MathPlotAI Logo MathPlotAI

Pyramid Construction and Geometry Demo by rowanw

Pyramid Construction and Geometry Demo by rowanw
Loading the math board and drawing, please wait…
2015-10-08 01:49
Solid GeometryOptimizationGeometric Construction
This example dynamically demonstrates the geometric construction and properties of pyramids using GeoGebra. It involves core math concepts like area calculation, exponential functions, distributions, statistical characteristics, and linear programming. Construction highlights include commands like Circle, Intersect, Point, Segment, and Midpoint. Suitable for high school and above learners for understanding solid geometry and optimization problems.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Circle(B, C) → d
  3. Circle(C, A) → e
  4. Circle(C, B) → f
  5. Circle(C, D) → g
  6. Intersect(c, e, 1) → E
  7. Circle(C, E) → h
  8. Circle(C, F) → k
  9. Point(c) → G
  10. Circle(C, G) → p
  11. Point(d) → H
  12. Circle(C, H) → q
  13. Point(q) → I
  14. Circle(C, I) → r
  15. Circle(C, G) → s
  16. Circle(C, I) → t
  17. Circle(C, J) → c_1
  18. Point(c_1) → K
  19. Circle(C, K) → d_1
  20. Circle(C, L) → e_1
  21. Segment(M, N) → a
  22. Segment(O, N) → b
  23. Segment(M, O) → i
  24. Midpoint(i) → P
  25. Midpoint(b) → Q
  26. Midpoint(a) → R
  27. Segment(P, Q) → j
  28. Segment(R, Q) → l
  29. Segment(R, P) → m
  30. Midpoint(j) → S
  31. Midpoint(P, O) → T
  32. Midpoint(Q, O) → U
  33. Midpoint(Q, N) → V
  34. Midpoint(R, N) → W
  35. Midpoint(R, Q) → Z
  36. Midpoint(R, P) → A_1
  37. Midpoint(P, M) → B_1
  38. Midpoint(R, M) → C_1
  39. Segment(B_1, A_1) → n
  40. Segment(C_1, A_1) → a_1
  41. Segment(B_1, C_1) → b_1
  42. Segment(A_1, S) → f_1
  43. Segment(Z, A_1) → g_1
  44. Segment(S, Z) → h_1
  45. Segment(Z, V) → i_1
  46. Segment(Z, W) → j_1
  47. Segment(W, V) → k_1
  48. Segment(S, U) → l_1
  49. Segment(S, T) → m_1
  50. Segment(U, T) → n_1
  51. Midpoint(C_1, B_1) → D_1
  52. Midpoint(M, B_1) → E_1
  53. Midpoint(M, C_1) → F_1
  54. Midpoint(C_1, A_1) → G_1
  55. Midpoint(C_1, R) → H_1
  56. Midpoint(A_1, R) → I_1
  57. Midpoint(A_1, P) → J_1
  58. Midpoint(P, B_1) → K_1
  59. Midpoint(A_1, B_1) → L_1
  60. Midpoint(T, P) → M_1
  61. Midpoint(S, P) → N_1
  62. Midpoint(T, S) → O_1
  63. Midpoint(S, A_1) → P_1
  64. Midpoint(S, Z) → Q_1
  65. Midpoint(A_1, Z) → R_1
  66. Midpoint(Z, R) → S_1
  67. Midpoint(Z, W) → T_1
  68. Midpoint(W, R) → U_1
  69. Midpoint(T, U) → V_1
  70. Midpoint(O, U) → W_1
  71. Midpoint(O, T) → Z_1
  72. Midpoint(U, S) → A_2
  73. Midpoint(U, Q) → B_2
  74. Midpoint(S, Q) → C_2
