diff --git a/public/js/webgl-book-shape-lab.js b/public/js/webgl-book-shape-lab.js
index 63f51e0..d75111f 100644
--- a/public/js/webgl-book-shape-lab.js
+++ b/public/js/webgl-book-shape-lab.js
@@ -68,11 +68,12 @@ const OPEN_SEAM_GAP = 0.003;
const PAGE_COUNT_MIN = 40;
const PAGE_COUNT_STEP = 10;
const PAGE_WIDTH = 1.62;
+const PAGE_SPLINE_LENGTH = 1.955;
+const PAGE_LINE_SEGMENTS = 24;
const PAGE_DEPTH = 2.24;
const COVER_OVERHANG = 0.13;
const COVER_SUPPORT_OVERHANG = 0.055;
const HINGE_INSET = 0.07;
-const MAX_SUPPORTED_STACK_RISE = PAGE_WIDTH * 0.5;
const SUPPORT_ANGLE_STEPS = 720;
const SUPPORT_ANGLE_CANDIDATES = Array.from({ length: SUPPORT_ANGLE_STEPS }, (_, sample) => {
const angle = sample / SUPPORT_ANGLE_STEPS * Math.PI * 2;
@@ -208,17 +209,19 @@ function rebuildBook() {
const coverDepth = 2.30;
const coverThickness = BOOK_PROFILE.coverThickness;
const pageWidth = PAGE_WIDTH;
+ const pageSplineLength = PAGE_SPLINE_LENGTH;
const pageDepth = PAGE_DEPTH;
const bundleCount = Math.max(4, Math.round(pageCount / 10));
const spineWidth = calculateSpineWidth(bundleCount);
const leftCount = calculateLeftBundleCount(bundleCount);
const hingeX = spineWidth * 0.5 + HINGE_INSET;
+ const foreEdgeX = spineWidth * 0.5 + pageWidth;
const bundleSpacing = calculateBundleSpacing(bundleCount, spineWidth, leftCount);
activeSpineHalf = spineWidth * 0.5;
- const lines = simulatePageLines(bundleCount, pageWidth, spineWidth, hingeX, bundleSpacing, leftCount);
- lastLengthError = measureLineLengthError(lines, pageWidth);
+ const lines = simulatePageLines(bundleCount, pageWidth, pageSplineLength, spineWidth, foreEdgeX, bundleSpacing, leftCount);
+ lastLengthError = measureLineLengthError(lines, pageSplineLength);
lastSpacingError = measureStackSpacingError(lines, bundleSpacing);
- lastBookModel = { coverDepth, pageWidth, pageDepth, bundleCount, spineWidth, hingeX, bundleSpacing, lines };
+ lastBookModel = { coverDepth, pageWidth, pageSplineLength, pageDepth, bundleCount, spineWidth, hingeX, foreEdgeX, bundleSpacing, lines };
addCoverAssembly(pageWidth, coverDepth, coverThickness, spineWidth);
addClothSpine(pageDepth, spineWidth);
@@ -244,7 +247,7 @@ function addCoverAssembly(pageWidth, depth, thickness, spineWidth) {
function createCoverAssemblyGeometry(pageWidth, depth, thickness, spineWidth) {
const spineHalf = spineWidth * 0.5;
const hingeX = spineHalf + HINGE_INSET;
- const outerX = hingeX + pageWidth + COVER_OVERHANG;
+ const outerX = spineHalf + pageWidth + COVER_OVERHANG;
const outerTopY = BOOK_PROFILE.tableY + thickness;
const connectionTopY = BOOK_PROFILE.raisedHingeY;
const spineTopY = BOOK_PROFILE.tableY + thickness;
@@ -380,9 +383,13 @@ function calculateMaximumPageCount() {
function isBundleCountReachable(bundleCount) {
const spineWidth = calculateSpineWidth(bundleCount);
const bundleSpacing = calculateBundleSpacing(bundleCount, spineWidth, bundleCount);
+ const foreEdgeX = spineWidth * 0.5 + PAGE_WIDTH;
+ const target = restingTarget(1, foreEdgeX, bundleCount - 1, bundleCount, bundleSpacing);
const anchor = spineCurvePoint(1, spineWidth);
