Astroid.des 6.3 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185
  1. {
  2. "version": 5,
  3. "graph": {
  4. "viewport": {
  5. "xmin": -6.940063748235457,
  6. "ymin": -7.134541429238188,
  7. "xmax": 6.961266580431917,
  8. "ymax": 6.766788899429186
  9. }
  10. },
  11. "expressions": {
  12. "list": [
  13. {
  14. "type": "expression",
  15. "id": "1",
  16. "color": "#c74440",
  17. "latex": "N=26",
  18. "sliderHardMin": true,
  19. "sliderHardMax": true,
  20. "sliderMin": "1",
  21. "sliderMax": "40",
  22. "sliderInterval": "1",
  23. "style": "SOLID"
  24. },
  25. {
  26. "type": "expression",
  27. "id": "12",
  28. "color": "#2d70b3",
  29. "latex": "n=\\left[0,\\frac{1}{N},...,\\frac{N-1}{N}\\right]",
  30. "style": "SOLID"
  31. },
  32. {
  33. "type": "expression",
  34. "id": "13",
  35. "color": "#388c46",
  36. "latex": "a=5",
  37. "sliderHardMin": true,
  38. "sliderHardMax": true,
  39. "sliderPlayDirection": -1,
  40. "sliderMin": "0",
  41. "sliderInterval": "0.2",
  42. "style": "SOLID"
  43. },
  44. {
  45. "type": "folder",
  46. "id": "18",
  47. "title": "Astroid 1 直线截距平方和为定值,椭圆长短半轴之和为定值",
  48. "hidden": true,
  49. "collapsed": true,
  50. "memberIds": {
  51. "15": true,
  52. "17": true,
  53. "24": true,
  54. "25": true,
  55. "32": true
  56. }
  57. },
  58. {
  59. "type": "expression",
  60. "id": "24",
  61. "color": "#c74440",
  62. "latex": "x=0\\left\\{-a<y<a\\right\\}",
  63. "style": "SOLID"
  64. },
  65. {
  66. "type": "expression",
  67. "id": "25",
  68. "color": "#c74440",
  69. "latex": "y=0\\left\\{-a<x<a\\right\\}",
  70. "style": "SOLID"
  71. },
  72. {
  73. "type": "expression",
  74. "id": "15",
  75. "color": "#c74440",
  76. "latex": "\\left(\\frac{x}{a\\cdot n}\\right)^2+\\left(\\frac{y}{a\\left(1-n\\right)}\\right)^2=1",
  77. "style": "SOLID"
  78. },
  79. {
  80. "type": "expression",
  81. "id": "32",
  82. "color": "#2d70b3",
  83. "latex": "\\frac{\\left|x\\right|}{a\\sqrt{n}}+\\frac{\\left|y\\right|}{a\\sqrt{1-n}}=1",
  84. "style": "SOLID"
  85. },
  86. {
  87. "type": "expression",
  88. "id": "17",
  89. "color": "#000000",
  90. "latex": "\\left(\\frac{x}{a}\\right)^{\\frac{2}{3}}+\\left(\\frac{y}{a}\\right)^{\\frac{2}{3}}=1",
  91. "hidden": true,
  92. "lineStyle": "DASHED",
  93. "style": "SOLID"
  94. },
  95. {
  96. "type": "folder",
  97. "id": "19",
  98. "title": "Astroid 2 直线截距之和为定值,椭圆长短半轴之2/3方和为定值",
  99. "hidden": true,
  100. "collapsed": true,
  101. "memberIds": {
  102. "14": true,
  103. "16": true,
  104. "36": true
  105. }
  106. },
  107. {
  108. "type": "expression",
  109. "id": "36",
  110. "color": "#c74440",
  111. "latex": "\\left(\\frac{x}{a\\cdot n^{\\frac{3}{2}}}\\right)^2+\\left(\\frac{y}{a\\left(1-n\\right)^{\\frac{3}{2}}}\\right)^2=1",
  112. "style": "SOLID"
  113. },
  114. {
  115. "type": "expression",
  116. "id": "16",
  117. "color": "#2d70b3",
  118. "latex": "\\frac{\\left|x\\right|}{na}+\\frac{\\left|y\\right|}{\\left(1-n\\right)a}=1",
  119. "style": "SOLID"
  120. },
  121. {
  122. "type": "expression",
  123. "id": "14",
  124. "color": "#000000",
  125. "latex": "\\left(\\frac{\\left|x\\right|}{a}\\right)^{\\frac{1}{2}}+\\left(\\frac{\\left|y\\right|}{a}\\right)^{\\frac{1}{2}}=1",
  126. "lineStyle": "DASHED",
  127. "style": "SOLID"
  128. },
  129. {
  130. "type": "folder",
  131. "id": "44",
  132. "title": "Astroid 3 The end",
  133. "hidden": true,
  134. "collapsed": true,
  135. "memberIds": {
  136. "37": true,
  137. "39": true,
  138. "41": true,
  139. "45": true
  140. }
  141. },
  142. {
  143. "type": "expression",
  144. "id": "37",
  145. "color": "#c74440",
  146. "latex": "o=0.5",
  147. "sliderHardMin": true,
  148. "sliderHardMax": true,
  149. "sliderMin": "-2",
  150. "sliderMax": "3",
  151. "sliderInterval": "0.1",
  152. "style": "SOLID"
  153. },
  154. {
  155. "type": "expression",
  156. "id": "39",
  157. "color": "#c74440",
  158. "latex": "\\left(\\frac{x}{a\\cdot n^o}\\right)^2+\\left(\\frac{y}{a\\left(1-n\\right)^o}\\right)^2=1",
  159. "style": "SOLID"
  160. },
  161. {
  162. "type": "expression",
  163. "id": "41",
  164. "color": "#2d70b3",
  165. "latex": "\\frac{\\left|x\\right|}{an^{\\left(o-\\frac{1}{2}\\right)}}+\\frac{\\left|y\\right|}{a\\left(1-n\\right)^{\\left(o-\\frac{1}{2}\\right)}}=1",
  166. "style": "SOLID"
  167. },
  168. {
  169. "type": "expression",
  170. "id": "45",
  171. "color": "#000000",
  172. "latex": "\\left(\\frac{\\left|x\\right|}{a}\\right)^{\\frac{1}{o+\\frac{1}{2}}}+\\left(\\frac{\\left|y\\right|}{a}\\right)^{\\frac{1}{o+\\frac{1}{2}}}=1",
  173. "lineStyle": "DASHED",
  174. "style": "SOLID"
  175. },
  176. {
  177. "type": "expression",
  178. "id": "34",
  179. "color": "#388c46",
  180. "latex": "\\left(\\frac{x}{a\\cdot\\sqrt{n}}\\right)^2+\\left(\\frac{y}{a\\sqrt{1-n}}\\right)^2=1",
  181. "style": "SOLID"
  182. }
  183. ]
  184. }
  185. }