First, I disassemble a corrugated paper box and draw a design draft:
Here is what I have already known:
- Max length (A+B+C+D) of corrugated paper.
- A is equal to tablet height.
At first, I just let b (length of B) = c (length of C) = d (length of D) = (total length – tablet height) / 3. Then I get a stand with 60° view angle according to an equilateral triangle.
How to customize θ? I decide to let b = c to make it a Isosceles triangle.
Based on Pythagorean theorem, I get d = 2b * cosθ or use the formula below:
You need a scientific calculator which supports trigonometric functions here. Because my Sony Xperia C3‘s build-in calculator doesn’t support Inverse trigonometric functions, I decide to install Google Calculator after reading 10 best calculator apps for Android on Android Authority.
If you want to calculate θ with a given d, you need to use inverse trigonometric functions. In some calculators, there is a Inv (inverse) button to help you switch from sine to arcsine (or sin¯¹(x)) and vice versa. But in Google Calculator, you need to tap and hold for about 0.5 second. It enters the inverse trigonometric function automatically as below:
My Tablet Stand
- Android Authority: 10 best calculator apps for Android
- Google play: Calculator
- Sony: Xperia C3 Specifications
- Wiki: Corrugated fiberboard
- Wiki: Degree (angle)
- Wiki: Equilateral triangle
- Wiki: Inverse trigonometric functions
- Wiki: Isosceles triangle
- Wiki: Pythagorean theorem
- Wiki: Radian
- Wiki: Scientific calculator
- Wiki: Trigonometric functions