Merge pull request #215 from EmperorArthur/update_wall_profile

Auto-Calculate Stacking Lip Fillet

docs/constants.md

@@ -17,7 +17,7 @@ r_hole2| magnet hole radius
 d_hole| center-to-center distance between holes
 h_hole| magnet hole depth
 h_slit| slit depth (printer layer height)
-r_f1| top edge fillet radius
+STACKING_LIP_FILLET_RADIUS| top edge fillet radius
 r_f2 | internal fillet radius
 d_div | width of divider between compartments
 d_wall| minimum wall thickness

generic-helpers.scad

@@ -161,6 +161,18 @@ function affine_translate(vector) = [
     [0, 0, 0, 1]
 ];
 
+/**
+ * @brief Affine transformation matrix equivalent of `scale`
+ * @param vector @see `scale`
+ * @returns An affine transformation matrix for use with `multmatrix()`
+ */
+function affine_scale(vector) = [
+    [vector.x, 0, 0, 0],
+    [0, vector.y, 0, 0],
+    [0, 0, vector.z, 0],
+    [0, 0, 0, 1]
+];
+
 /**
  * @brief Create a rectangle with rounded corners by sweeping a 2d object along a path.
  *        Centered on origin.

gridfinity-rebuilt-bins.scad

@@ -9,14 +9,18 @@ include <gridfinity-rebuilt-utility.scad>
  comments like ' //.5' after variables are intentional and used by the customizer
  examples at end of file
 
- BIN HEIGHT
+ #BIN HEIGHT
- the original gridfinity bins had the overall height defined by 7mm increments
+ The original gridfinity bins had the overall height defined by 7mm increments.
- a bin would be 7*u millimeters tall
+ A bin would be 7*u millimeters tall with a stacking lip at the top of the bin (4.4mm) added onto this height.
- the lip at the top of the bin (3.8mm) added onto this height
  The stock bins have unit heights of 2, 3, and 6:
- Z unit 2 -> 7*2 + 3.8 -> 17.8mm
+ * Z unit 2 -> 7*2 + 4.4 -> 18.4mm
- Z unit 3 -> 7*3 + 3.8 -> 24.8mm
+ * Z unit 3 -> 7*3 + 4.4 -> 25.4mm
- Z unit 6 -> 7*6 + 3.8 -> 45.8mm
+ * Z unit 6 -> 7*6 + 4.4 -> 46.4mm
+
+ ## Note:
+ The stacking lip provided here has a 0.6mm fillet instead of coming to a sharp point.
+ Which has a height of 3.55147mm instead of the specified 4.4mm.
+ This **has no impact on stacking height, and can be ignored.**
 
 https://github.com/kennetek/gridfinity-rebuilt-openscad
 

gridfinity-rebuilt-utility.scad

@@ -20,7 +20,7 @@ use <gridfinity-rebuilt-holes.scad>
  * @returns The final value in mm.
  */
 function fromGridfinityUnits(gridfinityUnit, includeLipHeight = false) =
-    gridfinityUnit*7 + (includeLipHeight ? h_lip : 0);
+    gridfinityUnit*7 + (includeLipHeight ? STACKING_LIP_SIZE.y : 0);
 
 /**
  * @Summary Height in mm including fixed heights.
@@ -30,7 +30,7 @@ function fromGridfinityUnits(gridfinityUnit, includeLipHeight = false) =
  * @returns The final value in mm.
  */
 function includingFixedHeights(mmHeight, includeLipHeight = false) =
-    mmHeight + h_bot + h_base + (includeLipHeight ? h_lip : 0);
+    mmHeight + h_bot + h_base + (includeLipHeight ? STACKING_LIP_SIZE.y : 0);
 
 /**
  * @brief Three Functions in One. For height calculations.
@@ -42,14 +42,13 @@ function includingFixedHeights(mmHeight, includeLipHeight = false) =
 function hf (z, gridz_define, style_lip) =
         gridz_define==0 ? fromGridfinityUnits(z, style_lip==2) :
         gridz_define==1 ? includingFixedHeights(z, style_lip==2) :
-        z + ( // Just use z (possibly adding/subtracting lip)
+        gridz_define==2 ? z + (style_lip==2 ? STACKING_LIP_SIZE.y : 0)  :
-            style_lip==1 ? -h_lip :
+        assert(false, "gridz_define must be 0, 1, or 2.")
-            style_lip==2 ? h_lip : 0
-        )
     ;
 
