{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ed98689b",
   "metadata": {},
   "outputs": [],
   "source": [
    "%display latex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "15fb3be7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import fp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a3e7c085",
   "metadata": {},
   "outputs": [],
   "source": [
    "S=fp.Square(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d09d9e64",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 76 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6d136a42",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html>\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}10087.054885133794\\]</html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}10087.054885133794$$"
      ],
      "text/plain": [
       "10087.054885133794"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S.fp()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "cef0fd6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "P=fp.Polygon(\"u5rd4r3u3rd4l5\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "1e8a664d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 83 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "P.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "42a2caa5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html>\\[\\newcommand{\\Bold}[1]{\\mathbf{#1}}13876.536297311974\\]</html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}13876.536297311974$$"
      ],
      "text/plain": [
       "13876.536297311974"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P.fp()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4ac757a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "matrix.identity(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1d8ad9f2",
   "metadata": {},
   "outputs": [],
   "source": [
    "B.nrows()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b28eab62",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "SageMath 9.5",
   "language": "sage",
   "name": "sagemath"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}