XerxesZorgon

function rotating_squares(n_squares)
%ROTATING_SQUARES  Animate a chain of N squares linked at corners.
%
%  Geometry
%  --------
%  Each child square has sides 1/3 of its parent.  One corner of the child
%  is pinned to the top-right corner of the parent and rotates about that
%  pivot.  The child's angular speed is 3× the parent's, matching the
%  1:3 perimeter ratio (rolling-contact analogy for squares).
%

XerxesZorgon

using ModelingToolkit, OrdinaryDiffEq
include(joinpath(@__DIR__, "parameters.jl"))

# Independent variable
@independent_variableusing ModelingToolkit, OrdinaryDiffEq
include(joinpath(@__DIR__, "parameters.jl"))

# Independent variable
@independent_variables t

XerxesZorgon

# circular_equations.jl
# Numerical verification for "Circular Functions" — Wild Peaches
# Requires: Pkg.add("Polynomials")

using Polynomials

# ── 1. Cubic  3z³ − 9z² + 6z − 1 = 0,  z = x² ──────────────────
p = Polynomial([-1.0, 6.0, -9.0, 3.0])      # coefficients constant-first
z_poly = sort(real.(roots(p)))

XerxesZorgon

XerxesZorgon

package com.example.buckarootime

import android.Manifest
import android.content.pm.PackageManager
import android.os.Bundle
import android.os.Looper
import androidx.activity.ComponentActivity
import androidx.activity.compose.setContent
import androidx.activity.result.contract.ActivityResultContracts
import androidx.compose.foundation.layout.*

XerxesZorgon

XerxesZorgon

#=
Solves a geometry problem using linear algebra and Heron's formula
See: Red Flag Day Geometry

using Revise
Load with: includet("redflag.jl")

=#

using LinearAlgebra

XerxesZorgon

/*
The PI License

Finds a four digit prime number n such that n is
	- Balanced: A prime equidistant from the previous and subsequent prime numbers.
	- Odious: A number is odious if the binary representation of the number as an odd number of 1's, and is evil if the number of 1's is even.
	- Happy: Add the squares of the digits to get a new number. Continue the process and if you ever get to $1$, the original number is happy.
	- Apocalyptic: If 2^n contains the sequence 666, then n is apocalyptic.
	
Author: John Peach

XerxesZorgon

// Gmsh project created on Mon Jun 17, 2024
SetFactory("OpenCASCADE");

// Define points
L = 0.5;    // Tube length
H = 0.05;   // Tube width
N = 10;     // Number of rectangles along length of the tube
Point(1) = {0, 0, 0, 1.0};
Point(2) = {L, 0, 0, 1.0};
Point(3) = {L, H, 0, 1.0};

XerxesZorgon

// Shape parameters
sphereRadius = 0.65;
cylinderRadius = 0.3;
cylinderHeight = 1.1;

// Top level difference operation
difference(){

    // Intersection of cube and sphere
    intersection(){