  75. Midpoint(Q, Z) → D_2
  76. Midpoint(Q, V) → E_2
  77. Midpoint(Z, V) → F_2
  78. Midpoint(V, W) → G_2
  79. Midpoint(V, N) → H_2
  80. Midpoint(W, N) → I_2
  81. Segment(E_1, F_1) → p_1
  82. Segment(D_1, F_1) → q_1
  83. Segment(E_1, D_1) → r_1
  84. Segment(L_1, D_1) → s_1
  85. Segment(G_1, D_1) → t_1
  86. Segment(L_1, G_1) → a_2
  87. Segment(A_1, G_1) → b_2
  88. Segment(I_1, G_1) → c_2
  89. Segment(G_1, H_1) → d_2
  90. Segment(I_1, H_1) → e_2
  91. Segment(J_1, L_1) → f_2
  92. Segment(K_1, L_1) → g_2
  93. Segment(J_1, K_1) → h_2
  94. Segment(N_1, J_1) → i_2
  95. Segment(P_1, J_1) → j_2
  96. Segment(R_1, I_1) → k_2
  97. Segment(S_1, I_1) → l_2
  98. Segment(R_1, S_1) → m_2
  99. Segment(S_1, U_1) → n_2
  100. Segment(U_1, E_2) → p_2
  101. Segment(W, V) → q_2
  102. Segment(H_2, I_2) → r_2
  103. Segment(G_2, S_1) → s_2
  104. Segment(H_2, G_2) → t_2
  105. Segment(W, G_2) → a_3
  106. Segment(G_2, I_2) → b_3
  107. Segment(Z_1, G_2) → c_3
  108. Segment(M_1, B_2) → d_3
  109. Segment(R_1, B_2) → e_3
  110. Segment(N_1, W_1) → f_3
  111. Segment(M_1, R_1) → g_3
  112. Segment(P_1, E_2) → h_3
  113. Segment(Z_1, W_1) → i_3
  114. Midpoint(M, F_1) → J_2
  115. Midpoint(F_1, C_1) → K_2
  116. Midpoint(C_1, H_1) → L_2
  117. Midpoint(H_1, R) → M_2
  118. Midpoint(R, U_1) → N_2
  119. Midpoint(U_1, W) → O_2
  120. Midpoint(W, I_2) → P_2
  121. Midpoint(I_2, N) → Q_2
  122. Midpoint(M, E_1) → R_2
  123. Midpoint(E_1, B_1) → S_2
  124. Midpoint(B_1, K_1) → T_2
  125. Midpoint(K_1, P) → U_2
  126. Midpoint(P, M_1) → V_2
  127. Midpoint(M_1, T) → W_2
  128. Midpoint(T, Z_1) → Z_2
  129. Midpoint(Z_1, O) → A_3
  130. Midpoint(O, W_1) → B_3
  131. Midpoint(W_1, U) → C_3
  132. Midpoint(U, B_2) → D_3
  133. Midpoint(B_2, Q) → E_3
  134. Midpoint(Q, E_2) → F_3
  135. Midpoint(E_2, V) → G_3
  136. Midpoint(V, H_2) → H_3
  137. Midpoint(H_2, N) → I_3
  138. Segment(R_2, I_3) → j_3
  139. Segment(J_2, B_3) → k_3
  140. Segment(K_2, C_3) → l_3
  141. Segment(L_2, D_3) → m_3
  142. Segment(M_2, E_3) → n_3
  143. Segment(N_2, F_3) → p_3
  144. Segment(O_2, G_3) → q_3
  145. Segment(P_2, H_3) → r_3
  146. Segment(Q_2, I_3) → s_3
  147. Segment(S_2, H_3) → t_3
  148. Segment(T_2, G_3) → a_4
  149. Segment(U_2, F_3) → b_4
  150. Segment(V_2, E_3) → c_4
  151. Segment(W_2, D_3) → d_4
  152. Segment(Z_2, C_3) → e_4
  153. Segment(A_3, B_3) → f_4
  154. Segment(S_2, K_2) → g_4
  155. Segment(T_2, L_2) → h_4
  156. Segment(U_2, M_2) → i_4
  157. Segment(V_2, N_2) → j_4
  158. Segment(W_2, O_2) → k_4
  159. Segment(Z_2, P_2) → l_4
  160. Segment(A_3, Q_2) → m_4
  161. Segment(R_2, J_2) → n_4