Vogel’s model is closely related to the Fermat’s Spiral. Instead of continuously drawing the spiral curve, Vogel’s model draws dot in constant spacing. The constant space used in Vogel’s model
Fermat’s SpiralFermat’s Spiral
In a previous project, you drew Archimedean Spiral, in which radius increase linearly with the angle. In Fermat’s spiral, radius increases in proportion to the square root of the angle.
Golden SpiralGolden Spiral
In style similar to Fibonacci Spiral, draw the following Golden Spiral. Unlike Fibonacci tiling, the ratio between to successive squares is strictly golden ratio (1.61803398875). Please note that Golden Spiral
Fibonacci vs Golden Ratio TilingFibonacci vs Golden Ratio Tiling
Draw Fibonacci tiling and Golden Ratio Tiling in one canvas. Which one is Golden Ratio Tiling?
Golden Ratio TilingGolden Ratio Tiling
Golden Ratio is a number fib(n+1)/fib(n) will converge to, where fib(n) represents n-th fibonacci number. The value is (1+sqrt(5))/2 ≈ 1.61803398875. In similar style to fibonacci tiling, draw a golden
Fibonacci SpiralFibonacci Spiral
Continue with Fibonacci Tiling project to draw a curve called Fibonacci Spiral.
Fibonacci TilingFibonacci Tiling
Fibonacci sequence is a series of numbers with each number being the sum of previous two numbers. The first numbers are 1, 1. Here is the first 10 numbers in
Expanding Tilted Circles AnimatedExpanding Tilted Circles Animated
You drew an Expanding Tilted Circles in a previous project. Animate by rotating these circles with circles inside moving faster than circles outside.
Expanding Tilted CirclesExpanding Tilted Circles
You drew 60 tilted circles. Now draw fewer circles but with circles of expanding sizes. You can also add color to make it look better.
Zooming into Mandelbrot SetZooming into Mandelbrot Set
Let’s zoom into Mandelbrot Set and see what details it has. Each picture shows the x,y coordinates of the center and the radius.