Recently I saw an interesting Earth Venus cosmic dance video on Facebook. See the original video below or here.
Although this is not entirely accurate from physics & astronomy perspectives, the dance is a stunning example of patterns that are generated by simple things.
I wanted to recreate this cosmic dance in Excel. How else am I to get my spreadsheet fix on a Saturday?
Here is a quick demo of the final outcome. Read on to learn more about the Earth Venus cosmic dance.
The details & assumptions
To create this cosmic dance, we need a few details
- Distance from Sun to Venus & Earth – 67.2 and 93 million KM respectively
- Number of days it takes to rotate around the sun – 224.7 and 365.25 respectively
We will also assume these incorrect things to keep our model simple
- Orbits of Earth & Venus are circular with Sun at center: In reality, they are elliptical, but as these are just stretched circles, we can assume circular orbits to keep the math simple.
- Sun is static: In reality, Sun (and entire solar system) is also moving. This means, this cosmic dance may never occur.
We also need one critical detail to graph this cosmic dance:
- The angular interval for plotting the lines. In the above examples, I have used 10° (ie there will be 36 lines around the circle). This is denoted by named range m in the model. You can adjust this in the output worksheet using a form control. Different values of m yield different patterns (although most of them will be pentagonal).
The math:
Generating planetary co-ordinates:
In a table, we will generate the positions (X & Y co-ordinates) of both Venus & Earth for 3000 points in time, each incremented by m degrees, starting at 0°.
To generate the X & Y values, we will use the x=r.cos? and y=r.sin? equations (where r is the distance from Sun and ? is the angle).
Drawing the lines:
This is the tricky part. At each step in the animation our line should from one tooth of the saw tooth pattern. See this demo to understand.
For more about this technique read – interactive network chart to map relationships between people.
So during each step of the animation, we add more co-ordinates to the chart (scatter plot) to generate this saw tooth pattern. Over time, this will yield the beautiful pentagonal cosmic dance.
We can generate these successive Venus & Earth co-ordinates from the calculations performed earlier by using MOD & INDEX formulas.
Once such saw tooth line data is generated, we will designate a cell to hold current animation position. Let’s call this pos.
We will then create two named formulas – dance.x and dance.y. These will contain the data necessary for our scatter plot. We will use OFFSET formula to generate these dynamic named formulas.
The chart
Now that all the necessary calculations are done, create a scatter plot with the dance co-ordinates. Set up X & Y axis minimum and maximum values accordingly (-160 to 160 should do). This ensures that the chart remains same no matter what step of animation we are on.
Also, add 3 more series to the chart
- One for a dot to represent Venus at current position
- One for a dot to represent Earth at current position
- One for a line connecting Venus to Earth
The animation
Next, let’s add a small macro to animate the chart. This macro will increment pos from 1 to a large number. After each iteration, we will call DoEvents so Excel can re-draw the chart. That is all.
Download the Earth Venus dance workbook
Click here to download the Earth Venus cosmic dance workbook. Enable macros to enjoy the dance. Play with form control to adjust the animation speed and pattern. Examine the data tab to learn more about the calculations.
Did you enjoy the dance?
I really liked the original video on FB and that is why I recreated this in Excel. This is a great exercise to show the power of simple things generating extraordinary patterns.
What about you? Do you like this Earth Venus dance?
More Excel animation and fun:
If you like animating things, you are going to love these tutorials. Check out,
28 Responses to “FIFA Worldcup 2018 Excel Tracker – FREE Download”
Good work as always - I liked the way you did the "menu" on the left hand side (although the buttons aren't lined up between tabs if I'm being ultra picky)
Have you previously written about the method of extracting the Wikipedia page into Power Query? It's not something I recall seeing before.
ps other geeky observsations:
- the bracket columns are too narrow for the date & match number - and will need to be wider still when the team names get populated
- match 51 should be Moscow (Luzhniki) for consistency
- it's not possible to be 23 hours ahead of GMT - the International Dateline gets in the way! I think the maximum is 14. There are also a couple of countries who work to a quarter hour to make it really complicated!
- There's a typo in the how-to - "compated" instead of compared
Thanks for the lovely feedback. I have fixed almost all of them.
1) button alignment: this is tricky as row heights can change between sheets.
2) Column width is fixed now so bracket view looks better
3) Updated the stadium name
4) Did not bother with the 23 hours ahead thingie. This is more of a novelty feature 😛
5) Fixed the type
6) Fixed an issue with live score table. This should work as long as the points table is maintained in wikipedia page - https://en.wikipedia.org/wiki/2018_FIFA_World_Cup
7) I have not discussed the technique of reading all tables on webpage to one big table. Watch out for a blog post on this soon.
Button alignment is one for the ultra-OCD sufferers 😉 There are ways, but only for those with too much time on their hands.
Aah, Excel. The perfect tool for people like us. Everything (cells) is in same shape and size by default and aligned perfectly. 😀
Is there actually a way to copy row heights (in the same way you copy column widths?)
By the way Chandoo, great post. I'm forwarding to my department. I actually use another query from the same page to automatically fill in the team names for the knock-out stages (I made one for round of 16 which I then duplicated and edited for quarter-finals etc.) This is incredible, I was always wondering how to do these type of queries from the web, and now I know 🙂
Hello!
