Making a dice
Monday, 28 September 2009
In my IST class, we’re studying Modeling and Simulation, and started to make a model of a dice using Excel.
Thinking about it, the technique involved in making this would also be of interest to Maths teachers.
1. Analysis Toolpak
In Excel, make sure the Analysis Toolpak is installed.
2. Understand the RANDBETWEEN function
The RANDBETWEEN(bottom,top) function will return an integer between the bottom and top numbers everytime the worksheet is recalculated (by pressing F9 on Windows and Command + = on a Mac).
So, for a six sided dice, you'd want this formula in a cell:
=RANDBETWEEN(1,6)
3. Adding flexibility
But, we could make this more flexible. For starters, using references to other cells will allow the size of the dice to be changed easily.
| A | B | |
|---|---|---|
| 1 | Bottom: | 1 |
| 2 | Top: | 6 |
| 3 | Roll: | =RANDBETWEEN(B1,B2) |
4. Make it look nice
Making the number look nice is one thing, but a nice touch is to use dots.
| A | B | C | D | E | |
|---|---|---|---|---|---|
| 1 | Bottom: | 1 | |||
| 2 | Top: | 6 | |||
| 3 | Roll: | 5 | |||
| 4 | |||||
| 5 | • | • | |||
| 6 | • | ||||
| 7 | • | • |
Formulas:
- C5
=IF($B$3<>1,"•","")
- C6
=IF($B$3=6,"•","")
- C7
-
=IF($B$3>=4,"•","")
- D6
-
=IF(ISODD($B$3),"•","")
- E5
-
=IF($B$3>=4,"•","")
- E6
-
=IF($B$3>=4,"•","")
- E7
-
=IF($B$3>=2,"•","")
To make the dots appear, you need to set the font for those cells to Wingdings and insert the bullet symbol into the formulas.
Watch it in action:
5. Extensions
- Add sliders to adjust the bottom and top numbers.
- Change the variables from bottom/top to starting number and number of sides.
- Add a second dice.
See my earlier post Dice for a version with these extensions.
Download: 6 sided dice (XLS 20 KB)

Comments
Thanks this is quite nifty!
Nice use of excel in maths.
As an extension you could get students to play with the code to rig the dice. Could be some fun with probability.
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