 /**
  * @brief Calculates the proper height for bins. Three Functions in One.
+ * @Details Critically, this does not include the baseplate height.
  * @param z Height value
  * @param d gridz_define as explained in gridfinity-rebuilt-bins.scad
  * @param l style_lip as explained in gridfinity-rebuilt-bins.scad
@@ -324,47 +323,55 @@ module block_base(hole_options, off=0, size=[BASE_SIZE, BASE_SIZE]) {
  * @details Also includes a support base.
  */
 module stacking_lip() {
-    // Technique: Descriptive constant names are useful, but can be unweildy.
+    polygon(STACKING_LIP);
-    // Use abbreviations if they are going to be re-used repeatedly in a small piece of code.
-    inner_slope = stacking_lip_inner_slope_height_mm;
-    wall_height = stacking_lip_wall_height_mm;
-
-    support_wall = stacking_lip_support_wall_height_mm;
-    s_total = stacking_lip_support_height_mm;
-
-    polygon([
-        [0, 0], // Inner tip
-        [inner_slope, inner_slope], // Go out 45 degrees
-        [inner_slope, inner_slope+wall_height], // Vertical increase
-        [stacking_lip_depth, stacking_lip_height], // Go out 45 degrees
-        [stacking_lip_depth, -s_total], // Down to support bottom
-        [0, -support_wall], // Up and in
-        [0, 0] // Close the shape. Tehcnically not needed.
-    ]);
 }
 
 /**
- * @brief Stacking lip with a with a chamfered (rounded) top.
+ * @brief Stacking lip with a with a filleted (rounded) top.
  * @details Based on https://gridfinity.xyz/specification/
  *          Also includes a support base.
  */
-module stacking_lip_chamfered() {
+module stacking_lip_filleted() {
-    radius_center_y = h_lip - r_f1;
+    // Replace 2D edge with a radius.
+    // Method used: tangent, tangent, radius algorithm
+    // See:  https://math.stackexchange.com/questions/797828/calculate-center-of-circle-tangent-to-two-lines-in-space
+    before_fillet = STACKING_LIP[2];
+    to_fillet = STACKING_LIP[3]; // tip, Point to Chamfer
+    after_fillet = STACKING_LIP[4];
+
+    fillet_vectors = [
+        to_fillet - before_fillet,
+        after_fillet - to_fillet,
+        ];
+
+    to_fillet_angle = 180 + atan2(
+            cross(fillet_vectors[0], fillet_vectors[1]),
+            fillet_vectors[0] * fillet_vectors[1]
+        );
+    half_angle = to_fillet_angle / 2;
+
+    // Distance from tip to the center point of the circle.
+    distance_from_edge = STACKING_LIP_FILLET_RADIUS / sin(half_angle);
+
+    // Circle's center point
+    fillet_center_vector = distance_from_edge * [sin(half_angle), cos(half_angle)];
+    fillet_center_point = to_fillet - fillet_center_vector;
+
+    // Exact point edges intersect the circle
+    intersection_distance = fillet_center_vector.y;
+
+//    echo(final_lip_height=fillet_center_point.y + STACKING_LIP_FILLET_RADIUS);
 
     union() {
-        // Create rounded top
+        // Rounded top
-        intersection() {
+        translate(concat(fillet_center_point, [0]))
-            translate([0, radius_center_y, 0])
+        circle(r = STACKING_LIP_FILLET_RADIUS);
-            square([stacking_lip_depth, stacking_lip_height]);
+
-            offset(r = r_f1)
+        // Stacking lip with cutout for circle to fit in
-            offset(delta = -r_f1)
-            stacking_lip();
-        }
-        // Remove pointed top
         difference(){
-            stacking_lip();
+            polygon(STACKING_LIP);
-            translate([0, radius_center_y, 0])
+            translate(concat(to_fillet, [0]))
-            square([stacking_lip_depth*2, stacking_lip_height*2]);
+            circle(r = intersection_distance);
         }
     }
 }
@@ -375,10 +382,10 @@ module stacking_lip_chamfered() {
  */
 module profile_wall(height_mm) {
     assert(is_num(height_mm))
-    translate([r_base - stacking_lip_depth, 0, 0]){
+    translate([r_base - STACKING_LIP_SIZE.x, 0, 0]){
         translate([0, height_mm, 0])
-        stacking_lip_chamfered();
+        stacking_lip_filleted();
-        translate([stacking_lip_depth-d_wall/2, 0, 0])
+        translate([STACKING_LIP_SIZE.x-d_wall/2, 0, 0])
         square([d_wall/2, height_mm]);
     }
 }
@@ -415,7 +422,7 @@ module block_cutter(x,y,w,h,t,s,tab_width=d_tabw,tab_height=d_tabh) {
 
