Learning and geometry
Isometric drawing, orthographic three-view drawing and oblique projection
Isometric, third-angle and oblique: one scale serves all three axes, but circles become ellipses
This drawing comes from one YAML file. No shape was moved by hand.
Notes in the source (in Japanese)
等角図は、3 方向を同じ物差しで測れる。 だから「等角」。
軸のあいだは 120°、2 本は水平から 30°。ただし円は楕円になる。
第三角法(日本・JIS)は「見た側へ置く」—— 上から見た図は上、右から見た図は右。斜投影は正面を実寸のまま描き、奥行きを 1/2 に縮める(実寸だと太って見える)。
Source (YAML)
examples/gallery/197-等角図と三面図.zumen.yaml
More in this field
Ray tracing through a convex lens: there are only three lines to draw, and two of them fix the image
A football is a truncated icosahedron: the 12 degrees missing at every vertex are what make it a sphere
Braille has only six dots, so “a” and “1” are the same shape until a number sign says otherwise
Slope notation: roofs in sun, ramps in fractions, roads in percent, railways in per mille — degrees are the minority
Honeycomb cells: for a given area the hexagon has the shortest wall of any shape that tiles
Ruler-and-compass constructions: no scale is used, because equal compass openings make equal lengths
Figures in maths problems: the marks carry the meaning — equal ticks, right-angle squares, parallel chevrons — and only the given values are written on the figure
Two set squares come as a pair because two of them make ten angles in 15-degree steps, where one alone makes only four