Variations on the Hermann grid

The Hermann grid is the prototypical example of the extinction illusion. Here we build a small variation of Figure 5 from Ninio and Stevens’s Variations on the Hermann Grid: An Extinction Illusion. There are equally many points on either half of the image: the animation simply moves the points vertically.

import { svg as _svg } from "/src/cscheid/cscheid.js";

{
    var svg = d3.select("#main")
        .append("svg")
        .attr("width", 600)
        .attr("height", 600);

    function addLineGrid(parent)
    {
    return parent.append("g")
        .selectAll("line")
        .data(d3.range(-5, 20))
        .enter()
        .append("line")
        .attr("x1", -300)
        .attr("x2", 900)
        .attr("y1", d => d * 40)
        .attr("y2", d => d * 40)
        .attr("stroke", "gray")
        .attr("stroke-width", "5px");
    }

    // ugly
    addLineGrid(svg).attr("transform", "translate(320, 320) rotate(90)  translate(-320, -320)");
    addLineGrid(svg).attr("transform", "translate(320, 320) rotate(30)  translate(-320, -320)");
    addLineGrid(svg).attr("transform", "translate(320, 320) rotate(150) translate(-320, -320)");

    function addPoints(parent)
    {
    return parent.append("g")
        .selectAll("circle")
        .data(d3.range(-1, 16))
        .enter()
        .append("circle")
        .attr("r", "5px")
        .attr("fill", "black")
        .attr("stroke", "white")
        .attr("cx", 0)
        .attr("cy", d => d * 40 / (Math.sqrt(3) / 2));
    }

    var gap = 40/(Math.sqrt(3)/2);

    var left = svg.append("g").selectAll("g").data(d3.range(4))
        .enter().append("g")
        .attr("transform", d => _svg.translate(40 + 80 * d, -3))
        .call(addPoints);

    var right = svg.append("g").selectAll("g").data(d3.range(4))
        .enter().append("g")
        .attr("transform", d => _svg.translate(560 - 80 * d, -3+gap))
        .call(addPoints);

    function moveLeft()
    {
    left.transition()
        .delay(1500)
        .duration(1500)
        .attr("transform", d => _svg.translate(40 + 80 * d, -3+gap/2))
        .transition()
        .delay(1500)
        .duration(1500)
        .attr("transform", d => _svg.translate(40 + 80 * d, -3))
        .on("end", moveLeft);
    }

    function moveRight()
    {
    right.transition()
        .delay(1500)
        .duration(1500)
        .attr("transform", d => _svg.translate(560 - 80 * d, -3+3*gap/2))
        .transition()
        .delay(1500)
        .duration(1500)
        .attr("transform", d => _svg.translate(560 - 80 * d, -3+gap))
        .on("end", moveRight);
    }

    moveLeft();
    window.setTimeout(moveRight, 750);

}

Acknowledgements

I found out about the static version of this illusion on twitter.