- const topLineY = BOOK_PROFILE.coverThickness + BOOK_PROFILE.paperContactOffset + (bundleCount - 1) * bundleSpacing;
- return topLineY - anchor.y <= MAX_SUPPORTED_STACK_RISE;
+ const chordLength = Math.hypot(target.x - anchor.x, target.y - anchor.y);
+ const solverSlack = PAGE_SPLINE_LENGTH - chordLength;
+ const minimumSlack = PAGE_SPLINE_LENGTH / (PAGE_LINE_SEGMENTS + 1);
+ return solverSlack >= minimumSlack;
}
function calculateBundleSpacing(bundleCount, spineWidth, leftCount) {
@@ -408,10 +415,10 @@ function calculateLeftBundleCount(bundleCount) {
return THREE.MathUtils.clamp(Math.round(bundleCount * readingProgress), 0, bundleCount);
}
-function simulatePageLines(bundleCount, pageWidth, spineWidth, hingeX, bundleSpacing, leftCount) {
+function simulatePageLines(bundleCount, pageWidth, pageSplineLength, spineWidth, foreEdgeX, bundleSpacing, leftCount) {
const lines = [];
- const segments = 24;
- const stepLength = pageWidth / segments;
+ const segments = PAGE_LINE_SEGMENTS;
+ const stepLength = pageSplineLength / segments;
const entries = [];
const spineArc = buildSpineArcSamples(spineWidth);
const rightCount = bundleCount - leftCount;
@@ -452,7 +459,7 @@ function simulatePageLines(bundleCount, pageWidth, spineWidth, hingeX, bundleSpa
let lowerLine = null;
sideEntries.forEach((entry, rank) => {
const anchor = spineCurvePoint(entry.t, spineWidth);
- const target = restingTarget(side, pageWidth, hingeX, rank, sideEntries.length, bundleSpacing);
+ const target = restingTarget(side, foreEdgeX, rank, sideEntries.length, bundleSpacing);
const points = buildSupportSolvedLine(anchor, target, lowerLine, side, segments, stepLength, bundleCount, bundleSpacing);
const line = { index: entry.index, t: entry.t, side, anchor, points, endpoint: points[points.length - 1], isHairPage: entry.isHairPage === true };
lines.push(line);
@@ -540,10 +547,10 @@ function initialPageLine(anchor, target, segments) {
return points;
}
-function restingTarget(side, pageWidth, hingeX, rank, sideCount, bundleSpacing) {
+function restingTarget(side, foreEdgeX, rank, sideCount, bundleSpacing) {
const local = sideCount <= 1 ? 0 : rank / (sideCount - 1);
const foreCurve = 0.11 * Math.sin(Math.PI * local);
- const x = side * (hingeX + pageWidth - foreCurve);
+ const x = side * (foreEdgeX - foreCurve);
const y = BOOK_PROFILE.coverThickness + BOOK_PROFILE.paperContactOffset + rank * bundleSpacing + 0.002 * Math.sin(Math.PI * local);
return { x, y };
}
@@ -824,7 +831,7 @@ function coverTopYAtX(x) {
const ax = Math.abs(x);
const spineHalf = currentSpineHalf();
const hingeX = spineHalf + HINGE_INSET;
- const outerX = hingeX + PAGE_WIDTH + COVER_SUPPORT_OVERHANG;
+ const outerX = spineHalf + PAGE_WIDTH + COVER_SUPPORT_OVERHANG;
if (ax <= spineHalf) return BOOK_PROFILE.coverThickness;
if (ax <= hingeX) {
const t = (ax - spineHalf) / (hingeX - spineHalf);
diff --git a/public/webgl-book-shape-lab.html b/public/webgl-book-shape-lab.html
index 0238ebb..f48a61b 100644
--- a/public/webgl-book-shape-lab.html
+++ b/public/webgl-book-shape-lab.html
@@ -74,6 +74,6 @@
-
+