knocked around a bit so long as it maintains spin. So stamina types like the property it has of not losing rotational velocity. Meanwhile, although defense types doesn't like taking knockbacks, it would prefer that over adding to the impulse and making the force even more explosive. So defense likes the property of it not contributing to the force.

Now, I'm tired so I'll post a part two tomorrow. I've gone over the main aspect of shape here, but I want to talk about what that and some other factors mean to both ImpactDrake and GhostCircle. But again, tomorrow. I hope you all enjoyed, see you all later.

Just read it all...Orbit how on good God did you discover all this!? This is honestly really impressive. I mean I think most of us knew that shapes played a role but I didn't know the actual fundamentals and reasoning behind it. Mad respect

Thanks! It was actually Cake who initially introduced me to it! He has a good understanding of physics if you have any questions about the physics of beyblade he’s a great source to ask. Aside from him, I guess just physics/math classes in general and my personal will to use them to understand beyblades.

---

i don’t know what to put here.

The analysis makes sense to me! I'm curious to know how each vector decomposition was calculated? Another thing that would be interesting to factor in later would be the coefficient of friction of the rubber alongside the stored kinetic energy in it too (but that sounds hard lol).