Déterminer le nombre de
sommets, de faces et
d'arêtes de ce solide.

valider

valider

valider

S =

F =

A =

sommets: 8
faces: 12
aretes: 30
rep1: 0
rep2: 0
rep3: 0
ChampTexte1 = Textfield(rep1)
ChampTexte2 = Textfield(rep2)
ChampTexte3 = Textfield(rep3)
a: 2
b: a / ((2 * sqrt(2)))
c: (3 * b)
A: (c, b, b)
B: (c, (-b), (-b))
F: ((-b), c, (-b))
C: ((-c), b, (-b))
D: ((-c), (-b), b)
E: (b, c, b)
G: (b, (-c), (-b))
H: ((-b), (-c), b)
I: (b, b, c)
J: ((-b), (-b), c)
K: ((-b), b, (-c))
L: (b, (-b), (-c))
O: (0, 0, 0)
M = point_dual(J, H, G, O)
N = point_dual(G, L, B, O)
P = point_dual(I, A, E, O)
Q = point_dual(B, L, K, O)
R = point_dual(F, K, C, O)
S = point_dual(D, C, K, O)
T = point_dual(J, D, H, O)
U = point_dual(J, D, C, O)
t5, q, u, r = Polygon(U, R, Q)
t6, s, u_1, r_1 = Polygon(U, R, S)
t7, s_1, r_2, q_1 = Polygon(R, Q, S)
t8, u_2, t, s_2 = Polygon(T, S, U)
t9, m, t_1, u_3 = Polygon(T, U, M)
t10, s_3, t_2, m_1 = Polygon(T, M, S)
t11, s_4, m_2, n = Polygon(M, N, S)
t12, q_2, m_3, n_1 = Polygon(M, N, Q)
t13, m_4, p, q_3 = Polygon(P, Q, M)
t14, q_4, p_1, u_4 = Polygon(P, U, Q)
t1, m_5, u_5, p_2 = Polygon(U, P, M)
t2, n_2, s_5, q_5 = Polygon(S, Q, N)

Tool: perp_espace
Outil1[ <Point>, <Point>, <Point> ]
Input: W, H, A1
Output: f_5

A1: (0, 0, 0)
A_1 = Midpoint(W, H)
p_5 = Plane(W, H, A1)
f_5 = OrthogonalLine(A_1, p_5)

Tool: point_dual
point_dual[ <Point>, <Point>, <Point>, <Point> ]
Input: B, C, D, O
Output: M

O: (0, 0, 0)
m = perp_espace(B, C, O)
n = perp_espace(C, D, O)
M = Intersect(n, m)