Update index.html

Author: Gmac4247

index.html

@@ -104,7 +104,9 @@
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 {
   "@context": "https://schema.org",
@@ -113,7 +115,7 @@
  "about": {
     "@type": "AboutPage",
     "name": "About Basic Geometry Formulas",
-    "url": "https://basic-geometry.github.io/about"
+    "url": "https://gmac4247.github.io/about"
   },
   "alternateName": "Exact Geometry",
 "accessMode" : "mathOnVisual" ,
@@ -228,7 +230,7 @@
      "@type": "SolveMathAction",
        "name": "Area of a square",
 	"description": "The basis of area calculation",
-"target": "https://basic-geometry.github.io",
+"target": "https://gmac4247.github.io",
  "mathExpression-input": "required square_side=5_Area=?",
   "mathExpression-output": "area = side * side = side^2",
    "abstract": "A rectangle is a 2 dimensional plane shape. Its measurable properties are its width and its length. Its area equals width * length. Related shapes are triangle, cube, cuboid and rectangle. A square is a special type of a rectangle with equal width and length. Related shapes are square, cuboid and triangle.",
@@ -241,7 +243,7 @@
      "@type": "SolveMathAction",
        "name": "Volume of a cube",
        "description": "The basis of volume calculation",
-     "target": "https://basic-geometry.github.io",
+     "target": "https://gmac4247.github.io",
           "mathExpression-input": "required cube_edge=5_Volume=?",
      "mathExpression-output": "volume = edge * edge * edge = edge^3",  
         "abstract": "A cuboid is a 3 dimensional solid shape. Its measurable properties are width, length and height. Its volume is width * length * height. Its projections are rectangle, rectangle and rectangle. Related shapes are regular polygon based block, square, cube and rectangle. A cube is a special case of a cuboid. Its measurable property is its edge length. Its projections are square, square and square. Related shapes are sphere, square and cuboid.",
@@ -255,7 +257,7 @@
 	"name": "Area of a circle",
      "description": "The exact area of a circle based on direct comparison with a square.",
      "disambiguatingDescription": "Replaces traditional π-based approximations ensuring greater accuracy in real-world measurements.",
-	"target": "https://basic-geometry.github.io",
+	"target": "https://gmac4247.github.io",
 "mathExpression-input": "required circle_radius=5_Area=?",
      "mathExpression-output": "3.2 * radius^2",
   "abstract": "A circle is a 2 dimensional plane shape. Its measurable property is its diameter. Its radius is half of the diameter. Related shapes are sphere, cylinder and cone.",
@@ -269,7 +271,7 @@
        "name":  "Area of a circle segment",
 "description": "The exact area of a circle segment by subtracting a triangle from a circle slice.",
    "disambiguatingDescription": "Equivalent to the conventional method, but relies on trigonometric functions.",
-	"target": "https://basic-geometry.github.io",
+	"target": "https://gmac4247.github.io",
      "mathExpression-input": "required segment_radius=5_height=2_Area=?",
      "mathExpression-output": "Acos((radius-segmentHeight) / radius) * radius^2 - sin(Acos((radius-segmentHeight)/radius)) * (radius-segmentHeight) * radius", 
     "image": "circleSegment.jpg",
@@ -281,7 +283,7 @@
 "name": "Circumference of a circle",
      "description": "Algebraic derivation of the exact circumference of a circle from its area",
 "disambiguatingDescription": "Replaces traditional π-based approximations ensuring greater accuracy in real-world measurements.",
-	"target": "https://basic-geometry.github.io",
+	"target": "https://gmac4247.github.io",
 "mathExpression-input": "required circle_radius=5_Circumference=?", 
      "mathExpression-output": "6.4 * radius",
      "image": "circumference.jpg",
@@ -293,7 +295,7 @@
 	"name": "Volume of a sphere",
 	 "description": "The exact volume of a sphere by directly comparing it to a cube.",
     "disambiguatingDescription": "More accurate than the traditional 4 × π × r³ / 3 formula.",
-"target": "https://basic-geometry.github.io",
+"target": "https://gmac4247.github.io",
     "mathExpression-input": "required cone_radius=5_height=3_Volume=?",
      "mathExpression-output": "3.2 * radius^2 * height / sqrt(8)",
     "abstract": "A sphere is a 3 dimensional solid shape. Its measurable property is its diameter. Its radius is half of the diameter. Its projection is a circle. Related shapes are circle, cylinder, cube and cone.",
@@ -307,7 +309,7 @@
          "name": "Volume of a spherical cap",
         "description": "The volume of a spherical cap based on the radius and the height of the cap.",
      "disambiguatingDescription": "More accurate than the conventional formula ",
-	"target": "https://basic-geometry.github.io",
+	"target": "https://gmac4247.github.io",
      "mathExpression-input": "required cap_radius=5_height=3_Volume=?",
      "mathExpression-output": "1.6 * radius^2 * sqrt(3.2) * height", 
     "image": "sphericalCap.jpg",
@@ -319,7 +321,7 @@
       "name": "Volume of a cone",
