diff --git a/engine-proto/gram-test/descent-test.jl b/engine-proto/gram-test/overlapping-pyramids.jl
similarity index 89%
rename from engine-proto/gram-test/descent-test.jl
rename to engine-proto/gram-test/overlapping-pyramids.jl
index 0c66311..1be29e7 100644
--- a/engine-proto/gram-test/descent-test.jl
+++ b/engine-proto/gram-test/overlapping-pyramids.jl
@@ -34,12 +34,12 @@ gram[1, 6] = gram[6, 1]
 
 # in this initial guess, the mutual tangency condition is satisfied for spheres
 # 1 through 5
-guess = sqrt(0.5) * BigFloat[
-  1  1 -1 -1  0       -0.1  0.3;
-  1 -1  1 -1  0       -0.5  0.4;
-  1 -1 -1  1  0        0.1 -0.2;
-  0  0  0  0 -sqrt(6)  0.3 -0.2;
-  1  1  1  1  2        0.2  0.1;
+guess = sqrt(1/BigFloat(2)) * BigFloat[
+  1  1 -1 -1  0                 -0.1  0.3;
+  1 -1  1 -1  0                 -0.5  0.4;
+  1 -1 -1  1  0                  0.1 -0.2;
+  0  0  0  0 -sqrt(BigFloat(6))  0.3 -0.2;
+  1  1  1  1  2                  0.2  0.1;
 ]
 
 # complete the gram matrix using gradient descent