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Venn Diagrams

Tuesday Twister #16 – More Venn Challenges

October 1st, 2015 by John Lehet

Today’s Twister is a follow on to #14 and #15. Venn diagrams is again the theme, but this time you’re given a set and you have to select ALL of the areas of the Venn diagram to which it corresponds. There are two sets, A and B. Each displayed set is a combination of these two sets using Complement, Union or Intersection. It important to realize that one or more areas may be selected, by clicking in the desired area (selected areas are in orange). If you want to deselect an area, just click a selected orange area and it will return to it’s original color. Finally, the blue area can be selected – it corresponds to being outside of both sets A AND B.

Here’s a quick review of basic set concepts:
– the INTERSECTION of two sets is the area they have in common
– the UNION of two sets is their entire area
– the COMPLEMENT of a set is the area outside the set


In a two-set Venn diagram, there are four areas that can be selected.
1. the area outside of both sets A and B (the blue area)
2. the area in the middle (the “football shape” in both sets A and B)
3. the area in set A, but not in set B (the yellow moon shape on the left)
4. the area in set B, but not in set A (the yellow moon shape on the right)


When you have selected all of the areas for the set, select the Check button to check your solution. When successfully completed, a New Game button will appear so you can play again. You can always select the Reset button to reset the game to the start.

Good luck with the puzzles. Have fun and I hope they help you to better understand and master two set Venn diagrams!

Tuesday’s Twister #15 – Venn – 3 Sets

September 22nd, 2015 by John Lehet

“Logic is the beginning of wisdom, not the end.” – Leonard Nimoy

Today’s Twister is a follow on to #14. Venn diagrams is again the theme, but this time it’s with three sets. I have created another interactive game that will help you understand and master Venn Diagrams with three sets. As last time, let’s start by quickly reviewing three set Venn Diagrams. In each puzzle, there will be three big circles (outlined in black). There is a circle on the top left, a circle on the top right and a circle on the bottom. The circle on the left will contain objects of a selected shape – either Circle, Square or Triangle. The circle on the right will contain objects with 0, 1 or 2 holes. The circle to the bottom will contain objects of a selected color – Red, Blue or Green. To the left of the Venn diagram, there are 27 objects. All you have to do is cover each dot in the Venn diagram with a shape. Unlike the last puzzle, there will be a number of shapes left over (exactly 15) and a dot may possibly be correctly covered by multiple shapes.

To move a shape, first click on it and it will be outlined with a star in its center. Then click the black dot to which you want to move the shape. This will move the shape. If you want to return a moved shape, just click it and it will return to the bottom area. When all of the objects are placed, then a Check button will appear that allows you to check your solution. When successfully completed, a New Game button will appear so you can play again.

Good luck with the puzzles. Have fun and I hope they help you to better understand and master two set Venn diagrams. My next twister will be a three set Venn diagram – which will be even more challenging!