Actually inserting this value into the left-hand side of your equation we get $1142$, which is closer, but still a bit off. Straight-forward linear regression from these two values (draw the line going through the points $(1, 1)$ and $(11, 5)$, and see where that line hits $y = 1000$) says the two sides of the equation will be equal at $n = 2498$. For instance, inserting $n = 1$ and $n = 11$ gives $1$ and $5$ respectively. So you can do a linear regression from basically any two $n$-values to find the solution to your equation. The left-hand side of your equation is roughly linear. How many of the $a_i$ are below $105$? How many of them are between $105$ and $210$? How many are between $210$ and $315$? How many multiples of $105$ do you have to go before you have (close to) $1000$ terms? From there it's basically trial and error.Īlternate solution, taken from the comments above. Also because the building would have 1000 floors, there would be a lot of waiting, so it would have been a better idea to split the building into zones, so the lift would be more efficient.I personally think this problem is easier to approach from a slightly more brute-force angle.

The design is really simple, and easy to use but may take some getting used to as its a bit different from a normal lift interface. The image shows the process of how the user would use the lift. The design was really simple and worked well, but we decided we wanted to go with a circular interface, instead of the typical rectangle one you would see in an average elevator.Ībove is the final design i did on illustrator. The image above, shows an interface jay designed to get the ball rolling. We definitely wanted the design to be very simple and easy to use, but it was pretty difficult as there were 1000 floors to the building. For the next presentation, it is expected that your solution should be printed out and mounted for presentation in a week, along with a digital presentation to the group.Īgain, to begin we did some quick sketches and a brainstorm, to decide what we wanted the interface to look like etc.

How the floors are displayed to those in the liftĬonsider all aspects of the design – using the heuristic principles you have been introduced to.

It is expected that you address at least the following: Design a lift for a skyscraper with 1000 floors.ĭon’t concentrate on a lift system, but center your ideas on a single lift that can travel from the ground floor to the 1000th floor.

The 1000th floor