Difference between revisions of "Topology and Geometry"
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Starting from lecture 1<ref>{{:Lecture:Topology and Geometry}}</ref> of this course, we have realized that Mobius strip is a very powerful mathematical ideas. --[[User:Benkoo|Benkoo]] ([[User talk:Benkoo|talk]]) 03:35, 18 July 2021 (UTC) | Starting from lecture 1<ref>{{:Lecture:Topology and Geometry}}</ref> of this course, we have realized that Mobius strip is a very powerful mathematical ideas. --[[User:Benkoo|Benkoo]] ([[User talk:Benkoo|talk]]) 03:35, 18 July 2021 (UTC) | ||
Mobius strip is a strip twist by one or more times. One twist is equal to <math>180^o</math>. | Mobius strip is a strip twist by one or more times. One twist is equal to <math>180^o</math>. | ||
Before the strip becomes a Mobius strip, it can be divided into two sides. We will name it red and blue. After you twist the strip and turn it into a Mobius strip. If the Mobius strip has an odd twist the blue part will be connected to the red part. If you have an even twist, the blue part will be connected to the blue, and the red will be connected to red. If you start to cut the middle for the blue part and the red part of the Mobius strip you will get to different kinds of outcomes: | Before the strip becomes a Mobius strip, it can be divided into two sides. We will name it red and blue. After you twist the strip and turn it into a Mobius strip. If the Mobius strip has an odd twist the blue part will be connected to the red part. If you have an even twist, the blue part will be connected to the blue, and the red will be connected to red. If you start to cut the middle for the blue part and the red part of the Mobius strip you will get to different kinds of outcomes: | ||
Revision as of 13:16, 18 July 2021
This is a course that Henry and Ben are studying during 2021.
Starting from here, is a transcluded page
Starting from lecture 1[1] of this course, I realized that Mobius strip is a very powerful mathematical ideas. --Benkoo (talk) 03:35, 18 July 2021 (UTC)
This is a subsection of the discussion
This is a statement, designed to show that topological structures also shows up in the editing process of MediaWiki. I am now editing in Dicussion.
lecture 1
Starting from lecture 1[2] of this course, we have realized that Mobius strip is a very powerful mathematical ideas. --Benkoo (talk) 03:35, 18 July 2021 (UTC)
Mobius strip is a strip twist by one or more times. One twist is equal to . Before the strip becomes a Mobius strip, it can be divided into two sides. We will name it red and blue. After you twist the strip and turn it into a Mobius strip. If the Mobius strip has an odd twist the blue part will be connected to the red part. If you have an even twist, the blue part will be connected to the blue, and the red will be connected to red. If you start to cut the middle for the blue part and the red part of the Mobius strip you will get to different kinds of outcomes:
1. The Mobius strip has an odd twist so you will get a bigger Mobius strip
2. The Mobius strip has an even twist then you will get two Mobius strips. (that has the same length and same number of twists as the Mobius strip before you cut)
In Topology and Geometry There are three-point to remember. 1.There is so much more to mathematics than numbers and formulas. (For example, there is pictorial thinking)
2. Always draw pictures whenever you work on mathematics.
3. There is so much more to pictures than photos of objects.
In Topology and geometry, you should learn to see and draw things that can't be seen physically. Ex. (For example) Mobius strip, when you are doing the experiment of cutting the Mobius strip yes if you didn't draw it out you still will know what will happen but if you draw it out it will let you more Easier to understand what is happening.
lecture 2
lecture 3
lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Lecture 14
Lecture 15
Please go to the following page for more detail: Lecture:Topology and Geometry 3.
Also, we should make proper reference[3], and it will show at the Reference section.
References
- ↑ Tokieda, Tadashi (12 May 2014). Topology and Geometry. 1/15. local page: African Institute of Mathematical Sciences.
- ↑ Tokieda, Tadashi (12 May 2014). Topology and Geometry. 1/15. local page: African Institute of Mathematical Sciences.
- ↑ Tokieda, Tadashi (12 May 2014). Topology and Geometry. 3/15. African Institute of Mathematical Sciences.