Here's the answer:

## Spoiler! Don't open if you're figuring it out still!

It's 87!

Also, do any of you have the game Tricky? It's a brain-teaser/logic game. It's frustrating but fun, I recommend it!

Here's the answer:

It's 87!

Also, do any of you have the game Tricky? It's a brain-teaser/logic game. It's frustrating but fun, I recommend it!

Oooh yay let's do this together!!

It looks like there are a lot of parts to it

Must go, I will be back later

Thanks for sharing the link.

A Hopscotch variable only has a max of 7 digits.

I plan to make my project handle up to 20 digit variables.

Okay this is a start diagram (I have more working out in my books but not on iPad yet)

very bad explaining...

And then I used sine rule the orange length and the length in red in terms of x (I know it is just one unit length but I set it to x anyway for generalisation ) and that is where I am up to, hopefully I can show that on Paper later

Edit: whoops I did a mistake, I need to fix that up. Wait it seemed to be okay actually. Let me know if I've made any mistakes.

Sine rule/law of sines:

Symmetry for sin(180° - θ) = sin(θ):

Double angle identities/formulae - expansion of sin(2θ):

Now we can find the area of one of the orange triangles, there is a way of finding the area of a triangle using two sides and an angle between them:

As for the circle and the inscribed regular pentagon, at the moment I have an idea for using area of segments in circles

https://www.mathsisfun.com/geometry/circle-sector-segment.html

Edit: hmm I don't actually know if there are other unshaded parts in the circle that aren't clear at first...

And whoops this wasn't meant to be just me going off on a tangent, this was just what I was exploring

This has freed me from a lot of boredom, thanks so much @JonnyGamer

https://www.tynker.com/play?p=590c05a91c36d1f40a8b456e#/

Here is a quick "Collatz" machine made with Tynker.'

It's pretty easy to use.

It worked with 20 digit numbers.

I don't know what's the max digit sized numbers that the project can use.

I slowed the projects speed down a little, so the user can see the variable as it changes.

Without the slowdown, it takes less than 2 seconds to get to 1 using a 20 digit variable

Ooh that is very cool

I implemented the pseudocode that I put before, in Hopscotch:

I have a quick one for everyone

**What is the only number that, when spelled in English, that has all its letters in alphabetical order?**

Is it forty.

I'll check out your Hopscotch project.

I used the same type of code you showed a pic of.

@MR.GAM3R

That's great.

When you have finished making+using your Swift version, can you tell me what's the max digit number you can use before letters like "e" are used in the number value?

The Tynker version i made started using letters when a variable had 23 digits.

I haven't started the Construct version yet.

Yes it is hehe

There is another one (not about alphabetical order but still wordplay):

**Which is the only number, in the English language, which has the same number of letters in its name as its numerical value?**

And the code in the Hopscotch project is just the same as the pseudocode that I put earlier so it is not really anything although I should have checked more closely if it was working correctly...

...

Haha I was about to say that I was reflecting on the mathematical side of it too, then realised I was making some assumptions.

Is there a case where it will not work?

Oh wait, I thought you meant the Collatz Conjecture But was it for the number?

Four was the answer from what I had read although I didn't think to question it thoroughly for other numbers...

Hehe q r s t u

R is before u

But that was really close (I don't the answer but you were close as in it could of been it)

Ohhh I see whoops I will edit to clarify that the alphabetical order isn't related here haha, it was just related in looking at the names of the words. I have Murderous Maths to thank for those:

Oh, you meant that oops @t1_hopscotch , sorry @Stradyvarious, what I said wasn't necessary,

(I thought you meant like abc as in what's the only number that's in alphabetical order)