# A4square

**Repository Path**: zhaohuidu/a4square

## Basic Information

- **Project Name**: A4square
- **Description**: No description available
- **Primary Language**: C
- **License**: GPL-2.0
- **Default Branch**: master
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 1
- **Forks**: 1
- **Created**: 2021-01-01
- **Last Updated**: 2021-07-06

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

[A4正方形问题](https://bbs.emath.ac.cn/thread-17548-1-1.html)是一个讨论如何用标准A4纸$1\times \sqrt{2}$裁剪出n个尽量大的全等正方形问题。

[摘要信息](https://blog.emath.ac.cn/a4zhengfangxing/)
26个正方形:
![a26](img/a26.png)

112个正方形:
![a112](img/a112.png)

| n |模式|边长| 参考图片|
|---|----|-----|--------|
| 1 |1*  1|1|
|2 | 1*  2 |0.707107|
|3|[2* 2-2+1=2* 2-1](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86433&fromuid=20)|0.5|![a3](img/a3.png)|
|4|2* 2|0.5|
|5|2* 3-1|0.471405|
|6|2* 3|0.471405|
|7|[2* 3+1](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86444&fromuid=20)|0.376385|![a7](img/a7.png)|
|8|2* 4|0.353553|
|9|[3* 4-3](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86457&fromuid=20)|0.333333|
|10|[3* 4-2](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86457&fromuid=20)|0.333333|![g10](img/g10.png)|
|11|[3* 4-1](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86457&fromuid=20)|0.333333|
|12|[3* 4](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86457&fromuid=20)|0.333333|
|13|[3* 4-2+3](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86598&fromuid=20)|0.289245|![g13](img/g13.png)|
|14|3* 5-1|0.282843|
|15|3* 5|0.282843|
|16|[3* 5-1+2](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86600)|0.257981|![g16](img/g16.png) ![g16.2](img/g16.2.png)|
|17|[3* 5-3+5](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86605)|0.252910|![g17](img/g17.png)|
|18|4* 5-2|0.25|
|19|4* 5-1|0.25|
|20|4* 5|0.25|
|21|[4* 5-2+3](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86710&fromuid=20)|0.236625|![g21](img/g21.png)|
|22|4* 6-2|0.235702|
|23|4* 6-1|0.235702|
|24|4* 6|0.235702|
|25|[4* 6-2+3](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86596)|0.211521|![g25](img/g25.png)|
|26|[4* 6+2](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=87138&fromuid=20)|0.211509|![g26](img/g26.png)|
|27|[4* 6-8+11](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=87005&fromuid=20)|0.207106|![g27](img/g27.png)|
|28|4* 7|0.202031|
|29|5* 7-6|0.2|
|30|5* 7-5|0.2|
|31|5* 7-4|0.2|
|32|5* 7-3|0.2|
|33|5* 7-2|0.2|
|34|5* 7-1|0.2|
|35|5* 7|0.2|
|36|[5* 7-1+2](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86672&fromuid=20)|0.180396|
|37|[5* 7-3+5](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86711&fromuid=20)|0.180378|
|38|5* 8-2|0.176777|
|39|5* 8-1|0.176777|
|40|5* 8|0.176777|
|41|[5* 8-1+2](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86672&fromuid=20)|0.168771|
|42|[5* 8-3+5](https://bbs.emath.ac.cn/forum.php?mod=redirect&goto=findpost&ptid=17548&pid=86719&fromuid=20)|0.168446|![g42](img/g42.png)|
|43|6*8-5|0.166667|
|44|6*8-4|0.166667|
|45|6*8-3|0.166667|
|46|6*8-2|0.166667|
|47|6*8-1|0.166667|
|48|6*8|0.166667|
|49|[Cm 6*8-4+5](https://bbs.emath.ac.cn/forum.php?mod=viewthread&tid=17548&page=10#pid86740)|0.158091|![g49](img/g49.png)|
|50|[Cm2 6*8-4+6](https://bbs.emath.ac.cn/forum.php?mod=viewthread&tid=17548&page=10#pid86740)|0.158019|![g50](img/g50.png)|
|51|6*9-3|0.157135|
|52|6*9-2|0.157135|
|53|6*9-1|0.157135|
|54|6*9|0.157135|
|55|Cm 6*9-4+5|0.147191|
|56|[Cm 6*9-4+6](https://bbs.emath.ac.cn/forum.php?mod=viewthread&tid=17548&page=16#pid87164)|0.147191|![g56](img/g56.png)|
|57|[6*9+3](https://bbs.emath.ac.cn/forum.php?mod=viewthread&tid=17548&page=15#pid87146)|0.147081|![g57](img/g57.png)|
|58|[Va](https://bbs.emath.ac.cn/forum.php?mod=viewthread&tid=17548&page=18#pid87298)|0.144263|![g58](img/g58.png)|
|59|[Va](https://bbs.emath.ac.cn/forum.php?mod=viewthread&tid=17548&page=19#pid87355)|0.144263|
|60|7*9-3|0.142857|