Triangular tiling - Wikipedia
In geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane, and is the only such tiling where the constituent shapes are not parallelogons.
Triangular Grid -- from Wolfram MathWorld
2024年11月21日 · A triangular grid, also called an isometric grid (Gardner 1986, pp. 209-210), is a grid formed by tiling the plane regularly with equilateral triangles.
Triangle Grids - BorisTheBrave.Com
2021年5月23日 · With a triangle grid, you can have every vertex at a different height, and it’ll still work perfectly. Do the same with a square grid, and you immediately run into non-planar vertices. Sim City 2000 featured square grid and height maps.
TriangleGrid - BorisTheBrave.Com
TriangleGrid is a tiling of the plane with triangles. It supports both flat-topped and flat-sides varieties. The co-ordinate systems used are shown above - it uses three co-ordinates that always sum to 1 (for left and down pointing triangles) or 2 (for right or up pointing triangles). This scheme is explained more on my blog.
Triangular Grid Graph -- from Wolfram MathWorld
2024年11月21日 · The triangular grid graph is the lattice graph obtained by interpreting the order-triangular grid as a graph, with the intersection of grid lines being the vertices and the line segments between vertices being the edges.
geometry - Pick's Theorem on a triangular (or hex) grid
Find the area of the polygon on the triangular grid in the usual way using Pick's formula, but multiply by $\sqrt{3}$ and divide by 2. This works because each square can be mapped to a parallelogram comprised of two equilateral triangles, and the area of the parallelogram is $\frac{\sqrt{3}}{2}$.
Triangular grids on a torus - Mathematics Stack Exchange
2018年8月16日 · A triangular grid is a partitioning of the torus by three sets of parallel lines such that every vertex has degree $6$ and every face is a triangle. We may assume the lines to be horizontal, vertical, and of a rational slope if necessary.
Grid -- from Wolfram MathWorld
2024年11月21日 · The two most common types of grid are orthogonal grids, with two sets of lines perpendicular to each other (such as the square grid), and isometric grids, with three sets of lines at 60-degree angles to each other (such as the triangular grid).
Triangle grid paper | FREE Teaching Resources
Triangular grids build spatial reasoning in different ways than square ones: Encourages precision: Plotting points and drawing lines accurately is a bit trickier. Promotes creativity: The triangle base opens up tessellation art, unique grids, and more.
triangular grid - Wolfram|Alpha
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