This image is similar to my older Paper Sheets work but this one is without perspective and with few clips. 紙頁 紙張 工作表 普通紙與剪輯
I am very proud of this picture. For so long I've been trying to find a way to fit regular triangles into a square. I found that it works if I rotate the triangles just right. I also added the red green and blue triangles just to fill the extra space. 廣場 滿足 三角形 廣場滿足三角形
I made a discovery about regular triangles today. For a long time I've wondered, is it possible to create a regular triangle on a computer which has all of it's points exactly on an integer position. I finally succeeded in doing it with inkscape. I know almost nothing about the math behind angles. However, when creating lines with the path tool, inkscape displays the angle created by the current location relative to the first point of the line. For this I used a square grid. The ratio in pixels I found in the smallest triangle while one corner pointed straight up or down is. width/height 82/71 How I did this was first use inkscape's polygon tool to automatically create a regular triangle. Then I made a grid of squares with spacing of 1 pixel. Then I snapped one corner to a grid intersection. Then I tried to follow the triangle and see if it's sides ever crossed an intersection of the grid. And I was so amazed that it did, and since inkscape lets me automatically snap to the grid, I quickly made my own triangle path that looks like a really good regular triangle. I'm not sure if I can use this information for pixel art or not but it will be very useful for any vector editor with a square grid. I'm not sure if this discovery is correct according to geometry,algebra,trigonometry, or whatever other math I know nothing of, but it is at least a good way to approximate a regular triangle on a grid of squares. 定期 三角形 發現 正三角形發現
This is a special tessellation. All of the black and white triangles are a regular triangle cut in half. They are called 30-60-90 triangles 一半 定期 三角形 半正規三角形鑲嵌
An octogon and the two types of octograms inside it. I thought it was kinda special. Also, notice there are some irregular pentagons and pentagrams. 定期 八角 廣場 Octogon 和它的兩個朋友