This is quite amazing and incredibly cool to use 🙂
Testing the constraints of this sheets a few errors popped I noticed:
- Vlookup Group E-H refers to column J instead of E (eg. Brazil gets the same points as Russia because the formula looks up Russia twice)
- Power query only has 29 lines, the overview of has 32 but the 3 countries from group A are lost as the overview is refreshed - causing N/A in the group stage colums
@Jake.. thank you. I am sorry for the errors. I could not test the live points table until the games began. I see my folly now. I have fixed both issues and uploaded a new file. As the points table relies on a wikipedia page, if someone decides to change the layout or rename a column it can seriously harm this template. I took some precautions in the Power Query layer to adjust column names dynamically etc, but it is not foolproof.
Try downloading the newer version and let me know if you see something funny.
No worries!
Was able to fix the vlookup myself but the power query had me bit stumped 🙂 And wanted to give you a heads-up to everyone can enjoy it!
Thanks for the awesome sheet!
Hi,
Thanks for sharing this world cup tracker. Certainly makes it more interesting when the data is current. As a newbie, it also helps to have a couple of mistakes to find whether unintentional or not.
Thanks again
Hi,
Your v-lookups in the "Group Stage" tab for groups E, F, G, and H (all the ones under column O) are pointing to the wrong country. They all point to column J, so whatever happens to the countries in column J will also be reflected for the countries in the groups in column O for that same row.
Just thought I'd call that out. Thanks for the great work on this!
@Christian... Thanks for trying this and letting me know about lookups. I have fixed the issue now. Please download latest version for that and few more fixes.
Refresh All did not work correctly. Team names vanished though points were updated.
@Sheeloo... Can you please try with latest version (download again using above links). I tested up to latest Iran's stunning win over Morocco and it works.
Dear Chandoo
Thanks a lot for this worksheet.
However, while refreshing the data, I am getting error message as "Initialisation of Data Source failed".
May I know what version of Excel you are using? Do you have internet connectivity? If you are familiar with Power Query, try tracing the steps in the query editor. And oh, first start with the latest version of file (link above).
@Etienne - yes. Copy row, paste formats will do it, although obviously that will bring the formats of every cell in the row as well as the height.
Latest version seems to be working well.
One request: the Groups & Points tables on the Group Stage sheet have the team names pre-entered. This means they don't get sorted according to the results.
On my copy, I've changed them to a lookup, so they appear in the same order as the points table. It would be good if you can do the same if/when you release a new update!
Here's what I did. It's not the most elegant, but it works, and I didn't have much time to spend on it!
Using helper values of 1,2,3,4 in columns I and N for each group, the formula for the first team name in group A (cell J4) is:
=INDEX(points[Team],MATCH(OFFSET(J4,-(I4),0),points[Group],0)+(I4-1))
This can be copied & pasted to the other team name cells.
Cheers!
Good suggestion. I have made changes to the points table to remove lookups and just show teams in the order they appear in the detailed table. This way, You will see top two teams on first two rows. We could highlight them as well (figured this would make it look like a bowl of M&Ms, so didn't bother) or highlight *YOUR* team.
I consider my Excel skills as above average but far from guru and I love how your little projects like this get me to look at data in a new way. I would like to expand on the data in the points table through the use of some calculations but I am a little challenged by the data coming across as text. The Pts column is easy to deal with, but I'm having problems with the GD. The negative goal differential looks like it may be noted with an en dash instead of a minus sign, but if I search for an en dash in the data Excel doesn't find any. I would like to include conversion to a minus sign in my little macro so I can get everything to numbers but so far I am not having any luck. Any thoughts? Thanks for your help.
Thanks for such kind words 🙂
I suggest adding an extra step in Power Query to convert points, GD & other columns to numbers. You can replace em dash in PQ. I did not do it as this will add another layer of dependency and should the wikipedia page change, one more reason for the query to fail.
As always, an awesome spreadsheet from Chandoo. I love the Power Query score update without macros. The country watch-out is a unique feature as well!
For those who like a predictor template with flag lookup and a ribbon UI, here is our spreadsheet:
https://www.spreadsheet1.com/fifa-world-cup-2018-russia-free-prediction-templates-for-excel.html
Here is our World Cup 2022 template with LAMBDA functions:
https://www.spreadsheet1.com/fifa-world-cup-2022-qatar-free-prediction-templates-for-excel.html
[…] Interesting World Cup Tracker here at chandoo.org : https://chandoo.org/wp/fifa-worldcup-2018-tracker/ […]
Great template!
I came across another one with image vlookups for country flags
https://eexcel.co.uk/downloads (World_Cup_2018_Sweepstake.xlsx)
This is a great Template.
I am running Excel 2010 with the PowerQuery add-in running.
The scores will not update, so I followed the error and the second operation (Fitlered rows) says that the table is empty.
After a few minutes on Wikipedia, I realise that my PowerQuery skills are not good enough to work out what the issue is.
Any suggestions?
I would like to fix it myself is possible.
Thanks,
Sean.
@Sean... Can you try the latest version mate? I think it should work.
Where can I see the results for a specific match?
Thanks!
@Juan... You can now. I have included a results tab that shows match scores. This too is a live table. Just refresh data to get new results. Please download latest version file from links above to use this feature.
PS: There is another version coming soon with all goals too. I just have to spend some more time polishing the Json to table Power Query thingie.