     v_len_tab = tab_height;
     v_len_lip = d_wall2-d_wall+1.2;
-    v_cut_tab = tab_height - (2*r_f1)/tan(a_tab);
+    v_cut_tab = tab_height - (2*STACKING_LIP_FILLET_RADIUS)/tan(a_tab);
     v_cut_lip = d_wall2-d_wall-d_clear;
     v_ang_tab = a_tab;
     v_ang_lip = 45;

standard.scad

@@ -56,8 +56,6 @@ BASEPLATE_SCREW_COUNTERBORE_HEIGHT = 3;
 
 // ****************************************
 
-// top edge fillet radius
-r_f1 = 0.6;
 // internal fillet radius
 r_f2 = 2.8;
 
@@ -74,32 +72,65 @@ d_tabh = 15.85;
 d_tabw = 42;
 // angle of tab
 a_tab = 36;
-// lip height
-h_lip = 3.548;
 
 d_wall2 = r_base-r_c1-d_clear*sqrt(2);
 d_magic = -2*d_clear-2*d_wall+d_div;
 
-
 // ****************************************
 // Stacking Lip Constants
 // Based on https://gridfinity.xyz/specification/
+// Also includes a support base.
 // ****************************************
-stacking_lip_inner_slope_height_mm = 0.7;
-stacking_lip_wall_height_mm = 1.8;
-stacking_lip_outer_slope_height_mm = 1.9;
-stacking_lip_depth =
-    stacking_lip_inner_slope_height_mm +
-    stacking_lip_outer_slope_height_mm;
-stacking_lip_height =
-    stacking_lip_inner_slope_height_mm +
-    stacking_lip_wall_height_mm +
-    stacking_lip_outer_slope_height_mm;
 
-// Extracted from `profile_wall_sub_sub`.
+/**
-stacking_lip_support_wall_height_mm = 1.2;
+ * @Summary Fillet so the stacking lip does not come to a sharp point.
-stacking_lip_support_height_mm =
+ */
-    stacking_lip_support_wall_height_mm + d_wall2;
+STACKING_LIP_FILLET_RADIUS = 0.6;
+
+/**
+ * @Summary Height of the innermost section. In mm.
+ * @Details Used to keep the innermost lip from just being a triangle.
+ *          Spec implicitly expects wall width to equal stacking lip depth, so does not define this.
+ */
+STACKING_LIP_SUPPORT_HEIGHT = 1.2;
+
+/**
+ * @Summary Stacking lip as defined in the spec.  No support.
+ */
+RAW_STACKING_LIP = [
+    [0, 0], // Inner tip
+    [0.7, 0.7], // Go out 45 degrees
+    [0.7, (0.7+1.8)], // Vertical increase
+    [(0.7+1.9), (0.7+1.8+1.9)], // Go out 45 degrees
+];
+
+/**
+ * @Summary Size of the stacking lip.
+ * @Details "x": How deep the stacking lip protrudes into the bin.
+ *               Including wall thickness.
+ *          "y": The height of the stacking lip.
+ */
+STACKING_LIP_SIZE = RAW_STACKING_LIP[3];
+
+_stacking_lip_support_angle = 45;
+
+/**
+ * @Summary Calculated value for the overall height of the stacking lip.
+ *          Including support.
+ */
+_stacking_lip_support_height_mm =
+    STACKING_LIP_SUPPORT_HEIGHT
+    + tan(90 - _stacking_lip_support_angle) * STACKING_LIP_SIZE.x;
+
+/**
+ * @Summary Stacking lip with a support.
+ * @Details Support is so the stacking lip is not floating in mid air when wall width is less than stacking lip depth.
+ */
+STACKING_LIP = concat(RAW_STACKING_LIP, [
+    [STACKING_LIP_SIZE.x, -_stacking_lip_support_height_mm], // Down to support bottom
+    [0, -STACKING_LIP_SUPPORT_HEIGHT], // Up and in (to bottom inner support)
+    [0, 0] // Close the shape. Technically not needed.
+]);
 
 // ****************************************
 // Base constants