 	 "description": "The exact volume of a cone by comparing the volume of a quarter cone to an octant sphere with an equal radius.",
 	"disambiguatingDescription": "Direct shape relationships ensure greater accuracy in real-world measurements then the base × height / 3 approximation.",
-	"target": "https://basic-geometry.github.io",
+	"target": "https://gmac4247.github.io",
         "mathExpression-input": "required cone_radius=5_height=3_Volume=?",
      "mathExpression-output": "3.2 * radius^2 * height / sqrt(8)",
       "abstract": "A cone is a 3 dimensional solid shape. Its measurable properties are its height and diameter. Its radius is half of the diameter. Its projections are circle and triangle. Related shapes are triangle, tetrahedron, regular polygon based pyramid, circle, cylinder and sphere.",
@@ -338,7 +340,7 @@
        "name": "Volume of a frustum cone",
        "description": "The exact volume of a frustum cone based on its top and bottom diameter and height by subtracting the missing tip from a theoretical full cone.",
      "disambiguatingDescription": "Not the translation of the simplified formula of the frustum pyramid.",
-	"target": "https://basic-geometry.github.io",
+	"target": "https://gmac4247.github.io",
      "mathExpression-input": "required bottomDiameter=5_topDiameter=2_frustumHeight=3_Volume=?",
      "mathExpression-output": "frustumHeight * (4 / 5 * bottomDiameter^2 * (1 / (1 - topDiameter / bottomDiameter)) - 4 / 5 * topDiameter^2 * (1 / (1 - topDiameter / bottomDiameter) - 1)) / sqrt(8)",
        "image": "frustumOfConeMarkup.png",
@@ -350,7 +352,7 @@
        "name":"Surface area of a cone",
        "description": "The exact surface area of a cone based on its radius and height.",
      "disambiguatingDescription": "Based on the real height.",
-	"target": "https://basic-geometry.github.io",
+	"target": "https://gmac4247.github.io",
 "mathExpression-input": "required cone_radius=5_height=3_Area=?",
      "mathExpression-output": "3.2 * radius * (radius + sqrt(radius^2 +height^2))", 
          "image": "coneMarkup.jpeg",
@@ -362,7 +364,7 @@
        "name": "Volume of a pyramid",
      "description": "The exact volume of a pyramid based on its bottom area and height using the base × height / √8 coefficient of the volume of a cone",
      "disambiguatingDescription": "Direct shape relationships ensure greater accuracy in real-world measurements then the base × height / 3 approximation.",
-	"target": "https://basic-geometry.github.io",
+	"target": "https://gmac4247.github.io",
           "mathExpression-input": "required pyramid_baseArea=5_height=3_Volume=?",
      "mathExpression-output": "baseArea * height / sqrt(8)", 
       "abstract": "A regular pyramid is a 3 dimensional solid shape. Its measurable properties are its number and length of the sides of its base and its height. Its projections are polygon and triangle. Related shapes are regular polygon, regular polygon based block, tetrahedron, cone and triangle.",
@@ -379,7 +381,7 @@
         "name": "Volume of a square frustum pyramid",
     "description": "The exact volume of a square frustum pyramid based on its top and bottom base area and height",
      "disambiguatingDescription": "The formula subtracts the missing tip from a theoretical full pyramid. Universally applicable",
-	"target": "https://basic-geometry.github.io",
+	"target": "https://gmac4247.github.io",
 "mathExpression-input": "required bottomEdge=5_topEdge=3_frustumHeight=2_Volume=?",
        "mathExpression-output": "frustumHeight * (bottomEdge^2 * (1 / (1 - topEdge / bottomEdge)) - topEdge^2 * (1 / (1 - topEdge / bottomEdge) - 1)) / sqrt(8)",
   "image": "frustumOfPyramidMarkup.png",
@@ -391,7 +393,7 @@
        "name": "Volume of a tetrahedron",
        "description": "The exact volume of a tetrahedron based on its edge length using the exact base × height / √8 coefficient of the volume of a cone",
      "disambiguatingDescription": "Direct shape relationships ensure greater accuracy in real-world measurements then the base × height / 3 approximation.",
-"target": "https://basic-geometry.github.io",
+"target": "https://gmac4247.github.io",
      "mathExpression-input": "required edge=5_Volume=?",
      "mathExpression-output": "edge^3 / 8", 
    "abstract": "A tetrahedron is a 3 dimensional solid shape. Its measurable property is its edge length. Its projections are triangle and triangle. Related shapes are triangle, regular polygon based pyramid and cone.",
@@ -401,7 +403,7 @@
    }
 
   ],
-"url": "https://basic-geometry.github.io", 
+"url": "https://gmac4247.github.io", 
 "usageInfo":"Calculate area and volume with enhanced accuracy using the Core Geometric System ™. This innovative framework provides a practical alternative to traditional methods, rooted in comparative geometry and scaling principles. Learn exact formulas for circles (A = 3.2r^2, C = 6.4r), spheres (V = (√(3.2)r)^3), cones, and more, with applications in engineering, computer graphics, and scientific research."
 },
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