Parallelogram 33 • Level 1 • 18 Apr 2024Weird shapes
Noun: Parallelogram Pronunciation: /ˌparəˈlɛləɡram/
- a portmanteau word combining parallel and telegram. A message sent each week by the Parallel Project to bright young mathematicians.
- Tackle each Parallelogram in one go. Don’t get distracted.
- Finish by midnight on Sunday if your whole class is doing parallelograms.
- Your score & answer sheet will appear immediately after you hit SUBMIT.
- Don’t worry if you score less than 50%, because it means you will learn something new when you check the solutions.
1. The Klein Bottle
Watch this video where mathematical treasure, Cliff Stoll, shows us a very unusual shape. He actually stores hundreds of these shapes under his house!
(If you have problems watching the video, right click to open it in a new window)1.1 Who was the Klein bottle named after?
- Felix Klein
- Calvin Klein
- Eine Kleine Nachtmusik
- Albert Kleinstein
- (Not answered)
1.2 What spatial dimension does the Klein bottle exist in?
- 2D
- 3D
- 4D
- 5D
- (Not answered)
1.3 How many edges does a Klein bottle have?
- None
- 1
- 4
- Infinite
- (Not answered)
1.4 Two equally sized triangles have 6 edges in total.
If they are glued together to form a new shape how many edges would it have?
Correct Solution: 4
2. Some curious puzzles
2.1 Think of a positive number, multiply it by 5, add 1, double what you have, take away 2, and divide by the number you first thought of.
What answer did you get?
- 5
- 10
- 12
- 15
- can't tell
- (Not answered)
Regardless of what number you thought of in to begin with, the answer will be 10.
Try it on your friends!
2.2 How many regular hexagons are in this diagram?
- 1
- 4
- 7
- 8
- 12
- (Not answered)
Before you hit the SUBMIT button, here are some quick reminders:
- You will receive your score immediately, and collect your reward points.
- You might earn a new badge... if not, then maybe next week.
- Make sure you go through the solution sheet – it is massively important.
- A score of less than 50% is ok – it means you can learn lots from your mistakes.
- The next Parallelogram is next week, at 3pm on Thursday.
- Finally, if you missed any earlier Parallelograms, make sure you go back and complete them. You can still earn reward points and badges by completing missed Parallelograms.
Cheerio, Simon and Ayliean.